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["A Beginners Guide to the Steel Construction Manual, 16th Edition",null,null,null,null,null,null,"last modified:  30 May 2023"]
["Example 8.1",null,null,null,null,null,null,"by:  TBQ"]
[]
[]
[]
[]
[]
[null,"Section","W18X35",null,null,"d",{"$f":"VLOOKUP(C8,StlSects,6)","v":17.7},"in","rts",{"$f":"SQRT(SQRT(G16*G19)/G14)","v":1.514215992926673},"in"]
[null,"Steel","A992",null,null,"tw",{"$f":"VLOOKUP(C8,StlSects,12)","v":0.3},"in","ho",{"$f":"+G8-G10","v":17.274999999999999},"in"]
[null,"Span",40,"ft",null,"tf",{"$f":"VLOOKUP(C8,StlSects,13)","v":0.42499999999999999},"in","Aw",{"$f":"+G8*G9","v":5.31},"in2"]
[null,"Fy",{"$f":"VLOOKUP(C9,StlProps,2)","v":50},"ksi",null,"bf/2tf",{"$f":"VLOOKUP(C8,StlSects,25)","v":7.06}]
[null,null,null,null,null,"h/tw",{"$f":"VLOOKUP(C8,StlSects,27)","v":53.5}]
[null,null,"Shear","Flexure",null,"Zx",{"$f":"VLOOKUP(C8,StlSects,31)","v":66.5},"in3"]
[null,"f",1,0.9,null,"Sx",{"$f":"VLOOKUP(C8,StlSects,32)","v":57.6},"in3"]
[null,"W",1.5,1.67,null,"Ix",{"$f":"VLOOKUP(C8,StlSects,30)","v":510},"in4"]
[null,null,null,null,null,"Iy",{"$f":"VLOOKUP(C8,StlSects,34)","v":15.3},"in4"]
[null,null,null,null,null,"ry",{"$f":"VLOOKUP(C8,StlSects,37)","v":1.22},"in "]
[null,null,null,null,null,"J",{"$f":"VLOOKUP(C8,StlSects,39)","v":0.50600000000000001},"in4"]
[null,null,null,null,null,"Cw",{"$f":"VLOOKUP(C8,StlSects,40)","v":1140}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Solution:"]
[]
[null,"Results Summary"]
[]
[null,"Table of Ps,eq (kips)"]
[null,null,"Flexure",null,"Shear",null,"Deflection",null,"Controlling Ps,eq",null,"Controlling Limit State"]
[null,"part","LRFD","ASD","LRFD","ASD","TL","LL Only","LRFD","ASD","LRFD","ASD"]
[null,"a",{"$f":"D133","v":19.6875},{"$f":"I133","v":19.910179640718564},{"$f":"+D61","v":251.52631578947367},{"$f":"+I61","v":254.88},{"$f":"+C70","v":15.40625},{"$f":"+I70","v":17.118055555555557},{"$f":"MIN(C36,E36,G36,H36)","v":15.40625},{"$f":"MIN(D36,F36,G36,H36)","v":15.40625},{"$f":"IF(I36=C36,\"Flexure\",IF(I36=E36,\"Shear\",IF(I36=G36,\"TL Defl\",\"LL Defl\")))","v":"TL Defl"},{"$f":"IF(J36=D36,\"Flexure\",IF(J36=F36,\"Shear\",IF(J36=G36,\"TL Defl\",\"LL Defl\")))","v":"TL Defl"}]
[null,"b",{"$f":"D160","v":17.778317948116658},{"$f":"I160","v":17.979403380663552},{"$f":"+E36","v":251.52631578947367},254.88,15.40625,17.118055555555557,{"$f":"MIN(C37,E37,G37,H37)","v":15.40625},{"$f":"MIN(D37,F37,G37,H37)","v":15.40625},{"$f":"IF(I37=C37,\"Flexure\",IF(I37=E37,\"Shear\",IF(I37=G37,\"TL Defl\",\"LL Defl\")))","v":"TL Defl"},{"$f":"IF(J37=D37,\"Flexure\",IF(J37=F37,\"Shear\",IF(J37=G37,\"TL Defl\",\"LL Defl\")))","v":"TL Defl"}]
[null,"c",{"$f":"D189","v":1.906373661186352},{"$f":"I189","v":1.927936104459917},251.52631578947367,254.88,15.40625,17.118055555555557,{"$f":"MIN(C38,E38,G38,H38)","v":1.906373661186352},{"$f":"MIN(D38,F38,G38,H38)","v":1.927936104459917},{"$f":"IF(I38=C38,\"Flexure\",IF(I38=E38,\"Shear\",IF(I38=G38,\"TL Defl\",\"LL Defl\")))","v":"Flexure"},{"$f":"IF(J38=D38,\"Flexure\",IF(J38=F38,\"Shear\",IF(J38=G38,\"TL Defl\",\"LL Defl\")))","v":"Flexure"}]
[null,"d",{"$f":"D195","v":0.5945977849331},{"$f":"I195","v":0.60132310918051357},251.52631578947367,254.88,15.40625,17.118055555555557,{"$f":"MIN(C39,E39,G39,H39)","v":0.5945977849331},{"$f":"MIN(D39,F39,G39,H39)","v":0.60132310918051357},{"$f":"IF(I39=C39,\"Flexure\",IF(I39=E39,\"Shear\",IF(I39=G39,\"TL Defl\",\"LL Defl\")))","v":"Flexure"},{"$f":"IF(J39=D39,\"Flexure\",IF(J39=F39,\"Shear\",IF(J39=G39,\"TL Defl\",\"LL Defl\")))","v":"Flexure"}]
[]
[]
[null,"Compute the Composite Load Factors:"]
[]
[null,null,"D",{"$f":"1/3","v":0.33333333333333331},null,"LRFD",null,null,"ASD"]
[null,null,"L",{"$f":"+D44","v":0.33333333333333331},null,"LC-1",{"$f":"(1.4*D44)","v":0.46666666666666662},null,"LC-1",{"$f":"1*D44","v":0.33333333333333331}]
[null,null,"S",{"$f":"D45","v":0.33333333333333331},null,"LC-2",{"$f":"(1.2*D44+1.6*D45+0.5*D46)","v":1.1000000000000001},null,"LC-2",{"$f":"1*D44+1*D45","v":0.66666666666666663}]
[null,null,null,null,null,"LC-3",{"$f":"(1.2*D44+1.6*D46+D45)","v":1.2666666666666666},null,"LC-3",{"$f":"1*D44+1*D46","v":0.66666666666666663}]
[null,null,null,null,null,"LC-4",{"$f":"1.2*D44+D45+0.5*D46","v":0.89999999999999991},null,"LC-4",{"$f":"1*D44+0.75*(D45+D46)","v":0.83333333333333326}]
[null,null,null,null,null,"Controlling",{"$f":"MAX(G45:G48)","v":1.2666666666666666},null,"Controlling",{"$f":"MAX(J45:J48)","v":0.83333333333333326}]
[]
[null,"The only limit state that varies with laterally unsupported length is LTB.  This means that for all parts of the problem, shear"]
[null,"strength, flexural plastic strength, and FLB are the same.  So… compute those first."]
[]
[null,"Shear Strength"]
[null,null,"h/tw",{"$f":"+G12","v":53.5},null,"< 2.24*sqrt(E/Fy)",{"$f":"2.24*SQRT(29000/C11)","v":53.946343712989488}]
[null,null,"Cv1",{"$f":"IF(G12<=G55,1,\"Use G2.19b)\")","v":1}]
[null,null,"Vn",{"$f":"0.6*C11*J10*D56","v":159.29999999999998},"kips"]
[]
[null,"LRFD:","fVn",{"$f":"+D57*C14","v":159.29999999999998},"ft-k",null,"ASD:","Vn / W",{"$f":"+D57/C15","v":106.19999999999999},"ft-k"]
[null,null,"Pu,max",{"$f":"2*D59","v":318.59999999999997},"k",null,null,"Pa,max",{"$f":"2*I59","v":212.39999999999998},"k"]
[null,null,"Ps,eq",{"$f":"D60/G49","v":251.52631578947367},"k",null,null,"Ps,eq",{"$f":"I60/J49","v":254.88},"k"]
[null,null,"Note:  The shear limit state does not control the problem!  See the Flexural Calculations"]
[]
[null,"Deflection Limit States"]
[]
[null,"Total Load Deflection:  Consider ASD LC-4",null,null,null,null,null,"LL only Deflection:  Consider ASD LC-4 w/ D=0"]
[null,"CLF",{"$f":"+J48","v":0.83333333333333326},null,null,null,null,"CLF",{"$f":"0.75*(D45+D46)","v":0.5}]
[null,"Limit:  = L/",240,"=",{"$f":"+C10/C68*12","v":2},"in",null,"Limit:  = L/",360,"=",{"$f":"+C10/I68*12","v":1.3333333333333333},"in"]
[null,"Pmax = ",{"$f":"E68*48*29000*G15/(C10*12)^3","v":12.838541666666666},"kips",null,null,null,"Pmax = ",{"$f":"K68*48*29000*G15/(C10*12)^3","v":8.5590277777777786},"kips"]
[null,"Ps,eq",{"$f":"C69/C67","v":15.40625},"k",null,null,null,"Ps,eq",{"$f":"I69/I67","v":17.118055555555557},"k"]
[]
[null,"Flexural Yielding Strength",null,null,null,"Flange Local Buckling"]
[null,"  Mp = FyZx =",null,{"$f":"+ $C11*$G13/12","v":277.08333333333331},"ft-k","  lp",{"$f":"0.38*SQRT(29000/$C11)","v":9.1516118798821449}]
[null,null,null,null,null,"  lr",{"$f":"1*SQRT(29000/$C11)","v":24.083189157584592}]
[null,null,null,null,null,"  class",{"$f":"IF(G11<=G73,\"Compact\",IF(G11<=G74,\"Non C.\",\"Slend.\"))","v":"Compact"}]
[null,null,null,null,null,"  Mn",{"$f":"IF(G11<=G73,D73,\"Compute\")","v":277.08333333333331},"ft-k"]
[]
[null,"Lateral Torsional Buckling",null,null,null,null,null,"c",1,"(See SCM F2, eq. F2-8)"]
[]
[null,"Compute the Moment Diagram points needed to compute Cb"]
[]
[null,null,"X","M"]
[null,null,"(ft)","(ft-k)"]
[null,"Support",0,{"$f":"(C84-C$84)*0.5","v":0},"P"]
[null,null,{"$f":"C10/16","v":2.5},1.25,"P"]
[null,null,{"$f":"C85+C$85","v":5},2.5,"P"]
[null,null,{"$f":"C86+C$85","v":7.5},3.75,"P"]
[null,"quarter pnt",10,5,"P"]
[null,null,12.5,6.25,"P"]
[null,null,15,7.5,"P"]
[null,null,17.5,8.75,"P"]
[null,"mid pnt",20,10,"P"]
[null,null,22.5,{"$f":"(C93-C$84)*0.5-(C93-C$92)*1","v":8.75},"P"]
[null,null,25,{"$f":"(C94-C$84)*0.5-(C94-C$92)*1","v":7.5},"P"]
[null,null,27.5,6.25,"P"]
[null,"quarter pnt",30,5,"P"]
[null,null,32.5,3.75,"P"]
[null,null,35,2.5,"P"]
[null,null,37.5,1.25,"P"]
[null,"Support",40,0,"P"]
[]
[]
[null,null,"Problem","(a)",null,"(b)",null,null,"(c.)",null,"(d)"]
[null,null,"Sub span","(a.)","(b.1)","(b.2)","(b.3)","(b.4)","(c.1)","(c.2)","(d.)"]
[null,null,"Start",0,{"$f":"D84","v":0},{"$f":"E106","v":10},{"$f":"F106","v":20},{"$f":"G106","v":30},{"$f":"C84","v":0},{"$f":"I106","v":20},{"$f":"C84","v":0}]
[null,null,"End",0,{"$f":"C88","v":10},{"$f":"C92","v":20},{"$f":"C96","v":30},{"$f":"C100","v":40},{"$f":"C92","v":20},{"$f":"C100","v":40},{"$f":"C100","v":40}]
[null,null,"Laterally unsupported length:",{"$f":"D106-D105","v":0},{"$f":"E106-E105","v":10},10,10,10,20,20,40]
[]
[null,null,"Moment Modifier, Cb"]
[null,null,"  Mmax",0,{"$f":"+D88","v":5},{"$f":"D92","v":10},{"$f":"F110","v":10},{"$f":"E110","v":5},{"$f":"D92","v":10},{"$f":"I110","v":10},{"$f":"D92","v":10},"ft-k"]
[null,null,"  MA",{"$f":"+D110","v":0},{"$f":"+D85","v":1.25},{"$f":"D89","v":6.25},{"$f":"F111","v":6.25},{"$f":"E111","v":1.25},{"$f":"D86","v":2.5},{"$f":"I111","v":2.5},{"$f":"D88","v":5},"ft-k"]
[null,null,"  MB",{"$f":"+D110","v":0},{"$f":"+D86","v":2.5},{"$f":"D90","v":7.5},{"$f":"F112","v":7.5},{"$f":"E112","v":2.5},{"$f":"D88","v":5},{"$f":"I112","v":5},{"$f":"D92","v":10},"ft-k"]
[null,null,"  MC",{"$f":"+D110","v":0},{"$f":"+D87","v":3.75},{"$f":"D91","v":8.75},{"$f":"F113","v":8.75},{"$f":"E113","v":3.75},{"$f":"D90","v":7.5},{"$f":"I113","v":7.5},{"$f":"D96","v":5},"ft-k"]
[null,null,"Cb",1,{"$f":"12.5*E110/(2.5*E110+3*E111+4*E112+3*E113)","v":1.6666666666666667},{"$f":"12.5*F110/(2.5*F110+3*F111+4*F112+3*F113)","v":1.25},1.25,1.6666666666666667,1.6666666666666667,1.6666666666666667,1.3157894736842106]
[]
[null,null,"Lateral Torsional Buckling"]
[null,null,"  Lb",{"$f":"+C26","v":0},{"$f":"E107","v":10},{"$f":"F107","v":10},10,10,20,20,40,"ft"]
[null,null,"  Lp",{"$f":"1.76*G17*SQRT(29000/$C11)/12","v":4.3092853132638025},{"$f":"1.76*$G17*SQRT(29000/$C11)/12","v":4.3092853132638025},4.3092853132638025,4.3092853132638025,4.3092853132638025,4.3092853132638025,4.3092853132638025,4.3092853132638025,"ft"]
[null,null,"  Mr",{"$f":"0.7*C11*G14/12","v":168},{"$f":"0.7*$C11*$G14/12","v":168},168,168,168,168,168,168,"ft-k"]
[null,null,"  Lr",{"$f":"1.95*J8*29000/(0.7*$C11)*SQRT(G18*I78/G14/J9)*SQRT(1+SQRT(1+6.76*(0.7*$C11*G14*J9/29000/G18/I78)^2))/12","v":12.380287791073298},{"$f":"1.95*$J8*29000/(0.7*$C11)*SQRT($G18*$I78/$G14/$J9)*SQRT(1+SQRT(1+6.76*(0.7*$C11*$G14*$J9/29000/$G18/$I78)^2))/12","v":12.380287791073298},12.380287791073298,12.380287791073298,12.380287791073298,12.380287791073298,12.380287791073298,12.380287791073298,"ft"]
[null,null,"  Mn w/o Cb",{"$f":"IF(D117<=D118,$D$73,MIN($D$73,IF(D117<=D120,($D$73-($D$73-D119)*(D117-D118)/(D120-D118)),(PI()^2)*29000/(D117*12/$J8)^2*SQRT(1+0.078*$G18*$I78/$G14/$J9*(D117*12/$J8)^2))))","v":277.08333333333331},200.17069097138753,200.17069097138753,200.17069097138753,200.17069097138753,16.098266472240304,16.098266472240304,6.3599940847658978,"ft-k"]
[null,null,"  Mn w/ Cb",{"$f":"MIN($D73,D121*D114)","v":277.08333333333331},277.08333333333331,250.21336371423442,250.21336371423442,277.08333333333331,26.830444120400507,26.830444120400507,8.3684132694288138,"ft-k"]
[null,null,"  Equation",{"$f":"IF(D117<=D118,\"F2-1\",IF(D117<=D120,\"F2-2\",\"F2-3\"))","v":"F2-1"},{"$f":"IF(E117<=E118,\"F2-1\",IF(E117<=E120,\"F2-2\",\"F2-3\"))","v":"F2-2"},{"$f":"IF(F117<=F118,\"F2-1\",IF(F117<=F120,\"F2-2\",\"F2-3\"))","v":"F2-2"},"F2-2","F2-2","F2-3","F2-3","F2-3"]
[]
[null,"Controlling, Mn"]
[null,null,"  Mn",{"$f":"MIN($D73,D122,$G76)","v":277.08333333333331},277.08333333333331,250.21336371423442,250.21336371423442,277.08333333333331,26.830444120400507,26.830444120400507,8.3684132694288138,"ft-k"]
[]
[]
["part (a)","Controlling Mn",null,{"$f":"D126","v":277.08333333333331},"ft-k"]
[]
[null,"LRFD:","fMn",{"$f":"D129*$D14","v":249.375},"ft-k",null,"ASD:","Mn / W",{"$f":"D129/$D15","v":165.91816367265469},"ft-k"]
[null,null,"Pu,max",{"$f":"4*D131/$C10","v":24.9375},"k",null,null,"Pa,max",{"$f":"4*I131/$C10","v":16.591816367265469},"k"]
[null,null,"Ps,eq",{"$f":"D132/G49","v":19.6875},"k",null,null,"Ps,eq",{"$f":"I132/J49","v":19.910179640718564},"k"]
[]
[null,null,"Moment diagrams"]
[null,null,"X","Mu","fMn",null,"Note that the moment capacity is constant for this problem"]
[null,null,"(ft)","(ft-k)","(ft-k)"]
[null,null,{"$f":"C84","v":0},{"$f":"D$132*D84","v":0},{"$f":"D131","v":249.375}]
[null,null,2.5,31.171875,{"$f":"E138","v":249.375}]
[null,null,5,62.34375,{"$f":"E139","v":249.375}]
[null,null,7.5,93.515625,249.375]
[null,null,10,124.6875,249.375]
[null,null,12.5,155.859375,249.375]
[null,null,15,187.03125,249.375]
[null,null,17.5,218.203125,249.375]
[null,null,20,249.375,249.375]
[null,null,22.5,218.203125,249.375]
[null,null,25,187.03125,249.375]
[null,null,27.5,155.859375,249.375]
[null,null,30,124.6875,249.375]
[null,null,32.5,93.515625,249.375]
[null,null,35,62.34375,249.375]
[null,null,37.5,31.171875,249.375]
[null,null,40,0,249.375]
[]
["part (b)","Controlling Mn",null,{"$f":"MIN(F126:G126)","v":250.21336371423442},"ft-k"]
[]
[null,"LRFD:","fMn",{"$f":"D156*$D$14","v":225.19202734281097},"ft-k",null,"ASD:","Mn / W",{"$f":"D156/$D$15","v":149.82836150552959},"ft-k"]
[null,null,"Pu,max",{"$f":"4*D158/$C$10","v":22.519202734281098},"k",null,null,"Pa,max",{"$f":"4*I158/$C$10","v":14.982836150552959},"k"]
[null,null,"Ps,eq",{"$f":"D159/G$49","v":17.778317948116658},"k",null,null,"Ps,eq",{"$f":"I159/J$49","v":17.979403380663552},"k"]
[]
[null,null,"Moment diagrams"]
[null,null,"X","Mu","fMn",null,"Notice the variable moment capacity.  Why is this?"]
[null,null,"(ft)","(ft-k)","(ft-k)"]
[null,null,{"$f":"C84","v":0},{"$f":"D$159*D84","v":0},{"$f":"E126*D$14","v":249.375}]
[null,null,{"$f":"C85","v":2.5},{"$f":"D$159*D85","v":28.149003417851372},{"$f":"E165","v":249.375}]
[null,null,{"$f":"C86","v":5},{"$f":"D$159*D86","v":56.298006835702743},{"$f":"E166","v":249.375}]
[null,null,{"$f":"C87","v":7.5},{"$f":"D$159*D87","v":84.447010253554112},{"$f":"E167","v":249.375}]
[null,null,{"$f":"C88","v":10},{"$f":"D$159*D88","v":112.59601367140549},249.375]
[null,null,{"$f":"C169","v":10},{"$f":"D169","v":112.59601367140549},{"$f":"D158","v":225.19202734281097}]
[null,null,{"$f":"C89","v":12.5},{"$f":"D$159*D89","v":140.74501708925686},{"$f":"E170","v":225.19202734281097}]
[null,null,15,168.89402050710822,225.19202734281097]
[null,null,17.5,197.04302392495961,225.19202734281097]
[null,null,20,225.19202734281097,225.19202734281097]
[null,null,22.5,197.04302392495961,225.19202734281097]
[null,null,25,168.89402050710822,225.19202734281097]
[null,null,27.5,140.74501708925686,225.19202734281097]
[null,null,30,112.59601367140549,225.19202734281097]
[null,null,{"$f":"C178","v":30},{"$f":"D178","v":112.59601367140549},{"$f":"E169","v":249.375}]
[null,null,{"$f":"C97","v":32.5},{"$f":"D$159*D97","v":84.447010253554112},{"$f":"E179","v":249.375}]
[null,null,{"$f":"C98","v":35},{"$f":"D$159*D98","v":56.298006835702743},249.375]
[null,null,{"$f":"C99","v":37.5},{"$f":"D$159*D99","v":28.149003417851372},249.375]
[null,null,{"$f":"C100","v":40},{"$f":"D$159*D100","v":0},249.375]
[]
["part (c)","Controlling Mn",null,{"$f":"I126","v":26.830444120400507},"ft-k"]
[]
[null,"LRFD:","fMn",{"$f":"D185*$D$14","v":24.147399708360457},"ft-k",null,"ASD:","Mn / W",{"$f":"D185/D$15","v":16.06613420383264},"ft-k"]
[null,null,"Pu,max",{"$f":"4*D187/$C100","v":2.4147399708360457},"k",null,null,"Pa,max",{"$f":"4*I187/$C100","v":1.606613420383264},"k"]
[null,null,"Ps,eq",{"$f":"D188/G$49","v":1.906373661186352},"k",null,null,"Ps,eq",{"$f":"I188/J$49","v":1.927936104459917},"k"]
[]
["part (c)","Controlling Mn",null,{"$f":"K126","v":8.3684132694288138},"ft-k"]
[]
[null,"LRFD:","fMn",{"$f":"D191*$D$14","v":7.5315719424859324},"ft-k",null,"ASD:","Mn / W",{"$f":"D191/D$15","v":5.0110259098376133},"ft-k"]
[null,null,"Pu,max",{"$f":"4*D193/$C$10","v":0.75315719424859329},"k",null,null,"Pa,max",{"$f":"4*I193/$C$10","v":0.50110259098376131},"k"]
[null,null,"Ps,eq",{"$f":"D194/G$49","v":0.5945977849331},"k",null,null,"Ps,eq",{"$f":"I194/J$49","v":0.60132310918051357},"k"]

{"sheet":"Example 8.2","index":1,"n_rows":135,"n_cols":12,"rows_kept":135,"cut":false,"hidden":false,"merged":[]}
["A Beginners Guide to the Steel Construction Manual, 16th Edition",null,null,null,null,null,null,"last modified:  30 May 2023"]
["Example 8.2",null,null,null,null,null,null,"by:  TBQ"]
[]
[]
[]
[]
[]
[null,"Section","W18X35",null,null,"d",{"$f":"VLOOKUP(C8,StlSects,6)","v":17.7},"in","rts",{"$f":"SQRT(SQRT(G16*G19)/G14)","v":1.514215992926673},"in"]
[null,"Steel","A992",null,null,"tw",{"$f":"VLOOKUP(C8,StlSects,12)","v":0.3},"in","ho",{"$f":"+G8-G10","v":17.274999999999999},"in"]
[null,"Span",40,"ft",null,"tf",{"$f":"VLOOKUP(C8,StlSects,13)","v":0.42499999999999999},"in","Aw",{"$f":"+G8*G9","v":5.31},"in2"]
[null,"Fy",{"$f":"VLOOKUP(C9,StlProps,2)","v":50},"ksi",null,"bf/2tf",{"$f":"VLOOKUP(C8,StlSects,25)","v":7.06}]
[null,null,null,null,null,"h/tw",{"$f":"VLOOKUP(C8,StlSects,27)","v":53.5}]
[null,null,"Shear","Flexure",null,"Zx",{"$f":"VLOOKUP(C8,StlSects,31)","v":66.5},"in3"]
[null,"f",1,0.9,null,"Sx",{"$f":"VLOOKUP(C8,StlSects,32)","v":57.6},"in3"]
[null,"W",1.5,1.67,null,"Ix",{"$f":"VLOOKUP(C8,StlSects,30)","v":510},"in4"]
[null,null,null,null,null,"Iy",{"$f":"VLOOKUP(C8,StlSects,34)","v":15.3},"in4"]
[null,null,null,null,null,"ry",{"$f":"VLOOKUP(C8,StlSects,37)","v":1.22},"in "]
[null,null,null,null,null,"J",{"$f":"VLOOKUP(C8,StlSects,39)","v":0.50600000000000001},"in4"]
[null,null,null,null,null,"Cw",{"$f":"VLOOKUP(C8,StlSects,40)","v":1140}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Solution:"]
[]
[null,"Results Summary"]
[]
[null,"Table of ws,eq (kips/ft)"]
[null,null,"Flexure",null,"Shear",null,"Deflection",null,"Controlling",null,"Controlling Limit State"]
[null,"part","LRFD","ASD","LRFD","ASD","TL","LL Only","LRFD","ASD","LRFD","ASD"]
[null,"a",{"$f":"+D130","v":0.984375},{"$f":"+D135","v":0.99550898203592819},{"$f":"+D60","v":16.36578947368421},{"$f":"+I60","v":16.584},{"$f":"+C69","v":0.61625000000000008},{"$f":"+I69","v":0.68472222222222223},{"$f":"MIN(C36,E36,G36,H36)","v":0.61625000000000008},{"$f":"MIN(D36,F36,G36,H36)","v":0.61625000000000008},{"$f":"IF(I36=C36,\"Flexure\",IF(I36=E36,\"Shear\",IF(I36=G36,\"TL Defl\",\"LL Defl\")))","v":"TL Defl"},{"$f":"IF(J36=D36,\"Flexure\",IF(J36=F36,\"Shear\",IF(J36=G36,\"TL Defl\",\"LL Defl\")))","v":"TL Defl"}]
[null,"b",{"$f":"+F130","v":0.7545174725991155},{"$f":"+F135","v":0.7630516023623789},{"$f":"+E36","v":16.36578947368421},{"$f":"+F36","v":16.584},{"$f":"+G36","v":0.61625000000000008},{"$f":"+H36","v":0.68472222222222223},{"$f":"MIN(C37,E37,G37,H37)","v":0.61625000000000008},{"$f":"MIN(D37,F37,G37,H37)","v":0.61625000000000008},{"$f":"IF(I37=C37,\"Flexure\",IF(I37=E37,\"Shear\",IF(I37=G37,\"TL Defl\",\"LL Defl\")))","v":"TL Defl"},{"$f":"IF(J37=D37,\"Flexure\",IF(J37=F37,\"Shear\",IF(J37=G37,\"TL Defl\",\"LL Defl\")))","v":"TL Defl"}]
[null,"c",{"$f":"+I130","v":7.4274298487779958E-2},{"$f":"+I135","v":7.5114393680256519E-2},{"$f":"+E37","v":16.36578947368421},16.584,0.61625000000000008,0.68472222222222223,{"$f":"MIN(C38,E38,G38,H38)","v":7.4274298487779958E-2},{"$f":"MIN(D38,F38,G38,H38)","v":7.5114393680256519E-2},{"$f":"IF(I38=C38,\"Flexure\",IF(I38=E38,\"Shear\",IF(I38=G38,\"TL Defl\",\"LL Defl\")))","v":"Flexure"},{"$f":"IF(J38=D38,\"Flexure\",IF(J38=F38,\"Shear\",IF(J38=G38,\"TL Defl\",\"LL Defl\")))","v":"Flexure"}]
[null,"d",{"$f":"+K130","v":2.5675813440292954E-2},{"$f":"+K135","v":2.596622516915854E-2},16.36578947368421,16.584,0.61625000000000008,0.68472222222222223,{"$f":"MIN(C39,E39,G39,H39)","v":2.5675813440292954E-2},{"$f":"MIN(D39,F39,G39,H39)","v":2.596622516915854E-2},{"$f":"IF(I39=C39,\"Flexure\",IF(I39=E39,\"Shear\",IF(I39=G39,\"TL Defl\",\"LL Defl\")))","v":"Flexure"},{"$f":"IF(J39=D39,\"Flexure\",IF(J39=F39,\"Shear\",IF(J39=G39,\"TL Defl\",\"LL Defl\")))","v":"Flexure"}]
[]
[null,"Compute the Composite Load Factors:"]
[]
[null,null,"D",{"$f":"1/3","v":0.33333333333333331},null,"LRFD",null,null,"ASD"]
[null,null,"L",{"$f":"+D43","v":0.33333333333333331},null,"LC-1",{"$f":"(1.4*D43)","v":0.46666666666666662},null,"LC-1",{"$f":"1*D43","v":0.33333333333333331}]
[null,null,"S",{"$f":"D44","v":0.33333333333333331},null,"LC-2",{"$f":"(1.2*D43+1.6*D44+0.5*D45)","v":1.1000000000000001},null,"LC-2",{"$f":"1*D43+1*D44","v":0.66666666666666663}]
[null,null,null,null,null,"LC-3",{"$f":"(1.2*D43+1.6*D45+D44)","v":1.2666666666666666},null,"LC-3",{"$f":"1*D43+1*D45","v":0.66666666666666663}]
[null,null,null,null,null,"LC-4",{"$f":"1.2*D43+D44+0.5*D45","v":0.89999999999999991},null,"LC-4",{"$f":"1*D43+0.75*(D44+D45)","v":0.83333333333333326}]
[null,null,null,null,null,"Controlling",{"$f":"MAX(G44:G47)","v":1.2666666666666666},null,"Controlling",{"$f":"MAX(J44:J47)","v":0.83333333333333326}]
[]
[null,"The only limit state that varies with laterally unsupported length is LTB.  This means that for all parts of the problem, shear"]
[null,"strength, flexural plastic strength, and FLB are the same.  So… compute those first."]
[]
[null,"Shear Strength"]
[null,null,"h/tw",{"$f":"+G12","v":53.5},null,"< 2.24*sqrt(E/Fy)",{"$f":"2.24*SQRT(29000/C11)","v":53.946343712989488}]
[null,null,"Cv1",{"$f":"IF(G11<=G54,1,\"Use G2.19b)\")","v":1}]
[null,null,"Vn",{"$f":"0.6*C10*J9*D55","v":414.59999999999997},"kips"]
[]
[null,"LRFD:","fVn",{"$f":"D56*C14","v":414.59999999999997},"ft-k",null,"ASD:","Vn / W",{"$f":"D56/C15","v":276.39999999999998},"ft-k"]
[null,null,"wu,max",{"$f":"2*D58/C10","v":20.729999999999997},"klf",null,null,"wu,max",{"$f":"2*I58/C10","v":13.819999999999999},"klf"]
[null,null,"ws,eq",{"$f":"D59/G48","v":16.36578947368421},"klf",null,null,"ws,eq",{"$f":"I59/J48","v":16.584},"klf"]
[null,null,"Note:  The shear limit state does not control the problem!  See the Flexural Calculations"]
[]
[null,"Deflection Limit States"]
[]
[null,"Total Load Deflection:  Consider ASD LC-4",null,null,null,null,null,"LL only Deflection:  Consider ASD LC-4 w/ D=0"]
[null,"CLF",{"$f":"+J47","v":0.83333333333333326},null,null,null,null,"CLF",{"$f":"0.75*(D44+D45)","v":0.5}]
[null,"Limit:  = L/",240,"=",{"$f":"+C10/C67*12","v":2},"in",null,"Limit:  = L/",360,"=",{"$f":"+C10/I67*12","v":1.3333333333333333},"in"]
[null,"wmax = ",{"$f":"E67*384*29000*G15/5/1728/(C10)^4","v":0.51354166666666667},"klf",null,null,null,"wmax = ",{"$f":"K67*384*29000*G15/5/1728/(C10)^4","v":0.34236111111111112},"klf"]
[null,"ws,eq",{"$f":"C68/C66","v":0.61625000000000008},"klf",null,null,null,"ws,eq",{"$f":"I68/I66","v":0.68472222222222223},"klf"]
[]
[null,"Flexural Plastic Strength",null,null,null,"Flange Local Buckling"]
[null,"  Mp = FyZx =",null,{"$f":"+ $C11*$G13/12","v":277.08333333333331},"ft-k","  lp",{"$f":"0.38*SQRT(29000/$C11)","v":9.1516118798821449}]
[null,null,null,null,null,"  lr",{"$f":"1*SQRT(29000/$C11)","v":24.083189157584592}]
[null,null,null,null,null,"  class",{"$f":"IF(G11<=G72,\"Compact\",IF(G11<=G73,\"Non C.\",\"Slend.\"))","v":"Compact"}]
[null,null,null,null,null,"  Mn",{"$f":"IF(G11<=G72,D72,\"Compute\")","v":277.08333333333331},"ft-k"]
[]
[null,"Lateral Torsional Buckling",null,null,null,null,null,"c",1,"(See SCM F2, eq. F2-8)"]
[]
[null,"Compute the Moment Diagram points needed to compute Cb"]
[]
[null,null,"X","M"]
[null,null,"(ft)","(ft-k)"]
[null,"Support",0,{"$f":"(C83-C83)*0.5","v":0},"P"]
[null,null,{"$f":"C10/16","v":2.5},{"$f":"C99/2*(C84-C83)-((C84-C83)^2)/2","v":46.875},"P"]
[null,null,{"$f":"C84+C$84","v":5},{"$f":"C99/2*(C85-C83)-((C85-C83)^2)/2","v":87.5},"P"]
[null,null,{"$f":"C85+C$84","v":7.5},{"$f":"C99/2*(C86-C83)-((C86-C83)^2)/2","v":121.875},"P"]
[null,"quarter pnt",10,{"$f":"C99/2*(C87-C83)-((C87-C83)^2)/2","v":150},"P"]
[null,null,12.5,{"$f":"C99/2*(C88-C83)-((C88-C83)^2)/2","v":171.875},"P"]
[null,null,15,{"$f":"C99/2*(C89-C83)-((C89-C83)^2)/2","v":187.5},"P"]
[null,null,17.5,{"$f":"C99/2*(C90-C83)-((C90-C83)^2)/2","v":196.875},"P"]
[null,"mid pnt",20,{"$f":"C99/2*(C91-C83)-((C91-C83)^2)/2","v":200},"P"]
[null,null,22.5,{"$f":"C99/2*(C92-C83)-((C92-C83)^2)/2","v":196.875},"P"]
[null,null,25,{"$f":"C99/2*(C93-C83)-((C93-C83)^2)/2","v":187.5},"P"]
[null,null,27.5,{"$f":"C99/2*(C94-C83)-((C94-C83)^2)/2","v":171.875},"P"]
[null,"quarter pnt",30,{"$f":"C99/2*(C95-C83)-((C95-C83)^2)/2","v":150},"P"]
[null,null,32.5,{"$f":"C99/2*(C96-C83)-((C96-C83)^2)/2","v":121.875},"P"]
[null,null,35,{"$f":"C99/2*(C97-C83)-((C97-C83)^2)/2","v":87.5},"P"]
[null,null,37.5,{"$f":"C99/2*(C98-C83)-((C98-C83)^2)/2","v":46.875},"P"]
[null,"Support",40,{"$f":"C99/2*(C99-C83)-((C99-C83)^2)/2","v":0},"P"]
[]
[]
[null,null,"Problem","(a)",null,"(b)",null,null,"(c.)",null,"(d)"]
[null,null,"Sub span","(a.)","(b.1)","(b.2)","(b.3)","(b.4)","(c.1)","(c.2)","(d.)"]
[null,null,"Start",0,{"$f":"D83","v":0},{"$f":"E105","v":10},{"$f":"F105","v":20},{"$f":"G105","v":30},{"$f":"C83","v":0},{"$f":"I105","v":20},{"$f":"C83","v":0}]
[null,null,"End",0,{"$f":"C87","v":10},{"$f":"C91","v":20},{"$f":"C95","v":30},{"$f":"C99","v":40},{"$f":"C91","v":20},{"$f":"C99","v":40},{"$f":"C99","v":40}]
[null,null,"Laterally unsupported length:",{"$f":"D105-D104","v":0},{"$f":"E105-E104","v":10},10,10,10,20,20,40]
[]
[null,null,"Moment Modifier, Cb"]
[null,null,"  Mmax",0,{"$f":"+D87","v":150},{"$f":"D91","v":200},{"$f":"F109","v":200},{"$f":"E109","v":150},{"$f":"D91","v":200},{"$f":"I109","v":200},{"$f":"D91","v":200},"ft-k"]
[null,null,"  MA",{"$f":"+D109","v":0},{"$f":"+D84","v":46.875},{"$f":"D88","v":171.875},{"$f":"F110","v":171.875},{"$f":"E110","v":46.875},{"$f":"D85","v":87.5},{"$f":"I110","v":87.5},{"$f":"D87","v":150},"ft-k"]
[null,null,"  MB",{"$f":"+D109","v":0},{"$f":"+D85","v":87.5},{"$f":"D89","v":187.5},{"$f":"F111","v":187.5},{"$f":"E111","v":87.5},{"$f":"D87","v":150},{"$f":"I111","v":150},{"$f":"D91","v":200},"ft-k"]
[null,null,"  MC",{"$f":"+D109","v":0},{"$f":"+D86","v":121.875},{"$f":"D90","v":196.875},{"$f":"F112","v":196.875},{"$f":"E112","v":121.875},{"$f":"D89","v":187.5},{"$f":"I112","v":187.5},{"$f":"D95","v":150},"ft-k"]
[null,null,"Cb",1,{"$f":"12.5*E109/(2.5*E109+3*E110+4*E111+3*E112)","v":1.5228426395939085},{"$f":"12.5*F109/(2.5*F109+3*F110+4*F111+3*F112)","v":1.0610079575596818},1.0610079575596818,1.5228426395939085,1.2987012987012987,1.2987012987012987,1.1363636363636365]
[]
[null,null,"Lateral Torsional Buckling"]
[null,null,"  Lb",{"$f":"+C26","v":0},{"$f":"E106","v":10},{"$f":"F106","v":10},10,10,20,20,40,"ft"]
[null,null,"  Lp",{"$f":"1.76*G17*SQRT(29000/$C11)/12","v":4.3092853132638025},{"$f":"1.76*$G17*SQRT(29000/$C11)/12","v":4.3092853132638025},4.3092853132638025,4.3092853132638025,4.3092853132638025,4.3092853132638025,4.3092853132638025,4.3092853132638025,"ft"]
[null,null,"  Mr",{"$f":"0.7*C11*G14/12","v":168},{"$f":"0.7*$C11*$G14/12","v":168},168,168,168,168,168,168,"ft-k"]
[null,null,"  Lr",{"$f":"1.95*J8*29000/(0.7*$C11)*SQRT(G18*I77/G14/J9)*SQRT(1+SQRT(1+6.76*(0.7*$C11*G14*J9/29000/G18/I77)^2))/12","v":12.380287791073298},{"$f":"1.95*$J8*29000/(0.7*$C11)*SQRT($G18*$I77/$G14/$J9)*SQRT(1+SQRT(1+6.76*(0.7*$C11*$G14*$J9/29000/$G18/$I77)^2))/12","v":12.380287791073298},12.380287791073298,12.380287791073298,12.380287791073298,12.380287791073298,12.380287791073298,12.380287791073298,"ft"]
[null,null,"  Mn w/o Cb",{"$f":"IF(D116<=D117,$D$72,MIN($D$72,IF(D116<=D119,($D$72-($D$72-D118)*(D116-D117)/(D119-D117)),(PI()^2)*29000/(D116*12/$J8)^2*SQRT(1+0.078*$G18*$I77/$G14/$J9*(D116*12/$J8)^2))))","v":277.08333333333331},200.17069097138753,200.17069097138753,200.17069097138753,200.17069097138753,16.098266472240304,16.098266472240304,6.3599940847658978,"ft-k"]
[null,null,"  Mn w/ Cb",{"$f":"MIN($D72,D120*D113)","v":277.08333333333331},277.08333333333331,212.38269599086212,212.38269599086212,277.08333333333331,20.906839574338058,20.906839574338058,7.2272660054157933,"ft-k"]
[null,null,"  Equation",{"$f":"IF(D116<=D117,\"F2-1\",IF(D116<=D119,\"F2-2\",\"F2-3\"))","v":"F2-1"},{"$f":"IF(E116<=E117,\"F2-1\",IF(E116<=E119,\"F2-2\",\"F2-3\"))","v":"F2-2"},{"$f":"IF(F116<=F117,\"F2-1\",IF(F116<=F119,\"F2-2\",\"F2-3\"))","v":"F2-2"},"F2-2","F2-2","F2-3","F2-3","F2-3"]
[]
[null,"Controlling, Mn"]
[null,null,"  Mn",{"$f":"MIN($D72,D121,$G75)","v":277.08333333333331},277.08333333333331,212.38269599086212,212.38269599086212,277.08333333333331,20.906839574338058,20.906839574338058,7.2272660054157933,"ft-k"]
[]
[null,"Compute Load:"]
[null,"LRFD:","fMn",{"$f":"D125*$D14","v":249.375},null,{"$f":"F125*$D14","v":191.14442639177591},null,null,{"$f":"I125*$D14","v":18.816155616904254},null,{"$f":"K125*$D14","v":6.5045394048742144},"ft-k"]
[null,null,"wu,max",{"$f":"8*D128/$C$10^2","v":1.246875},null,{"$f":"8*F128/$C$10^2","v":0.95572213195887956},null,null,{"$f":"8*I128/$C$10^2","v":9.4080778084521269E-2},null,{"$f":"8*K128/$C$10^2","v":3.2522697024371071E-2},"k/ft"]
[null,null,"ws,eq",{"$f":"D129/$G48","v":0.984375},null,{"$f":"F129/$G48","v":0.7545174725991155},null,null,{"$f":"I129/$G48","v":7.4274298487779958E-2},null,{"$f":"K129/$G48","v":2.5675813440292954E-2},"k/ft"]
[]
[]
[null,"ASD:","Mn / W",{"$f":"D125/$D15","v":165.91816367265469},null,{"$f":"F125/$D15","v":127.17526706039648},null,null,{"$f":"I125/$D15","v":12.519065613376084},null,{"$f":"K125/$D15","v":4.3277041948597565},"ft-k"]
[null,null,"Pa,max",{"$f":"8*D133/$C$10^2","v":0.82959081836327342},null,{"$f":"8*F133/$C$10^2","v":0.6358763353019824},null,null,{"$f":"8*I133/$C$10^2","v":6.2595328066880424E-2},null,{"$f":"8*K133/$C$10^2","v":2.1638520974298782E-2},"k/ft"]
[null,null,"ws,eq",{"$f":"D134/$J48","v":0.99550898203592819},null,{"$f":"F134/$J48","v":0.7630516023623789},null,null,{"$f":"I134/$J48","v":7.5114393680256519E-2},null,{"$f":"K134/$J48","v":2.596622516915854E-2},"k/ft"]

{"sheet":"Example 8.3","index":2,"n_rows":159,"n_cols":16,"rows_kept":159,"cut":false,"hidden":false,"merged":[]}
["A Beginners Guide to the Steel Construction Manual, 16th Edition",null,null,null,null,null,null,"last modified:  30 May 2023"]
["Example 8.3",null,null,null,null,null,null,"by:  TBQ"]
[]
[]
[]
[]
[]
[null,null,"Steel","A992",null,"D",75,"psf"]
[null,null,"Span",20,"ft","L",50,"psf"]
[null,null,"Fy",{"$f":"VLOOKUP(D8,StlProps,2)","v":50},"ksi"]
[]
[]
[]
[]
[]
[]
["Solution:"]
[]
[null,"Solution Summary",null,null,null,"% Capacity Used"]
[null,null,null,"Size","Spacing","Shear","Flexure","TL D","LL D","Controlling Limit State"]
[null,null,null,null,"(ft)"]
[null,null,"LRFD",{"$f":"+D58","v":"M12.5X12.4"},{"$f":"+D94","v":5.75},{"$f":"+E22/D73","v":0.21487310059988163},{"$f":"+E22/D85","v":0.78989898989898977},{"$f":"+E22/D89","v":0.99915048075066604},{"$f":"+E22/D90","v":0.59949028845039964},{"$f":"IF(F22=MAX(F22:I22),\"Shear\",IF(G22=MAX(F22:I22),\"Flexure\",IF(H22=MAX(F22:I22),\"TL Defl\",\"LL Only Defl\")))","v":"TL Defl"}]
[null,null,"ASD",{"$f":"+E58","v":"M12.5X12.4"},{"$f":"+E99","v":5.75},{"$f":"+E23/E74","v":0.23699239036751651},{"$f":"+E23/E86","v":0.87295454545454543},{"$f":"+E23/E89","v":0.99915048075066604},{"$f":"+E23/E90","v":0.59949028845039964},{"$f":"IF(F23=MAX(F23:I23),\"Shear\",IF(G23=MAX(F23:I23),\"Flexure\",IF(H23=MAX(F23:I23),\"TL Defl\",\"LL Only Defl\")))","v":"TL Defl"}]
[]
[null,"Compute the loads in terms of plf/(ft width of floor system)"]
[]
[null,"D",{"$f":"G8","v":75},"plf/ftw",null,"LRFD",null,null,"ASD"]
[null,"L",{"$f":"G9","v":50},"plf/ftw",null,"LC-1",{"$f":"(1.4*C27)","v":105},"plf/ftw","LC-1",{"$f":"1*C27","v":75},"plf/ftw"]
[null,"S",0,"plf/ftw",null,"LC-2",{"$f":"(1.2*C27+1.6*C28+0.5*C29)","v":170},"plf/ftw","LC-2",{"$f":"1*C27+1*C28","v":125},"plf/ftw"]
[null,null,null,null,null,"LC-3",{"$f":"(1.2*C27+1.6*C29+C28)","v":140},"plf/ftw","LC-3",{"$f":"1*C27+1*C29","v":75},"plf/ftw"]
[null,null,null,null,null,"LC-4",{"$f":"1.2*C27+C28+0.5*C29","v":140},"plf/ftw","LC-4",{"$f":"1*C27+0.75*(C28+C29)","v":112.5},"plf/ftw"]
[null,null,null,null,null,"Controlling",{"$f":"MAX(G28:G31)","v":170},"plf/ftw","Controlling",{"$f":"MAX(J28:J31)","v":125},"plf/ftw"]
[]
[null,"Compute the Shear & Moment in terms of ft-lb/(ft width of floor system)"]
[]
[null,null,null,"LRFD",null,null,"ASD"]
[null,null,"Vu",{"$f":"+G32*D9/2","v":1700},"lb/ftw","Vu",{"$f":"+J32*D9/2","v":1250},"lb/ftw"]
[null,null,"f",1,null,"W",1.5]
[null,null,"req'd Vn",{"$f":"D37/D38/1000","v":1.7},"ft-k/ftw","req'd Vn",{"$f":"G37*G38/1000","v":1.875},"ft-k/ftw"]
[]
[null,null,"Mu",{"$f":"G32*(D9^2)/8","v":8500},"ft-lb/ftw","Ma",{"$f":"J32*(D9^2)/8","v":6250},"ft-lb/ftw"]
[null,null,"f",0.9,null,"W",1.67]
[null,null,"req'd Mn",{"$f":"D41/D42/1000","v":9.4444444444444429},"ft-k/ftw","req'd Mn",{"$f":"G41*G42/1000","v":10.4375},"ft-k/ftw"]
[]
[null,"Deflection Limits"]
[null,null,"TL defl <= L /",240,"=",{"$f":"+D9*12/D46","v":1},"in"]
[null,null,"spacing/Ix <=",null,{"$f":"384*29000000*F46/5/(C27+C28)/1728/(D9^4)","v":6.4444444444444443E-2},"(ft/in4)  <- solved Act D < Allow D for spacing/Ix, the two unknowns at this point)"]
[null,null,"LL defl <= L /",360,"=",{"$f":"+D9*12/D48","v":0.66666666666666663},"in"]
[null,null,"spacing/Ix <=",null,{"$f":"384*29000000*F48/5/(C28)/1728/(D9^4)","v":0.10740740740740741},"(ft/in4)  <- solved Act D < Allow D for spacing/Ix, the two unknowns at this point)"]
[]
[null,"The beam will have full lateral support of the compression flange from the floor system"]
[null,"so don't worry about LTB."]
[]
["Method 1:  The hunt & peck method… manually insert section sizes until you think that you have"]
[null,"found the best option."]
[]
[null,"Selection",null,"LRFD","ASD"]
[null,"Section",null,"M12.5X12.4","M12.5X12.4"]
[null,"wt/ft",null,{"$f":"VLOOKUP(D58,StlSects,4)","v":12.4},{"$f":"VLOOKUP(E58,StlSects,4)","v":12.4},"plf"]
[null,"d",null,{"$f":"VLOOKUP(D58,StlSects,6)","v":12.5},{"$f":"VLOOKUP(E58,StlSects,6)","v":12.5},"in "]
[null,"tw",null,{"$f":"VLOOKUP(D58,StlSects,12)","v":0.155},{"$f":"VLOOKUP(E58,StlSects,12)","v":0.155},"in"]
[null,"h/tw",null,{"$f":"VLOOKUP(D58,StlSects,27)","v":74.8},{"$f":"VLOOKUP(E58,StlSects,27)","v":74.8}]
[null,"Ix",null,{"$f":"VLOOKUP(D58,StlSects,30)","v":89.3},{"$f":"VLOOKUP(E58,StlSects,30)","v":89.3},"in4"]
[null,"Sx",null,{"$f":"VLOOKUP(D58,StlSects,32)","v":14.2},{"$f":"VLOOKUP(E58,StlSects,32)","v":14.2},"in3"]
[null,"Zx",null,{"$f":"VLOOKUP(D58,StlSects,31)","v":16.5},{"$f":"VLOOKUP(E58,StlSects,31)","v":16.5},"in3"]
[null,"bf/2tf",null,{"$f":"VLOOKUP(D58,StlSects,25)","v":8.2200000000000006},{"$f":"VLOOKUP(E58,StlSects,25)","v":8.2200000000000006}]
[null,"Shear Strength"]
[null,"kv",null,{"$f":"IF(D62<260,5,\"Need Stiffeners\")","v":5},{"$f":"IF(E62<260,5,\"Need Stiffeners\")","v":5}]
[null,"sqrt(kvE/Fy)",null,{"$f":"+SQRT(D68*29000/$D10)","v":53.851648071345039},{"$f":"+SQRT(E68*29000/$D10)","v":53.851648071345039}]
[null,"Cv1",null,{"$f":"IF(D62<=1.1*D69,1,IF(D62<=1.37*D69,1.1*D69/D62,1.51*29000*D68/$D10/(D62^2)))","v":0.78265749663988105},{"$f":"IF(E62<=1.1*E69,1,IF(E62<=1.37*E69,1.1*E69/E62,1.51*29000*E68/$D10/(E62^2)))","v":0.78265749663988105}]
[null,"Vn",null,{"$f":"0.6*D10*D60*D70*D61","v":45.491966992193085},{"$f":"0.6*$D10*E60*E70*E61","v":45.491966992193085},"kips"]
[null,"Max Spacing"]
[null,null,"LRFD",{"$f":"D71/$D39","v":26.759980583642992},{"$f":"E71/$D39","v":26.759980583642992},"ft "]
[null,null,"ASD",{"$f":"D71/$G39","v":24.262382395836312},{"$f":"E71/$G39","v":24.262382395836312},"ft "]
[null,"Flexural Strength"]
[null,"Flexural Plastic Strength"]
[null,"  Mp = FyZx =",null,{"$f":"+ $D10*$D65/12","v":68.75},{"$f":"+ $D10*$D65/12","v":68.75},"ft-k"]
[null,"Flange Local Buckling"]
[null,"  lp",null,{"$f":"0.38*SQRT(29000/$D10)","v":9.1516118798821449},{"$f":"0.38*SQRT(29000/$D10)","v":9.1516118798821449}]
[null,"  lr",null,{"$f":"1*SQRT(29000/$D10)","v":24.083189157584592},{"$f":"1*SQRT(29000/$D10)","v":24.083189157584592}]
[null,"  Mr = .7FySx =",null,{"$f":"0.7*D64*$D10/12","v":41.416666666666664},{"$f":"0.7*E64*$D10/12","v":41.416666666666664},"ft-k"]
[null,"  class",null,{"$f":"IF(D66<=D79,\"Compact\",IF(D66<=D80,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"IF(E66<=E79,\"Compact\",IF(E66<=E80,\"Non C.\",\"Slend.\"))","v":"Compact"}]
[null,"  Mn",null,{"$f":"MIN(D77-(D77-D81)*(D66-D79)/(D80-D79),D77)","v":68.75},{"$f":"MIN(E77-(E77-E81)*(E66-E79)/(E80-E79),E77)","v":68.75},"ft-k"]
[null,"Max Spacing"]
[null,null,"LRFD",{"$f":"D83/$D43","v":7.2794117647058831},{"$f":"E83/$D43","v":7.2794117647058831},"ft"]
[null,null,"ASD",{"$f":"D83/$G43","v":6.5868263473053892},{"$f":"E83/$G43","v":6.5868263473053892},"ft"]
[null,"Deflection Limits"]
[null,"Max Spacing"]
[null,null,"TL",{"$f":"+$E47*D63","v":5.7548888888888889},{"$f":"+$E47*E63","v":5.7548888888888889},"ft"]
[null,null,"LL Only",{"$f":"+$E49*D63","v":9.5914814814814822},{"$f":"+$E49*E63","v":9.5914814814814822},"ft"]
[null,"Controlling Spacings"]
[null,"LRFD"]
[null,null,"Spacing",{"$f":"MIN(D73,D85,D89,D90)","v":5.7548888888888889},{"$f":"MIN(E73,E85,E89,E90)","v":5.7548888888888889},"ft "]
[null,null,"Use:",{"$f":"INT(D93*4)/4","v":5.75},{"$f":"INT(E93*4)/4","v":5.75},"ft"]
[null,null,"wt/sqft",{"$f":"D59/D94","v":2.1565217391304348},{"$f":"E59/E94","v":2.1565217391304348},"psf"]
[]
[null,"ASD"]
[null,null,"Spacing",{"$f":"MIN(D74,D86,D89,D90)","v":5.7548888888888889},{"$f":"MIN(E74,E86,E89,E90)","v":5.7548888888888889},"ft"]
[null,null,"Use:",{"$f":"INT(D98*4)/4","v":5.75},{"$f":"INT(E98*4)/4","v":5.75},"ft"]
[null,null,"wt/sqft",{"$f":"D59/D99","v":2.1565217391304348},{"$f":"E59/E99","v":2.1565217391304348},"psf"]
[]
["Method 2:  The brute force approach.  From the AISC Shapes database, select ALL I shapes and their properties needed to compute Mn."]
[null,"On one line, compute Mn, FLB criteria, spacing, and wt/ft2.  Copy the formula down so that you do it for all sections.  Then sort the table"]
[null,"on the spacing column.  Delete all spacings less than 2 ft and more than 6 ft.  Resort the remaining table on wt/ft, then choose "]
[null,"your favorite section. "]
[]
[null,"All sections that meet the criteria:",null,null,null,null,null,null,null,null,"Flexure",null,null,null,"LRFD","ASD"]
[null,"Size","wt","d","tw","bf/2tf","h/tw","Ix","Zx","Sx","Mp","FLB","Mr","Mn","Spacing","Spacing"]
[null,"M12.5X12.4",{"$f":"VLOOKUP(B109,StlSects,4)","v":12.4},{"$f":"VLOOKUP(B109,StlSects,6)","v":12.5},{"$f":"VLOOKUP(B109,StlSects,12)","v":0.155},{"$f":"VLOOKUP(B109,StlSects,25)","v":8.2200000000000006},{"$f":"VLOOKUP(B109,StlSects,27)","v":74.8},{"$f":"VLOOKUP(B109,StlSects,30)","v":89.3},{"$f":"VLOOKUP(B109,StlSects,31)","v":16.5},{"$f":"VLOOKUP(B109,StlSects,32)","v":14.2},{"$f":"I109*D$10/12","v":68.75},{"$f":"IF(F109<=D$79,\"Compact\",IF(F109<=D$80,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"0.7*J109*D$10/12","v":41.416666666666664},{"$f":"MIN(K109-(K109-M109)*(F109-D$79)/(D$80-D$79),K109)","v":68.75},{"$f":"N109/D$43","v":7.2794117647058831},{"$f":"N109/G$43","v":6.5868263473053892}]
[null,"M12.5X11.6",11.6,12.5,0.155,8.2899999999999991,74.8,80.3,15,12.8,62.5,"Compact",37.333333333333329,62.5,6.6176470588235308,5.9880239520958085]
[null,"M12X10.8",10.8,12,0.16,7.3,69.2,66.7,13.2,11.1,55,"Compact",32.375,55,5.8235294117647065,5.2694610778443112]
[null,"W12X14",14,11.9,0.2,8.82,54.3,88.6,17.399999999999999,14.9,72.499999999999986,"Compact",43.458333333333336,72.499999999999986,7.6764705882352935,6.9461077844311365]
[null,"M12X11.8",11.8,12,0.17699999999999999,6.81,62.5,72.2,14.3,12,59.583333333333336,"Compact",34.999999999999993,59.583333333333336,6.3088235294117663,5.7085828343313372]
[null,"M12X10",10,12,0.14899999999999999,9.0299999999999994,74.7,61.7,12.2,10.3,50.833333333333336,"Compact",30.041666666666668,50.833333333333336,5.3823529411764719,4.8702594810379241]
[null,"W10X19",19,10.199999999999999,0.25,5.09,35.4,96.3,21.6,18.8,90,"Compact",54.833333333333336,90,9.529411764705884,8.6227544910179645]
[null,"W10X17",17,10.1,0.24,6.08,36.9,81.900000000000006,18.7,16.2,77.916666666666671,"Compact",47.249999999999993,77.916666666666671,8.2500000000000018,7.4650698602794412]
[null,"W10X15",15,10,0.23,7.41,38.5,68.900000000000006,16,13.8,66.666666666666671,"Compact",40.25,66.666666666666671,7.0588235294117663,6.3872255489021956]
[null,"M10X9",9,10,0.157,6.53,58.4,39,9.2200000000000006,7.79,38.416666666666671,"Compact",22.720833333333331,38.416666666666671,4.0676470588235309,3.6806387225548907]
[null,"W10X12",12,9.8699999999999992,0.19,9.43,46.6,53.8,12.6,10.9,52.5,"Non C.",31.791666666666668,52.113908572401826,5.5179432606072529,4.9929493243019714]
[null,"M10X7.5",7.5,10,0.13,7.77,71,33,7.77,6.6,32.375,"Compact",19.249999999999996,32.375,3.4279411764705889,3.1017964071856285]
[null,"M10X8",8,10,0.14099999999999999,7.39,65,34.6,8.1999999999999993,6.95,34.166666666666664,"Compact",20.270833333333332,34.166666666666664,3.6176470588235299,3.2734530938123751]
[null,"W8X21",21,8.2799999999999994,0.25,6.59,27.5,75.3,20.399999999999999,18.2,84.999999999999986,"Compact",53.083333333333321,84.999999999999986,9,8.1437125748502979]
[null,"W8X24",24,7.93,0.245,8.1199999999999992,25.9,82.7,23.1,20.9,96.25,"Compact",60.958333333333321,96.25,10.191176470588237,9.2215568862275443]
[null,"W8X18",18,8.14,0.23,7.95,29.9,61.9,17,15.2,70.833333333333329,"Compact",44.333333333333321,70.833333333333329,7.5000000000000009,6.7864271457085827]
[null,"W8X15",15,8.11,0.245,6.37,28.1,48,13.6,11.8,56.666666666666664,"Compact",34.416666666666664,56.666666666666664,6.0000000000000009,5.4291417165668658]
[null,"W8X13",13,7.99,0.23,7.84,29.9,39.6,11.4,9.91,47.5,"Compact",28.904166666666665,47.5,5.0294117647058831,4.5508982035928147]
[null,"S8X18.4",18.399999999999999,8,0.27100000000000002,4.71,22.9,57.5,16.5,14.4,68.75,"Compact",42,68.75,7.2794117647058831,6.5868263473053892]
[null,"S8X23",23,8,0.441,4.91,14.1,64.7,19.2,16.2,80,"Compact",47.249999999999993,80,8.4705882352941195,7.6646706586826348]
[null,"W6X25",25,6.38,0.32,6.68,15.5,53.4,18.899999999999999,16.7,78.749999999999986,"Compact",48.708333333333336,78.749999999999986,8.3382352941176467,7.5449101796407172]
[null,"W6X16",16,6.28,0.26,4.9800000000000004,19.100000000000001,32.1,11.7,10.199999999999999,48.75,"Compact",29.749999999999996,48.75,5.1617647058823541,4.6706586826347305]
[null,"W6X20",20,6.2,0.26,8.25,18.7,41.4,15,13.4,62.5,"Compact",39.083333333333329,62.5,6.6176470588235308,5.9880239520958085]
[]
[]
[null,"Table Continued"]
[null,null,"Shear",null,null,null,"LRFD","ASD","Deflection",null,"LRFD",null,null,"ASD"]
[null,"Size","kv","sqrt(kvE/Fy)","Cv1","Vn","Spacing","Spacing","TL Space","LL Space","Spacing","use","wt/ft2",null,"use","wt/ft2"]
[null,{"$f":"+B109","v":"M12.5X12.4"},{"$f":"IF(G109<260,5,\"Need Stiffeners\")","v":5},{"$f":"+SQRT(C137*29000/$D$10)","v":53.851648071345039},{"$f":"IF(G109<=1.1*D137,1,IF(G109<=1.37*D137,1.1*D137/G109,1.51*29000*C137/$D$10/(G109^2)))","v":0.78265749663988105},{"$f":"0.6*D$10*D109*E137*E109","v":45.491966992193085},{"$f":"+F137/D$39","v":26.759980583642992},{"$f":"+F137/G$39","v":24.262382395836312},{"$f":"+H109*E$47","v":5.7548888888888889},{"$f":"+H109*E$49","v":9.5914814814814822},{"$f":"MIN(O109,G137,I137,J137)","v":5.7548888888888889},{"$f":"INT(K137*4)/4","v":5.75},{"$f":"C109/L137","v":2.1565217391304348},{"$f":"MIN(P109,H137,I137,J137)","v":5.7548888888888889},{"$f":"INT(N137*4)/4","v":5.75},{"$f":"C109/O137","v":2.1565217391304348}]
[null,{"$f":"+B110","v":"M12.5X11.6"},5,53.851648071345039,0.78265749663988105,45.491966992193085,26.759980583642992,24.262382395836312,5.1748888888888889,8.6248148148148154,5.1748888888888889,5,2.3199999999999998,5.1748888888888889,5,2.3199999999999998]
[null,"M12X10.8",5,53.851648071345039,0.85602330749247901,49.306942511566795,29.004083830333411,26.297036006168959,4.2984444444444447,7.1640740740740743,4.2984444444444447,4.25,2.5411764705882356,4.2984444444444447,4.25,2.5411764705882356]
[null,"W12X14",5,53.851648071345039,1,71.400000000000006,42.000000000000007,38.080000000000005,5.7097777777777772,9.5162962962962965,5.7097777777777772,5.5,2.5454545454545454,5.7097777777777772,5.5,2.5454545454545454]
[null,"M12X11.8",5,53.851648071345039,0.94778900605567273,60.39311546586746,35.525362038745563,32.209661581795977,4.6528888888888886,7.7548148148148153,4.6528888888888886,4.5,2.6222222222222222,4.6528888888888886,4.5,2.6222222222222222]
[null,"M12X10",5,53.851648071345039,0.78475436776109342,42.09422428670505,24.761308403944149,22.450252952909359,3.9762222222222223,6.6270370370370371,3.9762222222222223,3.75,2.6666666666666665,3.9762222222222223,3.75,2.6666666666666665]
[null,"W10X19",5,53.851648071345039,1,76.5,45,40.799999999999997,6.2059999999999995,10.343333333333334,6.2059999999999995,6,3.1666666666666665,6.2059999999999995,6,3.1666666666666665]
[null,"W10X17",5,53.851648071345039,1,72.72,42.776470588235291,38.783999999999999,5.2780000000000005,8.7966666666666669,5.2780000000000005,5.25,3.2380952380952381,5.2780000000000005,5.25,3.2380952380952381]
[null,"W10X15",5,53.851648071345039,1,69,40.588235294117645,36.799999999999997,4.4402222222222223,7.4003703703703714,4.4402222222222223,4.25,3.5294117647058822,4.4402222222222223,4.25,3.5294117647058822]
[null,"M10X9",5,53.851648071345039,1,47.1,27.705882352941178,25.12,2.5133333333333332,4.1888888888888891,2.5133333333333332,2.5,3.6,2.5133333333333332,2.5,3.6]
[null,"W10X12",5,53.851648071345039,1,56.258999999999993,33.093529411764706,30.004799999999996,3.467111111111111,5.7785185185185179,3.467111111111111,3.25,3.6923076923076925,3.467111111111111,3.25,3.6923076923076925]
[null,"M10X7.5",5,53.851648071345039,0.83432130814759931,32.538531017756377,19.140312363386105,17.353883209470066,2.1266666666666665,3.5444444444444447,2.1266666666666665,2,3.75,2.1266666666666665,2,3.75]
[null,"M10X8",5,53.851648071345039,0.91133558274583915,38.549495150148992,22.676173617734701,20.55973074674613,2.2297777777777776,3.7162962962962967,2.2297777777777776,2,4,2.2297777777777776,2,4]
[null,"W8X21",5,53.851648071345039,1,62.099999999999994,36.529411764705877,33.119999999999997,4.852666666666666,8.0877777777777773,4.852666666666666,4.75,4.4210526315789478,4.852666666666666,4.75,4.4210526315789478]
[null,"W8X24",5,53.851648071345039,1,58.285499999999992,34.285588235294114,31.085599999999996,5.3295555555555554,8.8825925925925926,5.3295555555555554,5.25,4.5714285714285712,5.3295555555555554,5.25,4.5714285714285712]
[null,"W8X18",5,53.851648071345039,1,56.166000000000004,33.038823529411765,29.955200000000001,3.9891111111111108,6.6485185185185189,3.9891111111111108,3.75,4.8,3.9891111111111108,3.75,4.8]
[null,"W8X15",5,53.851648071345039,1,59.608499999999992,35.063823529411764,31.791199999999996,3.0933333333333333,5.1555555555555559,3.0933333333333333,3,5,3.0933333333333333,3,5]
[null,"W8X13",5,53.851648071345039,1,55.131000000000007,32.430000000000007,29.403200000000005,2.552,4.2533333333333339,2.552,2.5,5.2,2.552,2.5,5.2]
[null,"S8X18.4",5,53.851648071345039,1,65.040000000000006,38.258823529411771,34.688000000000002,3.7055555555555553,6.1759259259259265,3.7055555555555553,3.5,5.2571428571428571,3.7055555555555553,3.5,5.2571428571428571]
[null,"S8X23",5,53.851648071345039,1,105.84,62.258823529411771,56.448,4.1695555555555552,6.9492592592592599,4.1695555555555552,4,5.75,4.1695555555555552,4,5.75]
[null,"W6X25",5,53.851648071345039,1,61.248000000000005,36.02823529411765,32.665600000000005,3.4413333333333331,5.735555555555556,3.4413333333333331,3.25,7.6923076923076925,3.4413333333333331,3.25,7.6923076923076925]
[null,"W6X16",5,53.851648071345039,1,48.984000000000002,28.814117647058826,26.1248,2.0686666666666667,3.4477777777777781,2.0686666666666667,2,8,2.0686666666666667,2,8]
[null,"W6X20",5,53.851648071345039,1,48.36,28.447058823529414,25.791999999999998,2.6679999999999997,4.4466666666666663,2.6679999999999997,2.5,8,2.6679999999999997,2.5,8]

{"sheet":"Example 8.4","index":3,"n_rows":248,"n_cols":13,"rows_kept":248,"cut":false,"hidden":false,"merged":[]}
["A Beginners Guide to the Steel Construction Manual, 16th Edition",null,null,null,null,null,null,"last modified:  30 May 2023"]
["Example 8.4",null,null,null,null,null,null,"by:  TBQ"]
[]
[]
[]
[]
[null,"Span",13.5,"ft"]
[]
[]
[]
[null,"D, floor",60,"psf"]
[null,"D, Int. wall",15,"psf"]
[]
[null,"L, room",50,"psf"]
[null,"L, corr",100,"psf"]
[]
["Interior wall height",null,{"$f":"10+8/12","v":10.666666666666666},"ft"]
[]
[null,null,"Flexure","Shear"]
[null,"f",0.9,1]
[null,"W",1.67,1.5]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Solution:"]
[]
[null,"Solution Summary",null,null,null,"% Capacity Used"]
[null,null,null,"Section","wt/ft","Shear","Flexure","TL D","LL D","Controlling Limit State"]
[null,"Part(A.)","LRFD",{"$f":"+C142","v":"W12X16"},{"$f":"+D142","v":16},{"$f":"+H158","v":0.30063083683196851},{"$f":"+J150","v":0.92762575273063097},{"$f":"+D164","v":0.78463503781016308},{"$f":"+H164","v":0.60518127952178924},{"$f":"IF(F39=MAX(F39:I39),\"Shear\",IF(G39=MAX(F39:I39),\"Flexure\",IF(H39=MAX(F39:I39),\"TL Defl\",\"LL Only Defl\")))","v":"Flexure"}]
[null,null,"ASD",{"$f":"+C143","v":"W12X16"},{"$f":"+D143","v":16},{"$f":"+H159","v":0.31857820748638643},{"$f":"+J151","v":0.989817103789284},{"$f":"+D165","v":0.78463503781016308},{"$f":"+H165","v":0.60518127952178924},"Flexure"]
[null,"Part(B.)","LRFD",{"$f":"+C185","v":"HSS14X4X3/16"},{"$f":"+D185","v":22.118253520796696},{"$f":"+H200","v":0.17119847047903403},{"$f":"+L191","v":0.80105162527434637},{"$f":"+D206","v":0.58990809412004963},{"$f":"+H206","v":0.45499030504192911},"Flexure"]
[null,null,"ASD",{"$f":"+C186","v":"HSS14X4X3/16"},{"$f":"+D186","v":22.118253520796696},{"$f":"+H201","v":0.18141885384866818},{"$f":"+L192","v":0.85475699373451675},{"$f":"+D207","v":0.58990809412004963},{"$f":"+H207","v":0.45499030504192911},"Flexure"]
[null,"Part(C.)","LRFD",{"$f":"+C224","v":"C12X20.7"},{"$f":"+D224","v":20.7},{"$f":"+H200","v":0.17119847047903403},{"$f":"+I232","v":0.7283311574174095},{"$f":"+D247","v":0.62649154181741706},{"$f":"+H247","v":0.48320675806778518},"Flexure"]
[null,null,"ASD",{"$f":"+C225","v":"C12X20.7"},{"$f":"+D225","v":20.7},{"$f":"+H201","v":0.18141885384866818},{"$f":"+I233","v":0.77716108539705508},{"$f":"+D248","v":0.62649154181741706},{"$f":"+H248","v":0.48320675806778518},"Flexure"]
[]
[null,"The W section is the best choice in this case."]
[]
[null,"Given the conservative approximation of load calcs, use the member if within 3% of requirements."]
[]
[null,"The objective is to find the maximum moment on simple span with two different magnitudes of uniform load."]
[null,"You can use whatever means that you want to, but I devised my own system that uses superposition.  It takes up"]
[null,"a lot of space in the spreadsheet but seems to work."]
[]
[null,"Note that the tributary area calcs are approximate and a bit conservative around grid F (some of the Corr. LL goes to"]
[null,"the beam on grid F).  Depending on the spacing of the supported joists, you may want to analysis the beam as "]
[null,"supporting a series of point loads, however, since we don't know the precise layout of the joists, the uniform load"]
[null,"approximation will be close enough."]
[]
[null,"Do the structural analysis:"]
[null,null,null,null,null,null,"Dead Loads",null,"Live Loads",null,"Uniform Loads"]
[null,null,null,"Trib width","Start","Finish","Floor","Int wall","Floor","Corr.","wD","wL"]
[null,null,null,"(ft)","(ft)","(ft)","(plf)","(plf)","(plf)","(plf)","(plf)","(plf)"]
[null,null,"W1",{"$f":"9+8/12","v":9.6666666666666661},0,{"$f":"6+4/12","v":6.333333333333333},{"$f":"+D63*C11","v":580},{"$f":"+C17*C12","v":160},{"$f":"+D63*C14","v":483.33333333333331},null,{"$f":"G63+H63","v":740},{"$f":"+I63+J63","v":483.33333333333331}]
[null,null,"W2",12,{"$f":"+F63","v":6.333333333333333},{"$f":"+C7","v":13.5},{"$f":"+D64*C11","v":720},{"$f":"+C17*C12","v":160},null,{"$f":"+D64*C15","v":1200},{"$f":"G64+H64","v":880},{"$f":"+I64+J64","v":1200}]
[null,null,"W3",{"$f":"6+5/12","v":6.416666666666667},{"$f":"+E64","v":6.333333333333333},{"$f":"+F64","v":13.5},{"$f":"+D65*C11","v":385},null,{"$f":"+D65*C11","v":385},null,{"$f":"G65+H65","v":385},{"$f":"+I65+J65","v":385}]
[]
[]
[null,null,"Between","wD","wL",null,"The controlling load cases will be LC-2 for both LRFD and ASD"]
[null,null,null,"(plf)","(plf)",null,"since all we have is dead and live load."]
[null,null,"Grid E&F",{"$f":"+K63","v":740},{"$f":"+L63","v":483.33333333333331}]
[null,null,"Grid F&G",{"$f":"+K64+K65","v":1265},{"$f":"+L64+L65","v":1585}]
[]
[null,null,"General Case of uniform partially distributed load"]
[]
[null,null,"L",{"$f":"+C7","v":13.5},"ft"]
[null,null,"A",{"$f":"+E63","v":0},"ft"]
[null,null,"B",{"$f":"+F63","v":6.333333333333333},"ft"]
[null,null,null,null,null,null,null,null,null,null,"Midspan"]
[null,null,null,"Dead","Live","Snow","W","Total","R1","R2","Moment"]
[null,null,null,{"$f":"+D70","v":740},{"$f":"+E70","v":483.33333333333331},0,"(plf)","(k)","(k)","(k)","(ft-k)"]
[null,null,"LRFD LC-2",1.2,1.6,0.5,{"$f":"+D81*D80+E81*E80+F81*F80","v":1661.3333333333335},{"$f":"G81*D77/1000","v":10.521777777777777},{"$f":"+G81*D77/D75*(D75-D76-D77/2)/1000","v":8.0537064471879276},{"$f":"+H81-I81","v":2.468071330589849},{"$f":"I81*(D75/2)-G81/2000*MAX(0,D75/2-D76)^2+G81/2000*MAX(0,D75/2-D76-D77)^2","v":16.659481481481475}]
[null,null,"ASD LC-2",1,1,0,{"$f":"+D82*D80+E82*E80+F82*F80","v":1223.3333333333333},{"$f":"G82*D77/1000","v":7.7477777777777774},{"$f":"+G82*D77/D75*(D75-D76-D77/2)/1000","v":5.9303978052126203},{"$f":"+H82-I82","v":1.8173799725651572},{"$f":"I82*(D75/2)-G82/2000*MAX(0,D75/2-D76)^2+G82/2000*MAX(0,D75/2-D76-D77)^2","v":12.267314814814824}]
[null,null,null,0,0,0,{"$f":"+D83*D80+E83*E80+F83*F80","v":0},{"$f":"G83*D77/1000","v":0},{"$f":"+G83*D77/D75*(D75-D76-D77/2)/1000","v":0},{"$f":"+H83-I83","v":0},{"$f":"I83*(D75/2)-G83/2000*MAX(0,D75/2-D76)^2+G83/2000*MAX(0,D75/2-D76-D77)^2","v":0}]
[null,null,"R1",{"$f":"+D80*D77/D75*(D75-D76-D77/2)/1000","v":3.5873251028806581},{"$f":"+E80*D77/D75*(D75-D76-D77/2)/1000","v":2.3430727023319613},{"$f":"+F80*D77/D75*(D75-D76-D77/2)/1000","v":0}]
[null,null,"R2",{"$f":"+D80*D77/1000-D84","v":1.0993415637860076},{"$f":"+E80*D77/1000-E84","v":0.7180384087791496},{"$f":"+F80*D77/1000-F84","v":0}]
[null,null,"EI*Theta1",{"$f":"-D84/6*D75^2+D80/24000/D75*((D75-D76)^4-(D75-D76-D77)^4)","v":-39.128416399939013},{"$f":"-E84/6*D75^2+E80/24000/D75*((D75-D76)^4-(D75-D76-D77)^4)","v":-25.556848549509731},{"$f":"-F84/6*D75^2+F80/24000/D75*((D75-D76)^4-(D75-D76-D77)^4)","v":0},"k-in^2"]
[null,null,"EI*defl(ms)",{"$f":"(+D86*(D75/2)+D84/6*(D75/2)^3-D80/24000*(MAX(0,D75/2-D76)^4-MAX(0,D75/2-D76-D77)^4))*1728","v":-249256.46111111087},{"$f":"(+E86*(D75/2)+E84/6*(D75/2)^3-E80/24000*(MAX(0,D75/2-D76)^4-MAX(0,D75/2-D76-D77)^4))*1728","v":-162802.64351851854},{"$f":"(+F86*(D75/2)+F84/6*(D75/2)^3-F80/24000*(MAX(0,D75/2-D76)^4-MAX(0,D75/2-D76-D77)^4))*1728","v":0},"k-in^3"]
[]
[null,null,{"$f":"+C81","v":"LRFD LC-2"},"at x =",7.61,"ft, V =",{"$f":"+I81-G81/1000*MAX(0,E89-D76)+G81/1000*MAX(0,E89-D76-D77)","v":-2.4680713305898516},"k,  M =",{"$f":"+I81*E89-G81/2000*(MAX(E89-D76,0)^2-MAX(0,E89-D76-D77)^2)","v":14.536940137174199},"ft-k"]
[null,null,{"$f":"+C82","v":"ASD LC-2"},"at x =",7.61,"ft, V =",{"$f":"+I82-G82/1000*MAX(0,E90-D76)+G82/1000*MAX(0,E90-D76-D77)","v":-1.8173799725651556},"k,  M =",{"$f":"+I82*E90-G82/2000*(MAX(E90-D76,0)^2-MAX(0,E90-D76-D77)^2)","v":10.704368038408781},"ft-k"]
[null,null,{"$f":"+C83","v":0},"at x =",0,"ft, V =",{"$f":"+I83-G83/1000*MAX(0,E91-D76)+G83/1000*MAX(0,E91-D76-D77)","v":0},"k,  M =",{"$f":"+I83*E91-G83/2000*(MAX(E91-D76,0)^2-MAX(0,E91-D76-D77)^2)","v":0},"ft-k"]
[]
[null,null,"General Case of uniform partially distributed load"]
[]
[null,null,"L",{"$f":"+D75","v":13.5},"ft"]
[null,null,"A",{"$f":"+D77","v":6.333333333333333},"ft"]
[null,null,"B",{"$f":"+D95-D96","v":7.166666666666667},"ft"]
[null,null,null,null,null,null,null,null,null,null,"Midspan"]
[null,null,null,"Dead","Live","Snow","W","Total","R1","R2","Moment"]
[null,null,null,{"$f":"+D71","v":1265},{"$f":"+E71","v":1585},0,"(plf)","(k)","(k)","(k)","(ft-k)"]
[null,null,"LRFD LC-2",1.2,1.6,0.5,{"$f":"+D101*D100+E101*E100+F101*F100","v":4054},{"$f":"G101*D97/1000","v":29.053666666666668},{"$f":"+G101*D97/D95*(D95-D96-D97/2)/1000","v":7.7117757201646091},{"$f":"+H101-I101","v":21.341890946502058},{"$f":"I101*(D95/2)-G101/2000*MAX(0,D95/2-D96)^2+G101/2000*MAX(0,D95/2-D96-D97)^2","v":51.702576388888886}]
[null,null,"ASD LC-2",1,1,0,{"$f":"+D102*D100+E102*E100+F102*F100","v":2850},{"$f":"G102*D97/1000","v":20.425000000000001},{"$f":"+G102*D97/D95*(D95-D96-D97/2)/1000","v":5.4214506172839512},{"$f":"+H102-I102","v":15.003549382716049},{"$f":"I102*(D95/2)-G102/2000*MAX(0,D95/2-D96)^2+G102/2000*MAX(0,D95/2-D96-D97)^2","v":36.347395833333337}]
[null,null,null,0,0,0,{"$f":"+D103*D100+E103*E100+F103*F100","v":0},{"$f":"G103*D97/1000","v":0},{"$f":"+G103*D97/D95*(D95-D96-D97/2)/1000","v":0},{"$f":"+H103-I103","v":0},{"$f":"I103*(D95/2)-G103/2000*MAX(0,D95/2-D96)^2+G103/2000*MAX(0,D95/2-D96-D97)^2","v":0}]
[null,null,"R1",{"$f":"+D100*D97/D95*(D95-D96-D97/2)/1000","v":2.4063631687242801},{"$f":"+E100*D97/D95*(D95-D96-D97/2)/1000","v":3.0150874485596715},{"$f":"+F100*D97/D95*(D95-D96-D97/2)/1000","v":0}]
[null,null,"R2",{"$f":"+D100*D97/1000-D104","v":6.6594701646090542},{"$f":"+E100*D97/1000-E104","v":8.344079218106998},{"$f":"+F100*D97/1000-F104","v":0}]
[null,null,"EI*Theta1",{"$f":"-D104/6*D95^2+D100/24000/D95*((D95-D96)^4-(D95-D96-D97)^4)","v":-62.793824076455572},{"$f":"-E104/6*D95^2+E100/24000/D95*((D95-D96)^4-(D95-D96-D97)^4)","v":-78.678427795400864},{"$f":"-F104/6*D95^2+F100/24000/D95*((D95-D96)^4-(D95-D96-D97)^4)","v":0},"k-in^2"]
[null,null,"EI*defl(ms)",{"$f":"(+D106*(D95/2)+D104/6*(D95/2)^3-D100/24000*(MAX(0,D95/2-D96)^4-MAX(0,D95/2-D96-D97)^4))*1728","v":-519289.90112847218},{"$f":"(+E106*(D95/2)+E104/6*(D95/2)^3-E100/24000*(MAX(0,D95/2-D96)^4-MAX(0,D95/2-D96-D97)^4))*1728","v":-650651.77335069445},{"$f":"(+F106*(D95/2)+F104/6*(D95/2)^3-F100/24000*(MAX(0,D95/2-D96)^4-MAX(0,D95/2-D96-D97)^4))*1728","v":0},"k-in^3"]
[]
[null,null,{"$f":"+C101","v":"LRFD LC-2"},"at x =",{"$f":"+E89","v":7.61},"ft, V =",{"$f":"+I101-G101/1000*MAX(0,E109-D96)+G101/1000*MAX(0,E109-D96-D97)","v":2.5361690534979395},"k,  M =",{"$f":"+I101*E109-G101/2000*(MAX(E109-D96,0)^2-MAX(0,E109-D96-D97)^2)","v":55.382850974897117},"ft-k"]
[null,null,{"$f":"+C102","v":"ASD LC-2"},"at x =",{"$f":"+E90","v":7.61},"ft, V =",{"$f":"+I102-G102/1000*MAX(0,E110-D96)+G102/1000*MAX(0,E110-D96-D97)","v":1.7829506172839493},"k,  M =",{"$f":"+I102*E110-G102/2000*(MAX(E110-D96,0)^2-MAX(0,E110-D96-D97)^2)","v":38.934663364197533},"ft-k"]
[null,null,{"$f":"+C103","v":0},"at x =",{"$f":"+E109","v":7.61},"ft, V =",{"$f":"+I103-G103/1000*MAX(0,E111-D96)+G103/1000*MAX(0,E111-D96-D97)","v":0},"k,  M =",{"$f":"+I103*E111-G103/2000*(MAX(E111-D96,0)^2-MAX(0,E111-D96-D97)^2)","v":0},"ft-k"]
[]
[null,null,"Analysis Summary:  Superimpose results from the two partially distributed load analysis"]
[]
[null,null,null,null,"Shear",null,"Midspan",null,"Moment"]
[null,null,null,"Total","R1","R2","Moment","x ","at x"]
[null,null,null,"(k)","(k)","(k)","(ft-k)","(ft)","(ft-k)"]
[null,null,{"$f":"+C109","v":"LRFD LC-2"},{"$f":"+H81+H101","v":39.575444444444443},15.765482167352538,23.809962277091905,68.362057870370364,{"$f":"+E109","v":7.61},{"$f":"+I89+I109","v":69.919791112071323},"<--- change \"x\" until this is at max. value"]
[null,null,{"$f":"+C110","v":"ASD LC-2"},28.172777777777778,11.351848422496571,16.820929355281205,48.614710648148161,{"$f":"+E110","v":7.61},{"$f":"+I90+I110","v":49.639031402606314},"<--- change \"x\" until this is at max. value"]
[]
[null,null,"Midspan Deflection:",null,null,"Deflection Limits"]
[]
[null,null,"TL :  EI*defl(ms)",{"$f":"+D87+E87+D107+E107","v":-1582000.779108796},null,"TL defl <= L /",240,"=",{"$f":"+C7*12/G123","v":0.67500000000000004},"in"]
[null,null,"LL Only :  EI*defl(ms)",{"$f":"+E87+E107","v":-813454.41686921299},null,"LL Only defl <= L /",360,"=",{"$f":"+C7*12/G124","v":0.45},"in"]
[]
[]
["part (A):","Doubly Symmetric I shaped section"]
[]
[null,"Steel","A992"]
[null,"Fy",{"$f":"VLOOKUP(C129,StlProps,2)","v":50},"ksi"]
[]
[null,"Select a Section:"]
[]
[null,null,"Assume that Plastic Strength will control, select a section, then check FLB."]
[null,null,"LTB is not an issue since the section has full lateral support of the compression flange from the floor."]
[]
[null,null,"FLB limits:",null,"  lp",{"$f":"0.38*SQRT(29000/$C130)","v":9.1516118798821449},null,"  lr",{"$f":"1*SQRT(29000/$C130)","v":24.083189157584592},"SCM B4.1 Case 1"]
[]
[null,null,"From SCM","Section Properties"]
[null,null,"Zx Tables","wt","Actual Zx","bf/2tf","Sx","d","tw","h/tw","Ix"]
[null,null,null,"(plf)","(in3)",null,"(in3)","(in)","(in)",null,"(in4)"]
[null,"LRFD","W12X16",{"$f":"VLOOKUP($C142,StlSects,4)","v":16},{"$f":"VLOOKUP($C142,StlSects,31)","v":20.100000000000001},{"$f":"VLOOKUP($C142,StlSects,25)","v":7.53},{"$f":"VLOOKUP($C142,StlSects,32)","v":17.100000000000001},{"$f":"VLOOKUP(C142,StlSects,6)","v":12},{"$f":"VLOOKUP(C142,StlSects,12)","v":0.22},{"$f":"VLOOKUP(C142,StlSects,27)","v":49.4},{"$f":"VLOOKUP(C142,StlSects,30)","v":103}]
[null,"ASD","W12X16",{"$f":"VLOOKUP($C143,StlSects,4)","v":16},{"$f":"VLOOKUP($C143,StlSects,31)","v":20.100000000000001},{"$f":"VLOOKUP($C143,StlSects,25)","v":7.53},{"$f":"VLOOKUP($C143,StlSects,32)","v":17.100000000000001},{"$f":"VLOOKUP(C143,StlSects,6)","v":12},{"$f":"VLOOKUP(C143,StlSects,12)","v":0.22},{"$f":"VLOOKUP(C143,StlSects,27)","v":49.4},{"$f":"VLOOKUP(C143,StlSects,30)","v":103}]
[]
[]
[]
[null,null,"Design ",null,"Min","Mn calculations (P & FLB)",null,null,null,"Req'd/Act"]
[null,null,"Moment","Req'd Mn","Req'd Zx","Mp","Mr","Mn",null,"Moments"]
[null,null,"(ft-k)","(ft-k)","(in3)","(ft-k)","(ft-k)","(ft-k)"]
[null,"LRFD",{"$f":"+I118","v":69.919791112071323},{"$f":"+C150/C$20","v":77.688656791190354},{"$f":"+D150*12/C130","v":18.645277629885687},{"$f":"+E142*C$130/12","v":83.750000000000014},{"$f":"0.7*G142*C$130/12","v":49.875},{"$f":"MIN(F150-(F150-G150)*(F142-F$137)/(I$137-F$137),F150)","v":83.750000000000014},{"$f":"IF(F142<=F$137,\"Compact\",IF(F142<=I$137,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"+D150/H150","v":0.92762575273063097},{"$f":"IF(J150<=1,\"Good\",IF(J150<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[null,"ASD",{"$f":"+I119","v":49.639031402606314},{"$f":"+C151*C$21","v":82.897182442352545},{"$f":"+D151*12/C130","v":19.89532378616461},{"$f":"+E143*C$130/12","v":83.750000000000014},{"$f":"0.7*G143*C$130/12","v":49.875},{"$f":"MIN(F151-(F151-G151)*(F143-F$137)/(I$137-F$137),F151)","v":83.750000000000014},{"$f":"IF(F143<=F$137,\"Compact\",IF(F143<=I$137,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"+D151/H151","v":0.989817103789284},{"$f":"IF(J151<=1,\"Good\",IF(J151<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
[null,null,"Given the conservative approximation of load calcs, use the member if within 3% of requirements."]
[]
[null,null,"Design ",null,null,null,null,"Req'd/Act"]
[null,null,"Shear","Req'd Vn","k","sqrt(kvE/Fy)","Vn","Shear"]
[null,null,"(k)","(k)",null,null,"(k)","(in3)"]
[null,"LRFD",{"$f":"+MAX(E118:F118)","v":23.809962277091905},{"$f":"+C158/D20","v":23.809962277091905},{"$f":"IF(J142<260,5,\"Need Stiffeners\")","v":5},{"$f":"+SQRT(E158*29000/$C$130)","v":53.851648071345039},{"$f":"0.6*C130*H142*I142","v":79.2},{"$f":"+D158/G158","v":0.30063083683196851},{"$f":"IF(H158<=1,\"Good\",IF(H158<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[null,"ASD",{"$f":"+MAX(E119:F119)","v":16.820929355281205},{"$f":"+C159*D21","v":25.231394032921806},{"$f":"IF(J143<260,5,\"Need Stiffeners\")","v":5},{"$f":"+SQRT(E159*29000/$C$130)","v":53.851648071345039},{"$f":"0.6*C130*H143*I143","v":79.2},{"$f":"+D159/G159","v":0.31857820748638643},{"$f":"IF(H159<=1,\"Good\",IF(H159<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
[]
[null,null,"TL Defl","Act/Allow",null,null,"LL Only Defl","Act/Allow"]
[null,null,"(in)",null,null,null,"(in)"]
[null,"LRFD",{"$f":"ABS(D123/29000/K142)","v":0.52962865052186014},{"$f":"+C164/I123","v":0.78463503781016308},{"$f":"IF(D164<=1,\"Good\",IF(D164<=1.03,\"Close\",\"No Good\"))","v":"Good"},null,{"$f":"ABS(D124/29000/K142)","v":0.27233157578480516},{"$f":"+G164/I$124","v":0.60518127952178924},{"$f":"IF(H164<=1,\"Good\",IF(H164<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[null,"ASD",{"$f":"+C164","v":0.52962865052186014},{"$f":"+C165/I123","v":0.78463503781016308},{"$f":"IF(D165<=1,\"Good\",IF(D165<=1.03,\"Close\",\"No Good\"))","v":"Good"},null,{"$f":"+G164","v":0.27233157578480516},{"$f":"+G165/I$124","v":0.60518127952178924},{"$f":"IF(H165<=1,\"Good\",IF(H165<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
[null,null,"You can also use the brute force (exhaustive search method), however, since plastic strength controls, the Zx table is very"]
[null,null,"handy for homing in on the best section quickly."]
[]
["part (B):","Rectangular HSS"]
[null,null,null,null,null,"Note that it is a fairly simple spreadsheet exercise to extract all the HSS sections"]
[null,"Steel","A500 Gr B, Rect HSS",null,null,"from the AISC shapes database and reorder them by Zx.  This has been done"]
[null,"Fy",{"$f":"VLOOKUP(C172,StlProps,2)","v":46},"ksi",null,"to facilitate the quick selection of the best member in this case"]
[]
[null,"Select a Section:"]
[]
[null,null,"Assume that Plastic Strength will control, select a section, then check FLB."]
[null,null,"LTB is not an issue since the section has full lateral support of the compression flange from the floor."]
[]
[null,null,"FLB limits:",null,"  lp",{"$f":"1.12*SQRT(29000/$C173)","v":28.121475624588907},null,"  lr",{"$f":"1.4*SQRT(29000/$C173)","v":35.151844530736128},"SCM B4.1 Case 12"]
[]
[null,null,"From SCM","Section Properties"]
[null,null,"Area Tables","wt","h","b","t","Actual Zx","b/t","Sx","Aw","Ix"]
[null,null,null,"(plf)","(in)","(in)","(in)","(in3)",null,"(in3)","(in2)","(in4)"]
[null,"LRFD","HSS14X4X3/16",{"$f":"VLOOKUP($C185,StlSects,4)","v":22.118253520796696},{"$f":"VLOOKUP($C185,StlSects,7)","v":14},{"$f":"VLOOKUP($C185,StlSects,10)","v":4},{"$f":"VLOOKUP($C185,StlSects,15)","v":0.1875},{"$f":"VLOOKUP($C185,StlSects,31)","v":25.3},{"$f":"VLOOKUP($C185,StlSects,26)","v":20},{"$f":"VLOOKUP($C185,StlSects,32)","v":19.5},{"$f":"2*(E185-3*G185)*(G185)","v":5.0390625},{"$f":"VLOOKUP(C185,StlSects,30)","v":137}]
[null,"ASD","HSS14X4X3/16",{"$f":"VLOOKUP($C186,StlSects,4)","v":22.118253520796696},{"$f":"VLOOKUP($C186,StlSects,7)","v":14},{"$f":"VLOOKUP($C186,StlSects,10)","v":4},{"$f":"VLOOKUP($C186,StlSects,15)","v":0.1875},{"$f":"VLOOKUP($C186,StlSects,31)","v":25.3},{"$f":"VLOOKUP($C186,StlSects,26)","v":20},{"$f":"VLOOKUP($C186,StlSects,32)","v":19.5},{"$f":"2*(E186-3*G186)*(G186)","v":5.0390625},{"$f":"VLOOKUP(C186,StlSects,30)","v":137}]
[]
[null,null,"Design ",null,"Min","Mn calculations (P & FLB), SCM F7",null,null,null,null,null,"Req'd/Act"]
[null,null,"Moment","Req'd Mn","Req'd Zx","Mp","Mr","be","Seff",null,"Mn","Moments"]
[null,null,"(ft-k)","(ft-k)","(in3)","(ft-k)","(ft-k)",null,null,null,"(ft-k)"]
[null,"LRFD",{"$f":"+C150","v":69.919791112071323},{"$f":"+C191/C$20","v":77.688656791190354},{"$f":"+D191*12/C173","v":20.266606119440961},{"$f":"+H185*C$173/12","v":96.983333333333334},{"$f":"J185*C$173/12","v":74.75},{"$f":"MIN(1.92*G185*SQRT(29000/C$173)*(1-0.38*SQRT(29000/C$173)/I185),F185)","v":4},{"$f":"+H191*(E185^2)/6-(H191-2*G185)*((E185-2*G185)^2)/6","v":18.508789062499986},{"$f":"IF(I185<=F$180,\"Compact\",IF(I185<=I$180,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"IF(I185<=F$180,F191,IF(I185<=I$180,MIN(F191-(F191-G191)*(3.57*I185*SQRT(C$173/29000)-4),F191),I191*C$173/12))","v":96.983333333333334},{"$f":"+D191/K191","v":0.80105162527434637},{"$f":"IF(L191<=1,\"Good\",IF(L191<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[null,"ASD",{"$f":"+C151","v":49.639031402606314},{"$f":"+C192*C$21","v":82.897182442352545},{"$f":"+D192*12/C173","v":21.625351941483274},{"$f":"+H186*C$173/12","v":96.983333333333334},{"$f":"J186*C$173/12","v":74.75},{"$f":"MIN(1.92*G186*SQRT(29000/C$173)*(1-0.38*SQRT(29000/C$173)/I186),F186)","v":4},{"$f":"+H192*(E186^2)/6-(H192-2*G186)*((E186-2*G186)^2)/6","v":18.508789062499986},{"$f":"IF(I186<=F$180,\"Compact\",IF(I186<=I$180,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"IF(I186<=F$180,F192,IF(I186<=I$180,MIN(F192-(F192-G192)*(3.57*I186*SQRT(C$173/29000)-4),F192),I192*C$173/12))","v":96.983333333333334},{"$f":"+D192/K192","v":0.85475699373451675},{"$f":"IF(L192<=1,\"Good\",IF(L192<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
[null,null,"The Rect. HSS sections are very sensitive to FLB!  You will need to be able to compute Mn for compact, non-compact and slender flanges."]
[null,null,"I used a brute force method to find the lightest section (computed req'dMn/Actual Mn for each, deleted those that don't work, then sorted by weight)"]
[]
[null,null,"Design ",null,null,null,null,"Req'd/Act"]
[null,null,"Shear","Req'd Vn","k","sqrt(kvE/Fy)","Vn","Shear"]
[null,null,"(k)","(k)",null,null,"(k)","(in3)"]
[null,"LRFD",{"$f":"+MAX(E$118:F$118)","v":23.809962277091905},{"$f":"+C200/D$20","v":23.809962277091905},5,{"$f":"+SQRT(E200*29000/$C$130)","v":53.851648071345039},{"$f":"0.6*C173*K185","v":139.078125},{"$f":"+D200/G200","v":0.17119847047903403},{"$f":"IF(H200<=1,\"Good\",IF(H200<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[null,"ASD",{"$f":"+MAX(E$119:F$119)","v":16.820929355281205},{"$f":"+C201*D$21","v":25.231394032921806},5,{"$f":"+SQRT(E201*29000/$C$130)","v":53.851648071345039},{"$f":"0.6*C173*K186","v":139.078125},{"$f":"+D201/G201","v":0.18141885384866818},{"$f":"IF(H201<=1,\"Good\",IF(H201<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
[]
[null,null,"TL Defl","Act/Allow",null,null,"LL Only Defl","Act/Allow"]
[null,null,"(in)",null,null,null,"(in)"]
[null,"LRFD",{"$f":"ABS(D$123/29000/L185)","v":0.39818796353103353},{"$f":"+C206/I$123","v":0.58990809412004963},{"$f":"IF(D206<=1,\"Good\",IF(D206<=1.03,\"Close\",\"No Good\"))","v":"Good"},null,{"$f":"ABS(D$124/29000/L185)","v":0.2047456372688681},{"$f":"+G206/I$124","v":0.45499030504192911},{"$f":"IF(H206<=1,\"Good\",IF(H206<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[null,"ASD",{"$f":"ABS(D$123/29000/L186)","v":0.39818796353103353},{"$f":"+C207/I$123","v":0.58990809412004963},{"$f":"IF(D207<=1,\"Good\",IF(D207<=1.03,\"Close\",\"No Good\"))","v":"Good"},null,{"$f":"ABS(D$124/29000/L186)","v":0.2047456372688681},{"$f":"+G207/I$124","v":0.45499030504192911},{"$f":"IF(H207<=1,\"Good\",IF(H207<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
["part (C.):","Channel"]
[]
[null,"Steel","A992"]
[null,"Fy",{"$f":"VLOOKUP(C211,StlProps,2)","v":50},"ksi"]
[]
[null,"Select a Section:"]
[]
[null,null,"Assume that Plastic Strength will control, select a section, then check FLB."]
[null,null,"LTB is not an issue since the section has full lateral support of the compression flange from the floor."]
[]
[null,null,"FLB limits:",null,"  lp",{"$f":"0.38*SQRT(29000/$C212)","v":9.1516118798821449},null,"  lr",{"$f":"1*SQRT(29000/$C212)","v":24.083189157584592},"SCM B4.1 Case 1"]
[]
[null,null,"From SCM","Section Properties"]
[null,null,"Area Tables","wt","Actual Zx","bf/tf","Sx","d","tw","h/tw","Ix"]
[null,null,null,"(plf)","(in3)",null,"(in3)","(in)","(in)",null,"(in4)"]
[null,"LRFD","C12X20.7",{"$f":"VLOOKUP($C224,StlSects,4)","v":20.7},{"$f":"VLOOKUP($C224,StlSects,31)","v":25.6},{"$f":"VLOOKUP($C224,StlSects,9)/VLOOKUP($C224,StlSects,13)","v":5.8682634730538918},{"$f":"VLOOKUP($C224,StlSects,32)","v":21.5},{"$f":"VLOOKUP(C224,StlSects,6)","v":12},{"$f":"VLOOKUP(C224,StlSects,12)","v":0.28199999999999997},{"$f":"(VLOOKUP(C224,StlSects,6)-VLOOKUP(C224,StlSects,13)*2)/VLOOKUP(C224,StlSects,12)","v":39},{"$f":"VLOOKUP(C224,StlSects,30)","v":129}]
[null,"ASD","C12X20.7",{"$f":"VLOOKUP($C225,StlSects,4)","v":20.7},{"$f":"VLOOKUP($C225,StlSects,31)","v":25.6},{"$f":"VLOOKUP($C225,StlSects,9)/VLOOKUP($C225,StlSects,13)","v":5.8682634730538918},{"$f":"VLOOKUP($C225,StlSects,32)","v":21.5},{"$f":"VLOOKUP(C225,StlSects,6)","v":12},{"$f":"VLOOKUP(C225,StlSects,12)","v":0.28199999999999997},{"$f":"(VLOOKUP(C225,StlSects,6)-VLOOKUP(C225,StlSects,13)*2)/VLOOKUP(C225,StlSects,12)","v":39},{"$f":"VLOOKUP(C225,StlSects,30)","v":129}]
[]
[null,null,"Note… a C10x20 worked for flexure for LRFD, but failed in deflection…"]
[]
[null,null,"Design ",null,"Min","Mn calculations (P)",null,null,"Req'd/Act"]
[null,null,"Moment","Req'd Mn","Req'd Zx","Mp","Mn",null,"Moments"]
[null,null,"(ft-k)","(ft-k)","(in3)","(ft-k)","(ft-k)"]
[null,"LRFD",{"$f":"+C150","v":69.919791112071323},{"$f":"+C232/C$20","v":77.688656791190354},{"$f":"+D232*12/C212","v":18.645277629885687},{"$f":"+E224*C$212/12","v":106.66666666666667},{"$f":"+F232","v":106.66666666666667},{"$f":"IF(F224<=F$137,\"Compact\",IF(F224<=I$137,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"+D232/G232","v":0.7283311574174095},{"$f":"IF(I232<=1,\"Good\",IF(I232<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[null,"ASD",{"$f":"+C151","v":49.639031402606314},{"$f":"+C233*C$21","v":82.897182442352545},{"$f":"+D233*12/C212","v":19.89532378616461},{"$f":"+E225*C$212/12","v":106.66666666666667},{"$f":"+F233","v":106.66666666666667},{"$f":"IF(F225<=F$137,\"Compact\",IF(F225<=I$137,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"+D233/G233","v":0.77716108539705508},{"$f":"IF(I233<=1,\"Good\",IF(I233<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
[null,null,"You can also use the brute force (exhaustive search method), however, since plastic strength controls, the Zx table is very"]
[null,null,"handy for homing in on the best section quickly."]
[]
[null,null,"Design ",null,null,null,null,"Req'd/Act"]
[null,null,"Shear","Req'd Vn","k","sqrt(kvE/Fy)","Vn","Shear"]
[null,null,"(k)","(k)",null,null,"(k)","(in3)"]
[null,"LRFD",{"$f":"+MAX(E$118:F$118)","v":23.809962277091905},{"$f":"+C241/D$20","v":23.809962277091905},{"$f":"IF(I219<260,5,\"Need Stiffeners\")","v":5},{"$f":"+SQRT(E241*29000/$C$212)","v":53.851648071345039},{"$f":"0.6*C212*H224*I224","v":101.52},{"$f":"+D241/G241","v":0.2345346954008265},{"$f":"IF(H241<=1,\"Good\",IF(H241<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[null,"ASD",{"$f":"+MAX(E$119:F$119)","v":16.820929355281205},{"$f":"+C242*D$21","v":25.231394032921806},{"$f":"IF(I219<260,5,\"Need Stiffeners\")","v":5},{"$f":"+SQRT(E242*29000/$C$212)","v":53.851648071345039},{"$f":"0.6*C212*H225*I225","v":101.52},{"$f":"+D242/G242","v":0.24853619023760645},{"$f":"IF(H242<=1,\"Good\",IF(H242<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
[]
[null,null,"TL Defl","Act/Allow",null,null,"LL Only Defl","Act/Allow"]
[null,null,"(in)",null,null,null,"(in)"]
[null,"LRFD",{"$f":"ABS(D123/29000/K224)","v":0.42288179072675652},{"$f":"+C247/I123","v":0.62649154181741706},{"$f":"IF(D247<=1,\"Good\",IF(D247<=1.03,\"Close\",\"No Good\"))","v":"Good"},null,{"$f":"ABS(D124/29000/K224)","v":0.21744304113050333},{"$f":"+G247/I124","v":0.48320675806778518},{"$f":"IF(H247<=1,\"Good\",IF(H247<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[null,"ASD",{"$f":"ABS(D123/29000/K225)","v":0.42288179072675652},{"$f":"+C248/I123","v":0.62649154181741706},{"$f":"IF(D248<=1,\"Good\",IF(D248<=1.03,\"Close\",\"No Good\"))","v":"Good"},null,{"$f":"ABS(D124/29000/K225)","v":0.21744304113050333},{"$f":"+G248/I124","v":0.48320675806778518},{"$f":"IF(H248<=1,\"Good\",IF(H248<=1.03,\"Close\",\"No Good\"))","v":"Good"}]

{"sheet":"Example 8.4b","index":4,"n_rows":380,"n_cols":19,"rows_kept":380,"cut":false,"hidden":false,"merged":[]}
["A Beginners Guide to the Steel Construction Manual, 16th Edition",null,null,null,null,null,null,"last modified:  30 May 2023"]
["Example 8.4(b)",null,null,null,null,null,null,"by:  TBQ"]
[]
[null,"Problem 8.4, part (b), LRFD, Brute force method!"]
[]
["Steel","A500 Gr B, Rect HSS",null,null,"from the AISC shapes database reordered by Area.  This has been done"]
["Fy",{"$f":"VLOOKUP(B6,StlProps,2)","v":46},"ksi",null,"to facilitate the quick selection of the best member in this case"]
[]
["Select a Section:"]
[]
[null,"LTB is not an issue since the section has full lateral support of the compression flange from the floor."]
[]
[null,"FLB limits:",null,"  lp",{"$f":"1.12*SQRT(29000/$B7)","v":28.121475624588907},null,"  lr",{"$f":"1.4*SQRT(29000/$B7)","v":35.151844530736128},"SCM B4.1b Case 17"]
[]
[null,"Design ",null,"Min","From SCM","Section Properties",null,null,null,null,null,null,"Mn calculations (P & FLB), SCM F7",null,null,null,null,null,"Req'd/Act"]
[null,"Moment","Req'd Mn","Req'd Zx","Area Tables","wt","h","b","t","Actual Zx","b/t","Sx","Mp","Mr","be","Seff",null,"Mn","Moments"]
[null,"(ft-k)","(ft-k)","(in3)",null,"(plf)","(in)","(in)","(in)","(in3)",null,"(in3)","(ft-k)","(ft-k)",null,null,null,"(ft-k)"]
["LRFD",{"$f":"+'Example 8.4'!C191","v":69.919791112071323},{"$f":"+'Example 8.4'!D191","v":77.688656791190354},{"$f":"+'Example 8.4'!E191","v":20.266606119440961},"HSS14X4X3/16",{"$f":"VLOOKUP($E18,StlSects,4)","v":22.118253520796696},{"$f":"VLOOKUP($E18,StlSects,7)","v":14},{"$f":"VLOOKUP($E18,StlSects,10)","v":4},{"$f":"VLOOKUP($E18,StlSects,15)","v":0.1875},{"$f":"VLOOKUP($E18,StlSects,31)","v":25.3},{"$f":"VLOOKUP($E18,StlSects,26)","v":20},{"$f":"VLOOKUP($E18,StlSects,32)","v":19.5},{"$f":"+J18*B$7/12","v":96.983333333333334},{"$f":"L18*B$7/12","v":74.75},{"$f":"MIN(1.92*I18*SQRT(29000/B$7)*(1-0.38*SQRT(29000/B$7)/K18),H18)","v":4},{"$f":"+O18*(G18^2)/6-(O18-2*I18)*((G18-2*I18)^2)/6","v":18.508789062499986},{"$f":"IF(K18<=E$13,\"Compact\",IF(K18<=H$13,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"IF(K18<=E$13,M18,IF(K18<=H$13,MIN(M18-(M18-N18)*(3.57*K18*SQRT(B$7/29000)-4),M18),P18*B$7/12))","v":96.983333333333334},{"$f":"+C18/R18","v":0.80105162527434637}]
[null,{"$f":"+B18","v":69.919791112071323},{"$f":"+C18","v":77.688656791190354},{"$f":"+D18","v":20.266606119440961},"HSS2X1X1/8",2.1941785277614949,2,1,0.125,0.36599999999999999,5.62,0.28000000000000003,1.4029999999999998,1.0733333333333335,-4.2045126004602666,-0.5293509271552499,"Compact",1.4029999999999998,55.373240763499901]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X1X1/8",2.6195257499837168,2.5,1,0.125,0.53200000000000003,5.62,0.40300000000000002,2.0393333333333334,1.5448333333333333,-4.2045126004602666,-0.6212056188410946,"Compact",2.0393333333333334,38.095124284663463]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2X2X1/8",2.6195257499837168,2,2,0.125,0.47499999999999998,9.93,0.38300000000000001,1.8208333333333331,1.4681666666666668,0.23593460237175054,0.16446894828725267,"Compact",1.8208333333333331,42.666539198823081]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2X2X1/8",2.6195257499837168,2,2,0.125,0.47499999999999998,9.93,0.38300000000000001,1.8208333333333331,1.4681666666666668,0.23593460237175054,0.16446894828725267,"Compact",1.8208333333333331,42.666539198823081]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2X1X3/16",3.0283108541300297,2,1,0.1875,0.48,2.75,0.35,1.8399999999999999,1.3416666666666666,-22.322219085659384,-4.8923386990947044,"Compact",1.8399999999999999,42.222096082168676]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X1-1/2X1/8",3.0448729722059391,2.5,1.5,0.125,0.67100000000000004,9.93,0.53500000000000003,2.5721666666666669,2.0508333333333337,0.23593460237175054,0.25763289005274231,"Compact",2.5721666666666669,30.203585870999941]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X1X1/8",3.0448729722059391,3,1,0.125,0.72799999999999998,5.62,0.54500000000000004,2.7906666666666666,2.0891666666666668,-4.2045126004602666,-0.69222697719360582,"Compact",2.7906666666666666,27.838744669561763]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/4X2X1/8",3.2575465833170503,2.25,2.25,0.125,0.69299999999999995,14.2,0.57399999999999995,2.6564999999999999,2.200333333333333,1.9770409012711492,0.5167676596000994,"Compact",2.6564999999999999,29.244741875095183]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X2X1/8",3.4702201944281614,2.5,2,0.125,0.80900000000000005,14.2,0.66700000000000004,3.1011666666666673,2.5568333333333335,1.9770409012711492,0.60222684504324819,"Compact",3.1011666666666673,25.051429072238513]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/4X2-1/4X1/8",3.4702201944281614,2.25,2.25,0.125,0.755,16.399999999999999,0.63300000000000001,2.8941666666666666,2.4265000000000003,2.25,0.56510416666666674,"Compact",2.8941666666666666,26.843186913166839]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X1-1/2X1/8",3.4702201944281614,3,1.5,125,0.89500000000000002,9.93,0.70599999999999996,3.4308333333333336,2.7063333333333333,1.5,2526791.6666666665,"Compact",3.4308333333333336,22.644252647420068]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X1X3/16",3.6680330763522528,2.5,1,0.1875,0.71299999999999997,2.75,0.51700000000000002,2.733166666666667,1.9818333333333333,-22.322219085659384,-6.1702898919484177,"Compact",2.733166666666667,28.424412509734868]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2X1-1/2X3/16",3.6680330763522528,2,1.5,0.1875,0.63900000000000001,5.62,0.495,2.4495,1.8975,-6.3067689006903995,-1.2638382665626691,"Compact",2.4495,31.716128512427169]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X2-1/2X1/8",3.8955674166503838,2.5,2.5,0.125,0.94699999999999995,18.600000000000001,0.79900000000000004,3.6301666666666663,3.0628333333333337,2.5,0.70572916666666652,"Compact",3.6301666666666663,21.400851234890141]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X1-1/2X1/8",{"$f":"VLOOKUP($E33,StlSects,4)","v":3.8955674166503838},3.5,1.5,0.125,1.1499999999999999,9.93,0.89600000000000002,4.4083333333333332,3.4346666666666668,0.23593460237175054,0.50646077358372155,"Compact",4.4083333333333332,17.623135756035619]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X2X1/8",3.8955674166503838,3,2,0.125,1.06,14.2,0.86699999999999999,4.0633333333333335,3.3234999999999997,1.9770409012711492,0.78877021592954621,"Compact",4.0633333333333335,19.119439735321663]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2X2X3/16",4.2988808541300294,2,2,0.1875,0.79700000000000004,8.49,0.64100000000000001,3.0551666666666666,2.4571666666666667,-1.1191966970785365,-8.8528939181855892E-2,"Compact",3.0551666666666666,25.428614955383892]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X1-1/2X3/16",4.3077552985744747,2.5,1.5,0.1875,0.91500000000000004,5.62,0.70499999999999996,3.5075000000000003,2.7025000000000001,-6.3067689006903995,-1.5408238228558186,"Compact",3.5075000000000003,22.149296305399957]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X1X3/16",4.3077552985744747,3,1,0.1875,0.98899999999999999,2.75,0.71299999999999997,3.7911666666666668,2.733166666666667,-22.322219085659384,-7.4169910848021239,"Compact",3.7911666666666668,20.492018320971649]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X2X1/8",4.3209146388726056,3.5,2,0.125,1.34,14.2,1.0900000000000001,5.1366666666666667,4.1783333333333337,1.9770409012711492,0.99614692014917772,"Compact",5.1366666666666667,15.124332924955942]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X2-1/2X1/8",4.3209146388726056,3,2.5,0.125,1.23,18.600000000000001,1.03,4.7149999999999999,3.9483333333333337,2.5,0.9140625,"Compact",4.7149999999999999,16.476915544260944]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/4X2X3/16",4.6276164096855856,2.25,2.25,0.1875,0.95199999999999996,8.49,0.76400000000000001,3.6493333333333333,2.9286666666666665,-1.1191966970785365,-6.8816335965560249E-2,"Compact",3.6493333333333333,21.288451806135463]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X3X1/8",4.7462618610948279,3,3,0.125,1.4,22.9,1.19,5.3666666666666663,4.5616666666666665,3,1.0338541666666665,"Compact",5.3666666666666663,14.476147228172117]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X2X1/8",4.7462618610948279,4,2,0.125,1.66,14.2,1.32,6.3633333333333333,5.0600000000000005,1.9770409012711492,1.2243569577021418,"Compact",6.3633333333333333,12.20879886713311]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/4X2-1/4X3/16",4.9369016874633633,2.25,2.25,0.1875,1.04,9.93,0.84699999999999998,3.9866666666666668,3.246833333333333,0.3539019035576258,0.31096689701095037,"Compact",3.9866666666666668,19.487121268693233]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X2X3/16",4.9474775207966966,2.5,2,0.1875,1.1200000000000001,8.49,0.89400000000000002,4.2933333333333339,3.427,-1.1191966970785365,-4.1291232749264495E-2,"Compact",4.2933333333333339,18.095184035215141]
[null,{"$f":"+B44","v":69.919791112071323},{"$f":"+C44","v":77.688656791190354},{"$f":"+D44","v":20.266606119440961},"HSS3X1-1/2X3/16",4.9474775207966966,3,1.5,0.1875,1.24,5.62,0.94499999999999995,4.753333333333333,3.6225000000000001,-6.3067689006903995,-1.7865593791489678,"Compact",4.753333333333333,16.344037193097552]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X2-1/2X1/8",5.1716090833170503,4,2.5,0.125,1.88,18.600000000000001,1.54,7.2066666666666661,5.9033333333333333,2.5,1.393229166666667,"Compact",7.2066666666666661,10.780109638000512]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X1-1/2X1/4",5.3752379697845996,2.5,1.5,0.25,1.1100000000000001,3.44,0.82199999999999995,4.2549999999999999,3.1509999999999998,-21.375643770308358,-7.6825330805323002,"Compact",4.2549999999999999,18.258203711208076]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2X2X1/4",5.3752379697845996,2,2,0.25,0.96399999999999997,5.58,0.747,3.6953333333333336,2.8635000000000002,-8.5556996538444547,-2.3079123990379657,"Compact",3.6953333333333336,21.023450331370292]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X2-1/2X3/16",5.5749225207966964,2.5,2.5,0.1875,1.32,11.4,1.08,5.0600000000000005,4.1400000000000006,1.4738283451706558,0.70825506852589271,"Compact",5.0600000000000005,15.353489484424969]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X1-1/2X3/16",{"$f":"VLOOKUP($E50,StlSects,4)","v":5.5871997430189184},{"$f":"VLOOKUP($E50,StlSects,7)","v":3.5},{"$f":"VLOOKUP($E50,StlSects,10)","v":1.5},{"$f":"VLOOKUP($E50,StlSects,15)","v":0.1875},{"$f":"VLOOKUP($E50,StlSects,31)","v":1.6},{"$f":"VLOOKUP($E50,StlSects,26)","v":5.62},{"$f":"VLOOKUP($E50,StlSects,32)","v":1.21},{"$f":"+J50*B$7/12","v":6.1333333333333337},{"$f":"L50*B$7/12","v":4.6383333333333328},{"$f":"MIN(1.92*I50*SQRT(29000/B$7)*(1-0.38*SQRT(29000/B$7)/K50),H50)","v":-6.3067689006903995},{"$f":"+O50*(G50^2)/6-(O50-2*I50)*((G50-2*I50)^2)/6","v":-2.0010449354421187},{"$f":"IF(K50<=E$13,\"Compact\",IF(K50<=H$13,\"Non C.\",\"Slend.\"))","v":"Compact"},6.1333333333333337,{"$f":"+C50/R50","v":12.6666288246506}]
[null,{"$f":"+B50","v":69.919791112071323},{"$f":"+C50","v":77.688656791190354},{"$f":"+D50","v":20.266606119440961},"HSS3X2X3/16",5.5871997430189184,3,2,0.1875,1.48,8.49,1.18,5.6733333333333329,4.5233333333333325,-1.1191966970785365,3.7196473683327014E-2,"Compact",5.6733333333333329,13.693652783406057]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X3-1/2X1/8",5.5969563055392726,3.5,3.5,0.125,1.93,27.2,1.66,7.3983333333333334,6.3633333333333333,3.5,1.4244791666666661,"Compact",7.3983333333333334,10.50083218623884]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X3X1/8",5.5969563055392726,4,3,0.125,2.11,22.9,1.76,8.0883333333333329,6.7466666666666661,3,1.5546875,"Compact",8.0883333333333329,9.6050265968914523]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X2X1/8",5.5969563055392726,5,2,0.125,2.37,14.2,1.86,9.0850000000000009,7.13,1.9770409012711492,1.7432770328080718,"Compact",9.0850000000000009,8.5513105989202369]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X2-1/2X1/8",6.0223035277614949,5,2.5,0.125,2.65,18.600000000000001,2.14,10.158333333333333,8.2033333333333349,2.5,1.9557291666666661,"Compact",10.158333333333333,7.6477758941286647]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X2X1/4",6.2259324142290442,2.5,2,0.25,1.37,5.58,1.06,5.2516666666666669,4.0633333333333335,-8.5556996538444547,-2.8750540368583382,"Compact",5.2516666666666669,14.793143152876613]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/4X2-1/4X1/4",6.2259324142290442,2.25,2.25,0.25,1.28,6.66,1.01,4.9066666666666672,3.8716666666666666,-5.2139006318210281,-1.4827585439403426,"Compact",4.9066666666666672,15.83328603081325]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X1-1/2X1/4",6.2259324142290442,3,1.5,0.25,1.51,3.44,1.1200000000000001,5.7883333333333331,4.2933333333333339,-21.375643770308358,-9.2763367280579985,"Compact",5.7883333333333331,13.42159345658342]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X2X3/16",6.2269219652411412,3.5,2,0.1875,1.89,8.49,1.49,7.2450000000000001,5.7116666666666669,-1.1191966970785365,0.14693418011591808,"Compact",7.2450000000000001,10.723072020868234]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X2-1/2X3/16",6.2269219652411412,3,2.5,0.1875,1.73,11.4,1.41,6.6316666666666668,5.4050000000000002,1.4738283451706558,0.9488068400990588,"Compact",6.6316666666666668,11.714801225110381]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X4X1/8",6.4476507499837172,4,4,0.125,2.56,31.5,2.2000000000000002,9.8133333333333344,8.4333333333333336,4,1.8776041666666661,"Non C.",9.1526317826642316,8.4881221746884297]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X3X1/8",6.4476507499837172,5,3,0.125,2.93,22.9,2.41,11.231666666666667,9.2383333333333351,3,2.1588541666666661,"Compact",11.231666666666667,6.9169304161914544]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X2X1/8",6.4476507499837172,6,2,0.125,3.19,14.2,2.4700000000000002,12.228333333333333,9.4683333333333337,1.9770409012711492,2.3455304412473339,"Compact",12.228333333333333,6.3531680625206777]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X3X3/16",6.8509641874633633,3,3,0.1875,1.97,14.2,1.64,7.5516666666666667,6.2866666666666662,2.9655613519067234,1.4732442252797076,"Compact",7.5516666666666667,10.287617319513178]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X2X3/16",6.8666441874633639,4,2,0.1875,2.34,8.49,1.83,8.9699999999999989,7.0150000000000006,-1.1191966970785365,0.28792188654851003,"Compact",8.9699999999999989,8.660942786085883]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS2-1/2X2-1/2X1/4",7.0766268586734888,2.5,2.5,0.25,1.63,7.73,1.3,6.2483333333333322,4.9833333333333334,-2.8239162945955645,-0.72563527714000342,"Compact",6.2483333333333322,12.433500686773598]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X1-1/2X1/4",7.0766268586734888,3.5,1.5,0.25,1.98,3.44,1.46,7.59,5.5966666666666667,-21.375643770308358,-10.828473708917031,"Compact",7.59,10.235659656283314]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X2X1/4",7.0766268586734888,3,2,0.25,1.83,5.58,1.42,7.0150000000000006,5.4433333333333325,-8.5556996538444547,-3.4005290080120432,"Compact",7.0150000000000006,11.074648152699979]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4-1/2X4-1/2X1/8",7.2983451944281601,4.5,4.5,0.125,3.27,35.799999999999997,2.82,12.534999999999998,10.81,4.4200066872427488,2.3640649380572523,"Slend.",9.0622489292194661,8.5727789423989815]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X4X1/8",7.2983451944281601,5,4,0.125,3.5,31.5,2.97,13.416666666666666,11.385,4,2.5651041666666679,"Non C.",12.443967161514932,6.2430779334950062]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X3X1/8",7.2983451944281601,6,3,0.125,3.87,22.9,3.14,14.835000000000001,12.036666666666667,3,2.8463541666666661,"Compact",14.835000000000001,5.2368491264705321]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X2X1/4",7.2983451944281601,7,2,0.125,4.13,14.2,3.16,15.831666666666665,12.113333333333335,1.9770409012711492,3.0311171830199299,"Compact",15.831666666666665,4.9071685519227515]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X2-1/2X3/16",7.5063664096855867,4,2.5,0.1875,2.67,11.4,2.15,10.234999999999999,8.2416666666666654,1.4738283451706558,1.5236603832453905,"Compact",10.234999999999999,7.590489183311222]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X2X1/4",7.9273213031179326,3.5,2,0.25,2.36,5.58,1.81,9.0466666666666651,6.9383333333333335,-8.5556996538444547,-3.8843373124990794,"Compact",9.0466666666666651,8.5875449658648151]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X2-1/2X1/4",7.9273213031179326,3,2.5,0.25,2.16,7.73,1.72,8.2800000000000011,6.5933333333333337,-2.8239162945955645,-0.77346163502296728,"Compact",8.2800000000000011,9.382688018259703]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X3-1/2X3/16",8.1270058541300294,3.5,3.5,0.1875,2.76,17.100000000000001,2.31,10.58,8.8550000000000004,3.5,2.0595703125,"Compact",10.58,7.3429732316815075]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X3X3/16",8.1460886319078085,4,3,0.1875,3,14.2,2.4700000000000002,11.5,9.4683333333333337,2.9655613519067234,2.2345643942680482,"Compact",11.5,6.7555353731469872]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X2X3/16",8.1460886319078085,5,2,0.1875,3.37,8.49,2.6,12.918333333333335,9.9666666666666668,-1.1191966970785365,0.66364729941369216,"Compact",12.918333333333335,6.013829709032926]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X5X1/8",8.1490396388726047,5,5,0.125,4.07,40.1,3.52,15.601666666666668,13.493333333333332,4.5922237036039588,2.8056950462557744,"Slend.",10.755164343980468,7.2233816524311631]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X4X1/8",8.1490396388726047,6,4,0.125,4.5599999999999996,31.5,3.81,17.48,14.604999999999999,4,3.3359375,"Non C.",16.103538436106035,4.8243221264342262]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X3X1/8",8.1490396388726047,7,3,0.125,4.93,22.9,3.95,18.89833333333333,15.141666666666667,3,3.6171875,"Compact",18.89833333333333,4.1108734522192627]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X2X1/8",{"$f":"VLOOKUP($E82,StlSects,4)","v":8.1490396388726047},{"$f":"VLOOKUP($E82,StlSects,7)","v":8},{"$f":"VLOOKUP($E82,StlSects,10)","v":2},{"$f":"VLOOKUP($E82,StlSects,15)","v":0.125},{"$f":"VLOOKUP($E82,StlSects,31)","v":5.19},{"$f":"VLOOKUP($E82,StlSects,26)","v":14.2},{"$f":"VLOOKUP($E82,StlSects,32)","v":3.93},{"$f":"+J82*B$7/12","v":19.895},{"$f":"L82*B$7/12","v":15.065},{"$f":"MIN(1.92*I82*SQRT(29000/B$7)*(1-0.38*SQRT(29000/B$7)/K82),H82)","v":1.9770409012711492},{"$f":"+O82*(G82^2)/6-(O82-2*I82)*((G82-2*I82)^2)/6","v":3.8000372581258581},{"$f":"IF(K82<=E$13,\"Compact\",IF(K82<=H$13,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"IF(K82<=E$13,M82,IF(K82<=H$13,MIN(M82-(M82-N82)*(3.57*K82*SQRT(B$7/29000)-4),M82),P82*B$7/12))","v":19.895},{"$f":"+C82/R82","v":3.9049337417034611}]
[null,{"$f":"+B82","v":69.919791112071323},{"$f":"+C82","v":77.688656791190354},{"$f":"+D82","v":20.266606119440961},"HSS2-1/2X2-1/2X5/16",8.3983945487708098,2.5,2.5,0.3125,1.88,5.59,1.46,7.2066666666666661,5.5966666666666667,-10.648542812753218,-4.4866406047703462,"Compact",7.2066666666666661,10.780109638000512]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X2X5/16",8.4074867709930334,3,2,0.3125,2.11,3.87,1.59,8.0883333333333329,6.0949999999999998,-22.076817941736135,-11.773153274669969,"Compact",8.0883333333333329,9.6050265968914523]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X3X1/4",8.7780157475623781,3,3,0.25,2.48,9.8800000000000008,2.0099999999999998,9.5066666666666659,7.7049999999999992,0.41326499534459932,0.71024645619960802,"Compact",9.5066666666666659,8.1720185965487762]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X2X1/4",8.7780157475623781,4,2,0.25,2.94,5.58,2.25,11.270000000000001,8.625,-8.5556996538444547,-4.3264789503194514,"Compact",11.270000000000001,6.8934034419867212]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X2-1/2X3/16",8.7858108541300304,5,2.5,0.1875,3.79,11.4,3.01,14.528333333333334,11.538333333333332,1.4738283451706558,2.2235139263917225,"Compact",14.528333333333334,5.3473894774250557]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5-1/2X5-1/2X1/8",8.9997340833170494,5.5,5.5,0.125,4.95,44.4,4.3,18.975000000000001,16.483333333333331,4.7310833699492578,3.2675685927897717,"Slend.",12.525679605694124,6.2023506298112077]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X5X1/8",8.9997340833170494,6,5,0.125,5.24,40.1,4.4800000000000004,20.08666666666667,17.173333333333336,4.5922237036039588,3.6258803548894356,"Slend.",13.89920802707617,5.5894304653797526]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X4X1/8",8.9997340833170494,7,4,0.125,5.73,31.5,4.7300000000000004,21.965000000000003,18.131666666666668,4,4.1901041666666643,"Non C.",20.129717914808051,3.8594011659766054]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X3X1/8",8.9997340833170494,8,3,0.125,6.11,22.9,4.83,23.421666666666667,18.515000000000001,3,4.4713541666666679,"Compact",23.421666666666667,3.316956811692465]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X4X3/16",9.4030475207966973,4,4,0.1875,3.67,20,3.1,14.068333333333333,11.883333333333333,4,2.7275390624999991,"Compact",14.068333333333333,5.5222359998476733]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X3X3/16",9.4255330763522522,5,3,0.1875,4.21,14.2,3.41,16.138333333333332,13.071666666666667,2.9655613519067234,3.1208845632563893,"Compact",16.138333333333332,4.8139206934539107]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X2X3/16",9.4255330763522522,6,2,0.1875,4.58,8.49,3.49,17.556666666666668,13.378333333333336,-1.1191966970785365,1.1643727122788761,"Compact",17.556666666666668,4.425023170183616]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X2-1/2X5/16",9.4725562154374785,3,2.5,0.3125,2.5099999999999998,5.59,1.94,9.6216666666666661,7.4366666666666665,-10.648542812753218,-5.3745096477654748,"Compact",9.6216666666666661,8.0743450675063606]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X2-1/2X1/4",9.628710192006821,4,2.5,0.25,3.38,7.73,2.66,12.956666666666665,10.196666666666667,-2.8239162945955645,-0.74411435078889454,"Compact",12.956666666666665,5.9960373134440719]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X2X1/8",9.850428527761494,10,2,0.125,7.65,14.2,5.7,29.325000000000003,21.849999999999998,1.9770409012711492,5.5878774083377145,"Compact",29.325000000000003,2.6492295580968577]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X6X1/8",9.850428527761494,6,6,0.125,5.92,48.7,5.15,22.693333333333332,19.741666666666667,4.8454216167756758,3.7498418332130932,"Slend.",14.374393693983523,5.4046562550813775]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X5X1/8",9.850428527761494,7,5,0.125,6.53,40.1,5.52,25.031666666666666,21.16,4.5922237036039588,4.529398996856429,"Slend.",17.362696154616312,4.4744581198315139]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X4X1/8",9.850428527761494,8,4,0.125,7.02,31.5,5.73,26.909999999999997,21.965000000000003,4,5.1276041666666643,"Non C.",24.542486110102381,3.1654762456689953]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X3-1/2X1/4",10.479404636451266,3.5,3.5,0.25,3.5,12,2.88,13.416666666666666,11.04,2.4694522863144983,2.0876199884203528,"Compact",13.416666666666666,5.7904588912688464]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X3X1/4",10.479404636451266,4,3,0.25,3.81,9.8800000000000008,3.07,14.604999999999999,11.768333333333333,0.41326499534459932,1.2791239554237079,"Compact",14.604999999999999,5.319319191454321]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X2X1/4",10.479404636451266,5,2,0.25,4.2699999999999996,5.58,3.23,16.368333333333332,12.381666666666668,-8.5556996538444547,-5.0857622259601989,"Compact",16.368333333333332,4.7462777797285627]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X3X5/16",10.525130659881922,3,3,0.3125,2.9,7.31,2.2999999999999998,11.116666666666667,8.8166666666666664,-4.5982795091740307,-1.9869924335219196,"Compact",11.116666666666667,6.988484868772745]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X2X5/16",10.537625659881924,4,2,0.3125,3.43,3.87,2.56,13.148333333333333,9.8133333333333344,-22.076817941736135,-15.773532012531675,"Compact",13.148333333333333,5.9086315217029046]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4-1/2X4-1/2X3/16",10.679089187463363,4.5,4.5,0.1875,4.71,22.9,4.01,18.055,15.371666666666664,4.5,3.4892578125,"Compact",18.055,4.3028887727050877]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3X1/8",10.701122972205939,10,3,0.125,8.8000000000000007,22.9,6.83,33.733333333333334,26.181666666666668,3,6.4296875,"Compact",33.733333333333334,2.3030234226637458]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X4X3/16",10.704977520796696,5,4,0.1875,5.05,20,4.22,19.358333333333331,16.176666666666666,4,3.7431640625000018,"Compact",19.358333333333331,4.0131893305823692]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X3X3/16",10.704977520796696,6,3,0.1875,5.59,14.2,4.47,21.428333333333331,17.134999999999998,2.9655613519067234,4.1322047322447286,"Compact",21.428333333333331,3.6255109337103693]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X2X3/16",10.704977520796696,7,2,0.1875,5.95,8.49,4.49,22.808333333333334,17.21166666666667,-1.1191966970785365,1.7900981251440591,"Compact",22.808333333333334,3.4061522889816742]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3-1/2X1/8",11.12647019442816,10,3.5,0.125,9.3699999999999992,27.2,7.4,35.918333333333329,28.366666666666671,3.5,6.8411458333333357,"Compact",35.918333333333329,2.1629248793426856]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X2-1/2X1/4",11.33009908089571,5,2.5,0.25,4.83,7.73,3.76,18.515000000000001,14.413333333333332,-2.8239162945955645,-0.5481003998881544,"Compact",18.515000000000001,4.195984703818004]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X4X1/8",11.551817416650383,10,4,0.125,10,31.5,7.97,38.333333333333336,30.551666666666666,4,7.2526041666666714,"Non C.",34.607710700393675,2.2448366337709422]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X7X1/8",{"$f":"VLOOKUP($E114,StlSects,4)","v":11.551817416650383},{"$f":"VLOOKUP($E114,StlSects,7)","v":7},{"$f":"VLOOKUP($E114,StlSects,10)","v":7},{"$f":"VLOOKUP($E114,StlSects,15)","v":0.125},{"$f":"VLOOKUP($E114,StlSects,31)","v":8.1300000000000008},{"$f":"VLOOKUP($E114,StlSects,26)","v":57.3},{"$f":"VLOOKUP($E114,StlSects,32)","v":7.09},{"$f":"+J114*B$7/12","v":31.165000000000003},{"$f":"L114*B$7/12","v":27.178333333333331},{"$f":"MIN(1.92*I114*SQRT(29000/B$7)*(1-0.38*SQRT(29000/B$7)/K114),H114)","v":5.0226159678783961},{"$f":"+O114*(G114^2)/6-(O114-2*I114)*((G114-2*I114)^2)/6","v":4.7759778982636689},{"$f":"IF(K114<=E$13,\"Compact\",IF(K114<=H$13,\"Non C.\",\"Slend.\"))","v":"Slend."},18.307915276677395,{"$f":"+C114/R114","v":4.2434463791821546}]
[null,{"$f":"+B114","v":69.919791112071323},{"$f":"+C114","v":77.688656791190354},{"$f":"+D114","v":20.266606119440961},"HSS4X2-1/2X5/16",11.602695104326369,4,2.5,0.3125,3.97,5.59,3.07,15.218333333333334,11.768333333333333,-10.648542812753218,-6.9939977337557302,"Compact",15.218333333333334,5.1049385691287057]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X5X3/16",11.955130854130029,5,5,0.1875,5.89,25.7,5.03,22.578333333333333,19.28166666666667,5,4.3447265625,"Compact",22.578333333333333,3.4408499353889579]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X4X3/16",11.984421965241141,6,4,0.1875,6.6,20,5.46,25.299999999999997,20.93,4,4.8837890625,"Compact",25.299999999999997,3.0706978968849947]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X3X3/16",11.984421965241141,7,3,0.1875,7.14,14.2,5.65,27.37,21.658333333333335,2.9655613519067234,5.2685249012330679,"Compact",27.37,2.8384602408180619]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X2X3/16",11.984421965241141,8,2,0.1875,7.51,8.49,5.61,28.78833333333333,21.504999999999999,-1.1191966970785365,2.5408235380092421,"Compact",28.78833333333333,2.6986159945993293]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3X3X3/8",12.093293169415546,3,3,0.375,3.25,5.6,2.52,12.458333333333334,9.66,-12.723150763074839,-7.7167551882678627,"Compact",12.458333333333334,6.2358788059818338]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X2X3/8",12.093293169415546,4,2,0.375,3.84,2.73,2.8,14.719999999999999,10.733333333333333,-45.103943882998387,-39.555136643967302,"Compact",14.719999999999999,5.2777620102710845]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X4X1/4",12.180793525340155,4,4,0.25,4.6900000000000004,14.2,3.9,17.978333333333335,14.950000000000001,3.9540818025422984,3.4921344599222683,"Compact",17.978333333333335,4.3212379785588402]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X3X1/4",12.180793525340155,5,3,0.25,5.38,9.8800000000000008,4.29,20.623333333333331,16.445,0.41326499534459932,2.0146681213144744,"Compact",20.623333333333331,3.767027159747391]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X2X1/4",12.180793525340155,6,2,0.25,5.84,5.58,4.37,22.386666666666667,16.751666666666669,-8.5556996538444547,-5.6783788349342714,"Compact",22.386666666666667,3.4703092670275622]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X3-1/2X5/16",12.651866770993035,3.5,3.5,0.3125,4.1399999999999997,9.0299999999999994,3.34,15.87,12.803333333333333,-0.85287841648214913,0.29463803072148975,"Compact",15.87,4.8953154877876726]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X3X5/16",12.667764548770812,4,3,0.3125,4.51,7.31,3.57,17.28833333333333,13.685,-4.5982795091740307,-2.3460089979331737,"Compact",17.28833333333333,4.4937042393438951]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X2X5/16",12.667764548770812,5,2,0.3125,5.05,3.87,3.74,19.358333333333331,14.336666666666668,-22.076817941736135,-19.565577417060041,"Compact",19.358333333333331,4.0131893305823692]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5-1/2X5-1/2X3/16",13.231172520796697,5.5,5.5,0.1875,7.19,28.6,6.17,27.561666666666667,23.651666666666667,5.5,5.2939453125,"Non C.",27.301893682881918,2.8455409611348887]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X8X1/8",13.253206305539271,8,8,0.125,10.7,66,9.34,41.016666666666666,35.803333333333335,5.1548842459240474,5.8854969530543215,"Slend.",22.561071653374899,3.4434825607926718]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X5X3/16",13.263866409685585,6,5,0.1875,7.62,25.7,6.44,29.209999999999997,24.686666666666667,5,5.6103515625,"Compact",29.209999999999997,2.6596595957271605]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X4X3/16",13.263866409685585,7,4,0.1875,8.33,20,6.81,31.931666666666668,26.105,4,6.1494140624999964,"Compact",31.931666666666668,2.432965920701196]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X3X3/16",13.263866409685585,8,3,0.1875,8.8699999999999992,14.2,6.94,34.001666666666665,26.603333333333335,2.9655613519067234,6.529845070221409,"Compact",34.001666666666665,2.2848484914815064]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X2-1/2X3/8",13.369334836082214,4,2.5,0.375,4.4800000000000004,4.16,3.38,17.173333333333336,12.956666666666665,-23.38511922939113,-19.872451801635712,"Compact",17.173333333333336,4.5237960088037852]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4-1/2X4-1/2X1/4",13.882182414229042,4.5,4.5,0.25,6.06,16.3,5.08,23.23,19.473333333333333,4.5,4.5208333333333339,"Compact",23.23,3.344324442151974]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X4X1/4",13.882182414229042,5,4,0.25,6.49,14.2,5.35,24.878333333333334,20.508333333333333,3.9540818025422984,4.8178147603459855,"Compact",24.878333333333334,3.1227436239508415]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X3X1/4",13.882182414229042,6,3,0.25,7.19,9.8800000000000008,5.66,27.561666666666667,21.696666666666669,0.41326499534459932,2.9168789538719078,"Compact",27.561666666666667,2.8187212961670323]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X2X1/2",13.882182414229042,7,2,0.5,7.64,5.58,5.67,29.286666666666665,21.734999999999999,-17.111399307688909,-31.074698499992635,"Compact",29.286666666666665,2.652697136052482]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X6X3/16",14.507214187463363,6,6,0.1875,8.6300000000000008,31.5,7.42,33.081666666666671,28.443333333333332,6,6.3369140625,"Non C.",30.860975343584407,2.517375291164957]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X2X3/16",14.543310854130031,10,2,0.1875,11.1,8.49,8.19,42.55,31.394999999999996,-1.1191966970785365,4.4172743637396046,"Compact",42.55,1.8258203711208074]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X5X3/16",14.543310854130031,7,5,0.1875,9.52,25.7,7.96,36.493333333333332,30.513333333333335,5,7.0009765625,"Compact",36.493333333333332,2.1288451806135464]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X4X3/16",14.543310854130031,8,4,0.1875,10.199999999999999,20,8.27,39.1,31.701666666666664,4,7.5400390625,"Compact",39.1,1.9869221685726433]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X3X3/16",14.543310854130031,9,3,0.1875,10.8,14.2,8.35,41.4,32.008333333333333,2.9655613519067234,7.9161652392097537,"Compact",41.4,1.876537603651941]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS3-1/2X3-1/2X3/8",14.64537650274888,3.5,3.5,0.375,4.6900000000000004,7.03,3.71,17.978333333333335,14.221666666666666,-6.4577487150640929,-4.0998036836438239,"Compact",17.978333333333335,4.3212379785588402]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X3X3/8",14.64537650274888,4,3,0.375,5.12,5.6,3.97,19.626666666666669,15.218333333333334,-12.723150763074839,-10.210042879036575,"Compact",19.626666666666669,3.9583215077033125]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X2X3/8",14.64537650274888,5,2,0.375,5.71,2.73,4.1399999999999997,21.888333333333335,15.87,-45.103943882998387,-49.89362261471689,"Compact",21.888333333333335,3.5493180594467533]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X4X5/16",{"$f":"VLOOKUP($E146,StlSects,4)","v":14.778602882104146},{"$f":"VLOOKUP($E146,StlSects,7)","v":4},{"$f":"VLOOKUP($E146,StlSects,10)","v":4},{"$f":"VLOOKUP($E146,StlSects,15)","v":0.3125},{"$f":"VLOOKUP($E146,StlSects,31)","v":5.59},{"$f":"VLOOKUP($E146,StlSects,26)","v":10.7},{"$f":"VLOOKUP($E146,StlSects,32)","v":4.57},{"$f":"+J146*B$7/12","v":21.428333333333331},{"$f":"L146*B$7/12","v":17.518333333333334},{"$f":"MIN(1.92*I146*SQRT(29000/B$7)*(1-0.38*SQRT(29000/B$7)/K146),H146)","v":1.6315126354225808},{"$f":"+O146*(G146^2)/6-(O146-2*I146)*((G146-2*I146)^2)/6","v":2.4398990298168259},{"$f":"IF(K146<=E$13,\"Compact\",IF(K146<=H$13,\"Non C.\",\"Slend.\"))","v":"Compact"},{"$f":"IF(K146<=E$13,M146,IF(K146<=H$13,MIN(M146-(M146-N146)*(3.57*K146*SQRT(B$7/29000)-4),M146),P146*B$7/12))","v":21.428333333333331},{"$f":"+C146/R146","v":3.6255109337103693}]
[null,{"$f":"+B146","v":69.919791112071323},{"$f":"+C146","v":77.688656791190354},{"$f":"+D146","v":20.266606119440961},"HSS5X3X5/16",14.7979034376597,5,3,0.3125,6.42,7.31,5.03,24.61,19.28166666666667,-4.5982795091740307,-2.4966922290110958,"Compact",24.61,3.1567922304425173]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X2X5/16",14.7979034376597,6,2,0.3125,6.95,3.87,5.1100000000000003,26.641666666666666,19.588333333333335,-22.076817941736135,-23.149289488255036,"Compact",26.641666666666666,2.9160584344519371]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X9X1/8",14.95459519442816,9,9,0.125,13.6,74.599999999999994,11.9,52.133333333333333,45.616666666666667,5.2553112929416059,7.0768448104047295,"Slend.",27.127905106551463,2.8637912321666272]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X5X1/4",15.583571303117932,5,5,0.25,7.61,18.5,6.41,29.171666666666667,24.571666666666669,5,5.6458333333333321,"Compact",29.171666666666667,2.6631545492038056]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X4X1/4",15.583571303117932,6,4,0.25,8.5299999999999994,14.2,6.96,32.698333333333331,26.680000000000003,3.9540818025422984,6.3101617274363697,"Compact",32.698333333333331,2.3759209987621293]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X3X1/4",15.583571303117932,7,3,0.25,9.2200000000000006,9.8800000000000008,7.19,35.343333333333334,27.561666666666667,0.41326499534459932,3.9857564530960077,"Compact",35.343333333333334,2.1981134619784122]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X2X1/4",15.583571303117932,8,2,0.25,9.68,5.58,7.12,37.106666666666662,27.293333333333333,-8.5556996538444547,-6.3636120528824165,"Compact",37.106666666666662,2.093657656967042]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3X3/16",15.822755298574476,10,3,0.1875,12.8,14.2,9.8699999999999992,49.06666666666667,37.835000000000001,2.9655613519067234,9.4274854081980948,"Compact",49.06666666666667,1.5833286030813249]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3-1/2X3/16",16.4624775207967,10,3.5,0.1875,13.7,17.100000000000001,10.7,52.516666666666659,41.016666666666666,3.5,10.0830078125,"Compact",52.516666666666659,1.4793143152876618]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4-1/2X4-1/2X5/16",16.905338993215253,4.5,4.5,0.3125,7.27,12.5,6,27.868333333333329,23,3.565945792675731,4.6750438555895064,"Compact",27.868333333333329,2.7877037303220034]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X4X5/16",16.928042326548585,5,4,0.3125,7.79,10.7,6.32,29.861666666666665,24.22666666666667,1.6315126354225808,3.5870891621965311,"Compact",29.861666666666665,2.6016182438306759]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X3X5/16",16.928042326548585,6,3,0.3125,8.61,7.31,6.69,33.004999999999995,25.645,-4.5982795091740307,-2.439042126755691,"Compact",33.004999999999995,2.353845077751564]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X7X3/16",17.059297520796697,7,7,0.1875,11.9,37.200000000000003,10.3,{"$f":"+J159*B$7/12","v":45.616666666666667},{"$f":"L159*B$7/12","v":39.483333333333334},{"$f":"MIN(1.92*I159*SQRT(29000/B$7)*(1-0.38*SQRT(29000/B$7)/K159),H159)","v":6.7206726649462514},{"$f":"+O159*(G159^2)/6-(O159-2*I159)*((G159-2*I159)^2)/6","v":8.4662368787432882},{"$f":"IF(K159<=E$13,\"Compact\",IF(K159<=H$13,\"Non C.\",\"Slend.\"))","v":"Slend."},32.4539080351826,{"$f":"+C159/R159","v":2.3938151518445703}]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X4X3/16",17.102199743018918,10,4,0.1875,14.6,20,11.6,55.966666666666669,44.466666666666669,4,10.696289062500007,"Compact",55.966666666666669,1.3881237068110248]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X2X3/16",17.102199743018918,12,2,0.1875,15.5,8.49,11.2,59.416666666666664,42.93333333333333,-1.1191966970785365,6.7937251894699742,"Compact",59.416666666666664,1.3075229754478039]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X6X3/16",17.102199743018918,8,6,0.1875,13,31.5,10.9,49.833333333333336,41.783333333333339,6,9.4931640625,"Non C.",45.979240954430239,1.6896463529745334]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X5X3/16",17.102199743018918,9,5,0.1875,13.8,25.7,11.4,52.900000000000006,43.699999999999996,5,10.1572265625,"Compact",52.900000000000006,1.4685946463363013]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X4X3/8",17.197459836082214,4,4,0.375,6.39,8.4600000000000009,5.13,24.495000000000001,19.664999999999999,-2.3104376667354649,-0.77352163547901576,"Compact",24.495000000000001,3.1716128512427169]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X3X3/8",17.197459836082214,5,3,0.375,7.34,5.6,5.65,28.136666666666667,21.658333333333335,-12.723150763074839,-12.453330569805274,"Compact",28.136666666666667,2.7611179999238367]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X2X3/8",17.197459836082214,6,2,0.375,7.93,2.73,5.71,30.39833333333333,21.888333333333335,-45.103943882998387,-59.982108585466477,"Compact",30.39833333333333,2.555688035238457]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5-1/2X5-1/2X1/4",17.284960192006821,5.5,5.5,0.25,9.32,20.6,7.9,35.726666666666667,30.283333333333335,5.5,6.8958333333333357,"Compact",35.726666666666667,2.1745285535880861]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X5X1/4",17.284960192006821,6,5,0.25,9.8699999999999992,18.5,8.25,37.835000000000001,31.625,5,7.3125,"Compact",37.835000000000001,2.0533542167620022]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X4X1/4",17.284960192006821,7,4,0.25,10.8,14.2,8.7200000000000006,41.4,33.426666666666669,3.9540818025422984,7.9691753611934217,"Compact",41.4,1.876537603651941]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X3X1/4",17.284960192006821,8,3,0.25,11.5,9.8800000000000008,8.8800000000000008,44.083333333333336,34.04,0.41326499534459932,5.2213006189867741,"Compact",44.083333333333336,1.7623135756035617]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X5X3/16",18.381644187463365,10,5,0.1875,16.3,25.7,13.2,62.483333333333341,50.599999999999994,5,11.9228515625,"Compact",62.483333333333341,1.2433500686773595]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X3X3/16",18.381644187463365,12,3,0.1875,17.5,14.2,13.3,67.083333333333329,50.983333333333341,2.9655613519067234,12.82512574617477,"Compact",67.083333333333329,1.1580917782537694]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X2X1/4",18.98634908089571,10,2,0.25,14.4,5.58,10.5,55.199999999999996,40.25,-8.5556996538444547,-6.3821786041639257,"Compact",55.199999999999996,1.4074032027389558]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X6X1/4",18.98634908089571,6,6,0.25,11.2,22.8,9.5399999999999991,42.93333333333333,36.57,6,8.2708333333333321,"Compact",42.93333333333333,1.8095184035215146]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X5X1/4",18.98634908089571,7,5,0.25,12.4,18.5,10.199999999999999,47.533333333333331,39.1,5,9.1458333333333357,"Compact",47.533333333333331,1.6344037193097551]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X4X1/4",18.98634908089571,8,4,0.25,13.3,14.2,10.6,50.983333333333341,40.633333333333333,3.9540818025422984,9.7948556616171345,"Compact",50.983333333333341,1.5238049713865383]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X3X1/4",18.98634908089571,9,3,0.25,14,9.8800000000000008,10.7,53.666666666666664,41.016666666666666,0.41326499534459932,6.6235114515442071,"Compact",53.666666666666664,1.4476147228172116]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X5X5/16",19.032075104326363,5,5,0.3125,9.16,14.2,7.62,35.113333333333337,29.209999999999997,4.9426022531778733,6.8205751170356823,"Compact",35.113333333333337,2.212511585091808]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X4X5/16",19.058181215437475,6,4,0.3125,10.3,10.7,8.27,39.483333333333334,31.701666666666664,1.6315126354225808,4.9426126279095675,"Compact",39.483333333333334,1.9676316620816467]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X3X5/16",19.058181215437475,7,3,0.3125,11.1,7.31,8.5399999999999991,42.55,32.736666666666665,-4.5982795091740307,-2.1730586911669434,"Compact",42.55,1.8258203711208074]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X2X5/16",19.058181215437475,8,2,0.3125,11.6,3.87,8.43,44.466666666666669,32.314999999999998,-22.076817941736135,-29.691713630645125,"Compact",44.466666666666669,1.7471212171931862]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X8X3/16",19.611380854130029,8,8,0.1875,15.7,43,13.6,60.18333333333333,52.133333333333333,7.0333834513385023,10.502327589197748,"Slend.",40.258922425258028,1.9297251916124138]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X6X3/16",19.661088631907809,10,6,0.1875,18,31.5,14.9,69,57.116666666666667,6,13.1494140625,"Non C.",63.310625535904947,1.2271029725828768]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X4X3/16",19.661088631907809,12,4,0.1875,19.600000000000001,20,15.3,75.13333333333334,58.650000000000006,4,14.3525390625,"Compact",75.13333333333334,1.0340105162980082]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X7X3/16",19.661088631907809,9,7,0.1875,16.899999999999999,37.200000000000003,14.4,64.783333333333331,55.199999999999996,6.7206726649462514,12.052655044979858,"Slend.",46.201844339089455,1.6815055308400582]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4-1/2X4-1/2X3/8",19.749543169415549,4.5,4.5,0.375,8.36,9.89,6.79,32.04666666666666,26.028333333333332,0.63754986306738559,2.415285796288241,"Compact",32.04666666666666,2.4242351817513117]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X4X3/8",19.749543169415549,5,4,0.375,8.9600000000000009,8.4600000000000009,7.17,34.346666666666671,27.484999999999999,-2.3104376667354649,-0.41363105216288076,"Compact",34.346666666666671,2.2618980044018926]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X3X3/8",19.749543169415549,6,3,0.375,9.9,5.6,7.57,37.950000000000003,29.018333333333334,-12.723150763074839,-14.446618260573992,"Compact",37.950000000000003,2.0471319312566627]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3X1/4",20.687737969784596,10,3,0.25,16.7,9.8800000000000008,12.7,64.016666666666666,48.68333333333333,0.41326499534459932,8.1923889507683079,"Compact",64.016666666666666,1.2135692287090396]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5-1/2X5-1/2X5/16",21.158811215437474,5.5,5.5,0.3125,11.3,15.9,9.43,43.31666666666667,36.148333333333333,5.5,8.4195963541666679,"Compact",43.31666666666667,1.7935049663222089]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X5X5/16",21.188320104326365,6,5,0.3125,11.9,14.2,9.85,45.616666666666667,37.758333333333333,4.9426022531778733,8.8659089197810772,"Compact",45.616666666666667,1.7030761444908371]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X4X5/16",21.188320104326365,7,4,0.3125,13.1,10.7,10.4,50.216666666666669,39.866666666666667,1.6315126354225808,6.50646942695594,"Compact",50.216666666666669,1.5470691694229741]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X3X5/16",21.188320104326365,8,3,0.3125,13.9,7.31,10.6,53.283333333333331,40.633333333333333,-4.5982795091740307,-1.6987419222448636,"Compact",53.283333333333331,1.4580292172259686]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4X4X1/2",21.498316535680594,4,4,0.5,7.7,5.6,5.97,29.516666666666666,22.885000000000002,-16.964201017433119,-18.291567853671975,"Compact",29.516666666666666,2.6320267687585668]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X3X1/2",21.498316535680594,5,3,0.5,8.83,3.45,6.57,33.848333333333336,25.185000000000002,-42.55750374495134,-61.169588950760314,"Compact",33.848333333333336,2.2951988810238912]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3-1/2X1/4",21.538432414229042,10,3.5,0.25,17.899999999999999,12,13.8,68.61666666666666,52.900000000000006,2.4694522863144983,11.53369329859439,"Compact",68.61666666666666,1.1322126323710036]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X4X3/16",22.118253520796696,14,4,0.1875,25.3,20,19.5,96.983333333333334,74.75,4,18.508789062499986,"Compact",96.983333333333334,0.80105162527434637]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X9X3/16",22.163464187463362,9,9,0.1875,20,48.7,17.399999999999999,76.666666666666671,66.7,7.2681324251635138,12.655716187094185,"Slend.",48.513578717194378,1.6013796311352233]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X8X3/16",22.2199775207967,10,8,0.1875,21.4,43,18.3,82.033333333333331,70.150000000000006,7.0333834513385023,14.416923452032364,"Slend.",55.264873232790727,1.4057511081938889]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X6X3/16",22.2199775207967,12,6,0.1875,23.7,31.5,19.399999999999999,90.850000000000009,74.36666666666666,6,17.3056640625,"Non C.",82.958287033674608,0.93647855529676982]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X5X3/8",22.301626502748881,5,5,0.375,10.6,11.3,8.68,40.633333333333333,33.273333333333333,2.8137590373978729,5.5112213869912923,"Compact",40.633333333333333,1.9119439735321662]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X4X3/8",22.301626502748881,6,4,0.375,11.9,8.4600000000000009,9.43,45.616666666666667,36.148333333333333,-2.3104376667354649,0.19625953115325245,"Compact",45.616666666666667,1.7030761444908371]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X3X3/8",22.301626502748881,7,3,0.375,12.8,5.6,9.73,49.06666666666667,37.298333333333339,-12.723150763074839,-16.189905951342709,"Compact",49.06666666666667,1.5833286030813249]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X2X3/8",22.301626502748881,8,2,0.375,13.4,2.73,9.56,51.366666666666667,36.646666666666668,-45.103943882998387,-79.409080526965681,"Compact",51.366666666666667,1.5124332924955941]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X4X1/4",22.389126858673485,10,4,0.25,19,14.2,14.9,72.833333333333329,57.116666666666667,3.9540818025422984,13.946216262464574,"Compact",72.833333333333329,1.066663479970577]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X2X1/4",22.389126858673485,12,2,0.25,20.100000000000001,5.58,14.5,77.05,55.583333333333336,-8.5556996538444547,-5.7340784887787493,"Compact",77.05,1.0082888616637296]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X7X1/4",22.389126858673485,7,7,0.25,15.5,27,13.3,59.416666666666664,50.983333333333341,7,11.395833333333329,"Compact",59.416666666666664,1.3075229754478039]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X6X1/4",22.389126858673485,8,6,0.25,16.899999999999999,22.8,14.2,64.783333333333331,54.43333333333333,6,12.4375,"Compact",64.783333333333331,1.1992074626888143]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X5X1/4",22.389126858673485,9,5,0.25,18.100000000000001,18.5,14.7,69.38333333333334,56.349999999999994,5,13.3125,"Compact",69.38333333333334,1.1197019955492242]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X6X5/16",{"$f":"VLOOKUP($E210,StlSects,4)","v":23.285547326548585},{"$f":"VLOOKUP($E210,StlSects,7)","v":6},{"$f":"VLOOKUP($E210,StlSects,10)","v":6},{"$f":"VLOOKUP($E210,StlSects,15)","v":0.3125},{"$f":"VLOOKUP($E210,StlSects,31)","v":13.6},{"$f":"VLOOKUP($E210,StlSects,26)","v":17.600000000000001},{"$f":"VLOOKUP($E210,StlSects,32)","v":11.4},52.133333333333333,43.699999999999996,6,10.118815104166668,"Compact",{"$f":"IF(K210<=E$13,M210,IF(K210<=H$13,MIN(M210-(M210-N210)*(3.57*K210*SQRT(B$7/29000)-4),M210),P210*B$7/12))","v":52.133333333333333},1.4901916264294826]
[null,{"$f":"+B210","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS10X2X5/16",23.318458993215252,10,2,0.3125,17.5,3.87,12.5,67.083333333333329,47.916666666666664,-22.076817941736135,-35.400804439701858,"Compact",67.083333333333329,1.1580917782537694]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X5X5/16",23.318458993215252,7,5,0.3125,15,14.2,12.3,57.5,47.150000000000006,4.9426022531778733,11.119576055859792,"Compact",57.5,1.3511070746293974]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X4X5/16",23.318458993215252,8,4,0.3125,16.100000000000001,10.7,12.8,61.716666666666669,49.06666666666667,1.6315126354225808,8.278659559335642,"Compact",61.716666666666669,1.2587954111454014]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X3X5/16",23.318458993215252,9,3,0.3125,16.899999999999999,7.31,12.8,64.783333333333331,49.06666666666667,-4.5982795091740307,-1.0160918199894553,"Compact",64.783333333333331,1.1992074626888143]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X5X1/4",24.090515747562375,10,5,0.25,21.3,18.5,17.2,81.650000000000006,65.933333333333323,5,15.645833333333329,"Compact",81.650000000000006,0.9514838553728151]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X3X1/4",24.090515747562375,12,3,0.25,22.9,9.8800000000000008,17.2,87.783333333333317,65.933333333333323,0.41326499534459932,11.830143949216508,"Compact",87.783333333333317,0.88500463403672336]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X6X3/16",24.664892409685585,14,6,0.1875,30.1,31.5,24.3,115.38333333333334,93.149999999999991,6,21.9619140625,"Non C.",104.73869723922002,0.74173785657990199]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X4X3/16",24.664892409685585,14,4,0.1875,31.7,20,24.2,121.51666666666667,92.766666666666666,4,18.508789062499986,"Compact",121.51666666666667,0.63932511417794835]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X10X3/16",24.715547520796697,10,10,0.1875,24.8,54.5,21.6,95.066666666666663,82.8,7.4565965940737273,14.936020822418541,"Slend.",57.254746485937744,1.3568946080351845]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X8X3/16",24.778866409685588,12,8,0.18779999999999999,27.8,43,23.4,106.56666666666666,89.699999999999989,7.0446368648606441,18.877154856339416,"Slend.",72.362426949301096,1.0736049088793131]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5-1/2X5-1/2X3/8",24.853709836082217,5.5,5.5,0.375,13.1,12.8,10.8,50.216666666666669,41.4,4.6025479946891386,8.7173271181954597,"Compact",50.216666666666669,1.5470691694229741]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X5X3/8",24.853709836082217,6,5,0.375,13.8,11.3,11.3,52.900000000000006,43.31666666666667,2.8137590373978729,7.4021611463407595,"Compact",52.900000000000006,1.4685946463363013]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X4X3/8",24.853709836082217,7,4,0.375,15.1,8.4600000000000009,11.9,{"$f":"+J223*B$7/12","v":57.883333333333333},{"$f":"L223*B$7/12","v":45.616666666666667},{"$f":"MIN(1.92*I223*SQRT(29000/B$7)*(1-0.38*SQRT(29000/B$7)/K223),H223)","v":-2.3104376667354649},{"$f":"+O223*(G223^2)/6-(O223-2*I223)*((G223-2*I223)^2)/6","v":1.0561501144693857},{"$f":"IF(K223<=E$13,\"Compact\",IF(K223<=H$13,\"Non C.\",\"Slend.\"))","v":"Compact"},57.883333333333333,{"$f":"+C223/R223","v":1.3421593456583418}]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X3X3/8",24.853709836082217,8,3,0.375,16.100000000000001,5.6,12.1,61.716666666666669,46.383333333333333,-12.723150763074839,-17.683193642111405,"Compact",61.716666666666669,1.2587954111454014]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS4-1/2X4-1/2X1/2",24.901094313458373,4.5,4.5,0.5,10.199999999999999,6.68,8.0299999999999994,39.1,30.781666666666666,-10.324412271942734,-11.724216362590315,"Compact",39.1,1.9869221685726433]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X4X1/2",24.901094313458373,5,4,0.5,10.9,5.6,8.49,41.783333333333339,32.545000000000002,-16.964201017433119,-22.779634859483011,"Compact",41.783333333333339,1.859321662334033]
[null,{"$f":"+B226","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS6X3X1/2",24.901094313458373,6,3,0.5,12.1,3.45,8.9499999999999993,46.383333333333333,34.30833333333333,-42.55750374495134,-73.855423532410811,"Compact",46.383333333333333,1.6749261255736332]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3X5/16",25.448597882104142,10,3,0.3125,20.3,7.31,15.3,77.816666666666677,58.650000000000006,-4.5982795091740307,-0.12510838440070415,"Compact",77.816666666666677,0.99835498125324917]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X6X1/4",25.791904636451264,10,6,0.25,23.6,22.8,19.399999999999999,90.466666666666683,74.36666666666666,6,17.270833333333329,"Compact",90.466666666666683,0.85875449658648129]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X4X1/4",25.791904636451264,12,4,0.25,25.6,14.2,19.899999999999999,98.13333333333334,76.283333333333331,3.9540818025422984,18.764243529978671,"Compact",98.13333333333334,0.79166430154066247]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X8X1/4",25.791904636451264,8,8,0.25,20.5,31.3,17.7,78.583333333333329,67.849999999999994,8,15.020833333333329,"Non C.",73.749763324458542,1.0534088963703225]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X7X1/4",25.791904636451264,9,7,0.25,22.2,27,18.7,85.1,71.683333333333323,7,16.229166666666671,"Compact",85.1,0.91291018556040371]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3-1/2X5/16",26.513667326548585,10,3.5,0.3125,21.7,9.0299999999999994,16.600000000000001,83.183333333333323,63.633333333333333,-0.85287841648214913,7.433969341735251,"Compact",83.183333333333323,0.93394498246271729]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X2X3/8",27.405793169415549,10,2,0.375,20.3,2.73,14.3,77.816666666666677,54.81666666666667,-45.103943882998387,-97.836052468464914,"Compact",77.816666666666677,0.99835498125324917]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X6X3/8",27.405793169415549,6,6,0.375,15.8,14.2,13.2,60.56666666666667,50.599999999999994,5.9311227038134469,11.78595380223766,"Compact",60.56666666666667,1.2826965898380356]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X5X3/8",27.405793169415549,7,5,0.375,17.5,11.3,14.1,67.083333333333329,54.050000000000004,2.8137590373978729,9.5431009056902258,"Compact",67.083333333333329,1.1580917782537694]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X4X3/8",27.405793169415549,8,4,0.375,18.8,8.4600000000000009,14.7,72.066666666666677,56.349999999999994,-2.3104376667354649,2.1660406977855189,"Compact",72.066666666666677,1.078010963800051]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X3X3/8",27.405793169415549,9,3,0.375,19.7,5.6,14.7,75.516666666666666,56.349999999999994,-12.723150763074839,-18.926481332880115,"Compact",75.516666666666666,1.0287617319513178]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X7X5/16",27.53901954877081,7,7,0.3125,18.899999999999999,21.1,16,72.45,61.333333333333336,7,13.986002604166664,"Compact",72.45,1.0723072020868234]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X4X5/16",27.578736770993032,10,4,0.3125,23.1,10.7,18,88.550000000000011,69,1.6315126354225808,12.448039824095053,"Compact",88.550000000000011,0.87734225625285533]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X2X5/16",27.578736770993032,12,2,0.3125,24.5,3.87,17.399999999999999,93.916666666666671,66.7,-22.076817941736135,-40.276561915425191,"Compact",93.916666666666671,0.82720841303840653]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X6X5/16",27.578736770993032,8,6,0.3125,20.6,17.600000000000001,17.100000000000001,78.966666666666669,65.55,6,15.275065104166664,"Compact",78.966666666666669,0.98381583104082337]
[null,{"$f":"+B242","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS9X5X5/16",27.578736770993032,9,5,0.3125,22,14.2,17.7,84.333333333333329,67.849999999999994,4.9426022531778733,16.251910328017253,"Compact",84.333333333333329,0.92120936906549833]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS5X5X1/2",28.303872091236148,5,5,0.5,13.1,7.75,10.4,50.216666666666669,39.866666666666667,-5.5710533516346805,-5.6899133607853507,"Compact",50.216666666666669,1.5470691694229741]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X4X1/2",28.303872091236148,6,4,0.5,14.6,5.6,11.3,55.966666666666669,43.31666666666667,-16.964201017433119,-26.934368531960715,"Compact",55.966666666666669,1.3881237068110248]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X3X1/2",28.303872091236148,7,3,0.5,15.8,3.45,11.6,60.56666666666667,44.466666666666669,-42.55750374495134,-86.207924780727865,"Compact",60.56666666666667,1.2826965898380356]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X8X1/4",29.194682414229042,10,8,0.25,28.1,31.3,23.8,107.71666666666668,91.233333333333334,8,20.520833333333343,"Non C.",100.29368415303753,0.77461165622997452]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X6X1/4",29.194682414229042,12,6,0.25,31.1,22.8,25.2,119.21666666666668,96.600000000000009,6,22.770833333333329,"Compact",119.21666666666668,0.65165936075372854]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X9X1/4",29.194682414229042,9,9,0.25,26.2,35.6,22.7,100.43333333333334,87.016666666666666,8.8219681632075133,18.886203571344282,"Slend.",72.397113690153091,1.0730905257312349]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X4X1/4",29.249589636451262,14,4,0.25,33.200000000000003,14.2,25.4,127.26666666666667,97.36666666666666,3.9540818025422984,24.24893746415944,"Compact",127.26666666666667,0.61043994335665552]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X5X5/16",29.708875659881919,10,5,0.3125,26,14.2,20.8,99.666666666666671,79.733333333333334,4.9426022531778733,19.130577464095971,"Compact",99.666666666666671,0.77948485074772922]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X3X5/16",29.708875659881919,12,3,0.3125,27.9,7.31,20.7,106.94999999999999,79.349999999999994,-4.5982795091740307,2.2818584867767555,"Compact",106.94999999999999,0.7264016530265579]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X12X3/16",29.819714187463362,12,12,0.1875,36,66,31.5,138,120.75,7.7323263688860706,19.863552216558361,"Slend.",76.143616830140388,1.0202911291237533]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3X3/8",29.957876502748881,10,3,0.375,23.7,5.6,17.600000000000001,90.850000000000009,67.466666666666669,-12.723150763074839,-19.919769023648797,"Compact",90.850000000000009,0.85513105989202365]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X3-1/2X5/16",30.773945104326366,12,3.5,0.3125,29.6,9.0299999999999994,22.4,113.46666666666668,85.86666666666666,-0.85287841648214913,11.401520001534355,"Compact",113.46666666666668,0.6846826391703027]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3-1/2X3/8",31.233918169415549,10,3.5,0.375,25.3,7.03,19.2,96.983333333333334,73.599999999999994,-6.4577487150640929,-4.8436453456229742,"Compact",96.983333333333334,0.80105162527434637]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X5X1/2",31.706649869013926,6,5,0.5,17.2,7.75,13.7,65.933333333333323,52.516666666666659,-5.5710533516346805,-6.0469311446635814,"Compact",65.933333333333323,1.1782910534558702]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X4X1/2",31.706649869013926,7,4,0.5,18.8,5.6,14.5,72.066666666666677,55.583333333333336,-16.964201017433119,-30.755768871105076,"Compact",72.066666666666677,1.078010963800051]
[null,{"$f":"+B258","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS8X3X1/2",31.706649869013926,8,3,0.5,20,3.45,14.6,76.666666666666671,55.966666666666669,-42.55750374495134,-98.22709269571169,"Compact",76.666666666666671,1.013330305972048]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X8X5/16",31.792491770993031,8,8,0.3125,25.1,24.5,21.4,96.216666666666683,82.033333333333331,8,18.478190104166657,"Compact",96.216666666666683,0.80743450675063577]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X6X5/16",31.839014548770809,10,6,0.3125,28.8,17.600000000000001,23.5,110.39999999999999,90.083333333333329,6,21.2646484375,"Compact",110.39999999999999,0.7037016013694779]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X4X5/16",31.839014548770809,12,4,0.3125,31.3,10.7,24.1,119.98333333333333,92.38333333333334,1.6315126354225808,17.450753422187795,"Compact",119.98333333333333,0.64749540317702758]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X7X5/16",31.839014548770809,9,7,0.3125,27.1,21.1,22.6,103.88333333333334,86.63333333333334,7,19.9755859375,"Compact",103.88333333333334,0.74784524425981402]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X4X3/8",32.509959836082217,10,4,0.375,27,8.4600000000000009,20.8,103.5,79.733333333333334,-2.3104376667354649,5.1358218644177924,"Compact",103.5,0.7506150414607764]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X7X3/8",32.509959836082217,7,7,0.375,22.1,17.100000000000001,18.600000000000001,84.716666666666669,71.3,7,16.4765625,"Compact",84.716666666666669,0.91704100087968154]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X6X3/8",32.509959836082217,8,6,0.375,24.1,14.2,19.8,92.38333333333334,75.900000000000006,5.9311227038134469,17.876515154144386,"Compact",92.38333333333334,0.84093801325481166]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X5X3/8",32.509959836082217,9,5,0.375,25.7,11.3,20.5,98.516666666666666,78.583333333333329,2.8137590373978729,14.574980424389164,"Compact",98.516666666666666,0.78858389569809195]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X10X1/4",32.597460192006821,10,10,0.25,32.700000000000003,39.9,28.3,125.35000000000001,108.48333333333333,9.1700734043269208,22.422202615364597,"Slend.",85.951776692230965,0.90386330313300556]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X8X1/4",32.597460192006821,12,8,0.25,36.6,31.3,30.6,140.30000000000001,117.30000000000001,8,26.6875,"Non C.",129.94234998098261,0.59787018475932041]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X6X1/4",32.659172969784599,14,6,0.25,39.6,22.8,31.7,151.80000000000001,121.51666666666667,6,28.9375,"Compact",151.80000000000001,0.51178298281416568]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X4X1/4",32.659172969784599,16,4,0.25,41.7,14.2,31.6,159.85,121.13333333333334,3.9540818025422984,30.400298065006865,"Compact",159.85,0.48600973907532286]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X5X3/8",35.062043169415546,10,5,0.375,30.4,11.3,24.1,116.53333333333332,92.38333333333334,2.8137590373978729,17.465920183738636,"Compact",116.53333333333332,0.66666467498161064]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X6X1/2",35.109427646791701,6,6,0.5,19.8,9.9,16.100000000000001,75.900000000000006,61.716666666666669,0.87355542901898442,5.7681849532014713,"Compact",75.900000000000006,1.0235659656283314]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X5X1/2",{"$f":"VLOOKUP($E274,StlSects,4)","v":35.109427646791701},{"$f":"VLOOKUP($E274,StlSects,7)","v":7},{"$f":"VLOOKUP($E274,StlSects,10)","v":5},{"$f":"VLOOKUP($E274,StlSects,15)","v":0.5},{"$f":"VLOOKUP($E274,StlSects,31)","v":21.9},{"$f":"VLOOKUP($E274,StlSects,26)","v":7.75},{"$f":"VLOOKUP($E274,StlSects,32)","v":17.3},83.95,66.316666666666677,-5.5710533516346805,-6.0706155952084799,"Compact",{"$f":"IF(K274<=E$13,M274,IF(K274<=H$13,MIN(M274-(M274-N274)*(3.57*K274*SQRT(B$7/29000)-4),M274),P274*B$7/12))","v":83.95},0.92541580454068317]
[null,{"$f":"+B274","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS8X4X1/2",35.109427646791701,8,4,0.5,23.5,5.6,17.899999999999999,90.083333333333329,68.61666666666666,-16.964201017433119,-34.243835876916137,"Compact",90.083333333333329,0.86240877104004099]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X3X1/2",35.109427646791701,9,3,0.5,24.6,3.45,18,94.300000000000011,69,-42.55750374495134,-109.91292727736214,"Compact",94.300000000000011,0.82384577721304708]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X10X1/4",36.0002379697846,12,10,0.25,42.1,39.9,36,161.38333333333335,138,9.1700734043269208,28.978893750140259,"Slend.",111.08575937553765,0.69935748045395529]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X9X5/16",36.045963993215253,9,9,0.3125,32.1,27.9,27.6,123.05000000000001,105.80000000000001,9,23.595377604166671,"Compact",123.05000000000001,0.63135844608850344]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X4X5/16",36.088626659881918,14,4,0.3125,40.6,10.7,30.9,155.63333333333335,118.44999999999999,1.6315126354225808,23.286800353613867,"Compact",155.63333333333335,0.49917749062662459]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X8X5/16",36.099292326548586,10,8,0.3125,34.4,24.5,29,131.86666666666665,111.16666666666667,8,25.301106770833343,"Compact",131.86666666666665,0.58914552672793508]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X6X5/16",36.099292326548586,12,6,0.3125,38.1,17.600000000000001,30.7,146.05000000000001,117.68333333333334,6,28.087565104166671,"Compact",146.05000000000001,0.53193191914543203]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X3-1/2X3/8",36.338084836082217,12,3.5,0.375,34.700000000000003,7.03,26,133.01666666666668,99.666666666666671,-6.4577487150640929,-2.9475197031550238,"Compact",133.01666666666668,0.58405204955161272]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X6X3/8",37.614126502748881,10,6,0.375,33.799999999999997,14.2,27.4,129.56666666666666,105.03333333333332,5.9311227038134469,24.967076506051114,"Compact",129.56666666666666,0.59960373134440714]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X4X3/8",37.614126502748881,12,4,0.375,36.700000000000003,8.4600000000000009,28,140.68333333333334,107.33333333333333,-2.3104376667354649,9.1056030310500518,"Compact",140.68333333333334,0.55222359998476733]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X8X3/8",37.614126502748881,8,8,0.375,29.4,19.899999999999999,24.9,112.69999999999999,95.449999999999989,8,21.820312499999993,"Compact",112.69999999999999,0.68934034419867229]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X7X3/8",37.614126502748881,9,7,0.375,31.8,17.100000000000001,26.4,121.89999999999999,101.19999999999999,7,23.6015625,"Compact",121.89999999999999,0.6373146578440555]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X12X1/4",39.403015747562378,12,12,0.25,47.6,48.5,41.4,{"$f":"+J287*B$7/12","v":182.46666666666667},{"$f":"L287*B$7/12","v":158.69999999999999},{"$f":"MIN(1.92*I287*SQRT(29000/B$7)*(1-0.38*SQRT(29000/B$7)/K287),H287)","v":9.681106253145515},{"$f":"+O287*(G287^2)/6-(O287-2*I287)*((G287-2*I287)^2)/6","v":29.979666412409983},{"$f":"IF(K287<=E$13,\"Compact\",IF(K287<=H$13,\"Non C.\",\"Slend.\"))","v":"Slend."},114.92205458090494,{"$f":"+C287/R287","v":0.67601172877132709}]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X10X1/4",39.47833963645126,14,10,0.25,52.4,39.9,44.3,200.86666666666667,169.81666666666666,9.1700734043269208,36.202251551582492,"Slend.",138.77529761439953,0.55981617857564059]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X8X1/4",39.47833963645126,16,8,0.25,56.4,31.3,46.1,216.20000000000002,176.71666666666667,8,41.020833333333314,"Non C.",198.41936746735345,0.3915376698495559]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS18X6X1/4",39.47833963645126,18,6,0.25,59.4,22.8,46.5,227.70000000000002,178.25,6,43.270833333333314,"Compact",227.70000000000002,0.3411886552094438]
[null,{"$f":"+B290","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS20X4X1/4",39.47833963645126,20,4,0.25,61.5,14.2,45.8,235.75,175.56666666666663,3.9540818025422984,44.703019266701716,"Compact",235.75,0.3295383108852189]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X3-1/2X1/2",40.213594313458373,10,3.5,0.5,31.9,4.53,23.7,122.28333333333332,90.850000000000009,-26.664665827601354,-70.938108454070857,"Compact",122.28333333333332,0.63531680625206788]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X10X5/16",40.299436215437474,10,10,0.3125,40.1,31.4,34.5,153.71666666666667,132.25,10,29.337565104166657,"Non C.",143.74430681925443,0.54046423479489081]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X6X5/16",40.347543326548589,14,6,0.3125,48.6,17.600000000000001,38.700000000000003,186.29999999999998,148.35,6,35.743815104166657,"Compact",186.29999999999998,0.41700835636709804]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X4X5/16",40.347543326548589,16,4,0.3125,51.1,10.7,38.5,195.88333333333333,147.58333333333334,1.6315126354225808,29.956180618373274,"Compact",195.88333333333333,0.3966067733745785]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X8X5/16",40.359570104326366,12,8,0.3125,44.9,24.5,37.4,172.11666666666667,143.36666666666665,8,32.957356770833343,"Compact",172.11666666666667,0.45137207392964279]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X4X1/2",41.914983202347258,10,4,0.5,34.1,5.6,25.8,130.71666666666667,98.899999999999991,-16.964201017433119,-40.219969888538202,"Compact",130.71666666666667,0.59432862520354723]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X7X1/2",41.914983202347258,7,7,0.5,27.9,12.1,23,106.94999999999999,88.166666666666671,5.0972947990034108,17.044138731174062,"Compact",106.94999999999999,0.7264016530265579]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X6X1/2",41.914983202347258,8,6,0.5,30.5,9.9,24.6,116.91666666666667,94.300000000000011,0.87355542901898442,10.350555239214128,"Compact",116.91666666666667,0.66447888916199871]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X5X1/2",41.914983202347258,9,5,0.5,32.5,7.75,25.5,124.58333333333333,97.75,-5.5710533516346805,-5.1179844962982628,"Compact",124.58333333333333,0.62358788059818349]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS6X6X5/8",42.097252513024195,6,6,0.625,23.2,7.33,18.399999999999999,88.933333333333337,70.533333333333331,-9.0892555764019054,-15.655624467983436,"Compact",88.933333333333337,0.87356060859659312]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X4X5/8",42.097252513024195,8,4,0.625,27.4,3.88,20.5,105.03333333333332,78.583333333333329,-43.962182820744459,-125.59993679291262,"Compact",105.03333333333332,0.73965715764383089]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X8X3/8",42.718293169415546,10,8,0.375,40.5,19.899999999999999,33.9,155.25,129.94999999999999,8,29.945312500000014,"Compact",155.25,0.50041002764051756]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X6X3/8",42.718293169415546,12,6,0.375,44.8,14.2,35.9,171.73333333333332,137.61666666666665,5.9311227038134469,33.057637857957829,"Compact",171.73333333333332,0.45237960088037865]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X9X3/8",42.718293169415546,9,9,0.375,37.799999999999997,22.8,32.200000000000003,144.9,123.43333333333334,9,27.9140625,"Compact",144.9,0.5361536010434117]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X4X3/8",42.749342836082214,14,4,0.375,47.8,8.4600000000000009,36,183.23333333333332,138,-2.3104376667354649,14.075384197682325,"Compact",183.23333333333332,0.42398757572052226]
[null,{"$f":"+B306","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS12X10X5/16",44.619847882104139,12,10,0.3125,51.7,31.4,44,198.18333333333337,168.66666666666666,10,37.8271484375,"Non C.",184.47133854314151,0.42114215359814089]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X10X3/8",47.82245983608221,10,10,0.375,47.2,25.7,40.4,180.93333333333337,154.86666666666665,10,34.7578125,"Compact",180.93333333333337,0.42937724829324064]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X8X3/8",47.82245983608221,12,8,0.375,53,19.899999999999999,43.7,203.16666666666666,167.51666666666668,8,39.0703125,"Compact",203.16666666666666,0.38238879470643328]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X6X3/8",47.857592836082212,14,6,0.375,57.3,14.2,45.3,219.64999999999998,173.64999999999998,5.9311227038134469,42.148199209864543,"Compact",219.64999999999998,0.35369295147366431]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X4X3/8",47.857592836082212,16,4,0.375,60.2,8.4600000000000009,45,230.76666666666668,172.5,-2.3104376667354649,20.045165364314585,"Compact",230.76666666666668,0.33665458670167708]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X6X1/2",48.720538757902816,10,6,0.5,43,9.9,34.299999999999997,164.83333333333334,131.48333333333332,0.87355542901898442,16.266258858560118,"Compact",164.83333333333334,0.47131642138234792]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X4X1/2",48.720538757902816,12,4,0.5,46.7,5.6,34.9,179.01666666666668,133.78333333333333,-16.964201017433119,-44.862770566826953,"Compact",179.01666666666668,0.43397443510580214]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X8X1/2",48.720538757902816,8,8,0.5,37.5,14.2,31.2,143.75,119.60000000000001,7.9081636050845967,27.937075679378147,"Compact",143.75,0.54044282985175895]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X7X1/2",48.720538757902816,9,7,0.5,40.5,12.1,33,155.25,126.5,5.0972947990034108,25.109001930509656,"Compact",155.25,0.50041002764051756]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X12X5/16",48.806380659881917,12,12,0.3125,58.6,38.200000000000003,50.7,224.63333333333333,194.35000000000002,11.302271765814815,40.998044533950122,"Slend.",157.15917071347545,0.49433104309788156]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X10X5/16",48.865376659881925,14,10,0.3125,64.599999999999994,31.4,54.3,247.63333333333333,208.14999999999998,10,47.150065104166686,"Non C.",229.29131432827151,0.33882075742287016]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X8X5/16",48.865376659881925,16,8,0.3125,69.400000000000006,24.5,56.4,266.03333333333336,216.20000000000002,8,50.769856770833314,"Compact",266.03333333333336,0.29202602477580636]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS18X6X5/16",48.865376659881925,18,6,0.3125,73.099999999999994,17.600000000000001,57,280.21666666666664,218.5,6,53.556315104166686,"Compact",280.21666666666664,0.27724495375432234]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X4X5/16",48.865376659881925,20,4,0.3125,75.599999999999994,10.7,56,289.8,214.66666666666666,1.6315126354225808,45.794941147892096,"Compact",289.8,0.26807680052170585]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X4X5/8",50.604196957468638,10,4,0.625,40.299999999999997,3.88,29.9,154.48333333333332,114.61666666666666,-43.962182820744459,-155.77675581019969,"Compact",154.48333333333332,0.50289345209530922]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS7X7X5/8",50.604196957468638,7,7,0.625,33.1,9.0500000000000007,26.7,126.88333333333334,102.35000000000001,-1.6354012323280951,2.5439863099618325,"Compact",126.88333333333334,0.61228417279277825]
[null,{"$f":"+B322","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS8X6X5/8",50.604196957468638,8,6,0.625,36.1,7.33,28.5,138.38333333333335,109.25,-9.0892555764019054,-18.438337448318364,"Compact",138.38333333333335,0.56140183156346146]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X5X5/8",50.604196957468638,9,5,0.625,38.5,5.61,29.6,147.58333333333334,113.46666666666668,-21.113744313276765,-61.165149426538704,"Compact",147.58333333333334,0.52640535375171327]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X10X3/8",52.926626502748874,12,10,0.375,61.1,25.7,51.6,234.21666666666667,197.79999999999998,10,44.8828125,"Compact",234.21666666666667,0.33169568116924653]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X8X1/2",55.52609431345838,10,8,0.5,51.9,14.2,42.7,198.95000000000002,163.68333333333334,7.9081636050845967,38.542518082767884,"Compact",198.95000000000002,0.39049337417034607]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X6X1/2",55.52609431345838,12,6,0.5,57.4,9.9,45.2,220.03333333333333,173.26666666666668,0.87355542901898442,23.51529581123944,"Compact",220.03333333333333,0.35307676166273455]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X4X1/2",55.52609431345838,14,4,0.5,61,5.6,45.3,233.83333333333334,173.64999999999998,-16.964201017433119,-48.172237911782361,"Compact",233.83333333333334,0.33223944458099935]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X9X1/2",55.52609431345838,9,9,0.5,48.4,16.399999999999999,40.6,185.53333333333333,155.63333333333335,9,36.166666666666671,"Compact",185.53333333333333,0.4187315313934083]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X14X5/16",57.313325104326367,14,14,0.3125,80.5,45.1,69.900000000000006,308.58333333333331,267.95,11.877955818704844,52.505173493442214,"Slend.",201.2698317248618,0.38599255599016774]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X8X5/16",57.313325104326367,20,8,0.3125,98.6,24.5,78.599999999999994,377.96666666666664,301.3,8,71.915690104166686,"Compact",377.96666666666664,0.20554367261096312]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X12X5/16",57.38320999321526,16,12,0.3125,87.7,38.200000000000003,74.400000000000006,336.18333333333334,285.2,11.302271765814815,61.562437672129136,"Slend.",235.98934440982836,0.32920408752131275]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X12X3/8",58.030793169415539,12,12,0.375,69.2,31.4,59.5,265.26666666666671,228.08333333333334,12,50.6953125,"Non C.",247.99311478811333,0.31326941015103571]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X10X3/8",58.074092836082208,14,10,0.375,76.3,25.7,63.9,292.48333333333329,244.95000000000002,10,56.0078125,"Compact",292.48333333333329,0.26561738033343335]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X8X3/8",58.074092836082208,16,8,0.375,82.1,19.899999999999999,66.3,314.71666666666664,254.14999999999998,8,60.3203125,"Compact",314.71666666666664,0.24685269329404341]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS18X6X3/8",58.074092836082208,18,6,0.375,86.4,14.2,66.900000000000006,331.2,256.45,5.9311227038134469,63.329321913678029,"Compact",331.2,0.23456720045649262]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X4X3/8",58.074092836082208,20,4,0.375,89.3,8.4600000000000009,65.7,342.31666666666666,251.85000000000002,-2.3104376667354649,34.984727697579132,"Compact",342.31666666666666,0.22694967658948445]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X6X5/8",{"$f":"VLOOKUP($E338,StlSects,4)","v":59.111141401913081},{"$f":"VLOOKUP($E338,StlSects,7)","v":10},{"$f":"VLOOKUP($E338,StlSects,10)","v":6},{"$f":"VLOOKUP($E338,StlSects,15)","v":0.625},{"$f":"VLOOKUP($E338,StlSects,31)","v":51.3},{"$f":"VLOOKUP($E338,StlSects,26)","v":7.33},{"$f":"VLOOKUP($E338,StlSects,32)","v":40.200000000000003},196.64999999999998,154.1,-9.0892555764019054,-19.554383761986628,"Compact",{"$f":"IF(K338<=E$13,M338,IF(K338<=H$13,MIN(M338-(M338-N338)*(3.57*K338*SQRT(B$7/29000)-4),M338),P338*B$7/12))","v":196.64999999999998},0.39506054813725078]
[null,{"$f":"+B338","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS12X4X5/8",59.111141401913081,12,4,0.625,55.5,3.88,40.799999999999997,212.75,156.4,-43.962182820744459,-184.28690816082019,"Compact",212.75,0.36516407422416147]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS8X8X5/8",59.111141401913081,8,8,0.625,44.7,10.8,36.5,171.35000000000002,139.91666666666666,3.5117949669939765,20.283640783991903,"Compact",171.35000000000002,0.45339163578167696]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X7X5/8",59.111141401913081,9,7,0.625,48.3,9.0500000000000007,38.700000000000003,185.14999999999998,148.35,-1.6354012323280951,6.8061519496884237,"Compact",185.14999999999998,0.41959847038180048]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X10X1/2",62.33164986901393,10,10,0.5,60.7,18.5,51.2,232.68333333333337,196.26666666666668,10,45.166666666666657,"Compact",232.68333333333337,0.33388148466953804]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X8X1/2",62.33164986901393,12,8,0.5,68.099999999999994,14.2,55.6,261.05,213.13333333333333,7.9081636050845967,50.481293819490958,"Compact",261.05,0.29760067723114481]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X6X1/2",62.33164986901393,14,6,0.5,73.599999999999994,9.9,57.4,282.13333333333333,220.03333333333333,0.87355542901898442,32.097666097252102,"Compact",282.13333333333333,0.27536149618805655]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X4X1/2",62.33164986901393,16,4,0.5,77.3,5.6,56.9,296.31666666666666,218.11666666666667,-16.964201017433119,-50.148371923404511,"Compact",296.31666666666666,0.26218119171333715]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X16X5/16",65.82026954877081,16,16,0.3125,106,52,92.3,406.33333333333331,353.81666666666666,12.300862180635596,64.826059991400257,"Slend.",248.49989663370101,0.31263053966459636]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X12X5/16",65.82026954877081,20,12,0.3125,122,38.200000000000003,101,467.66666666666669,387.16666666666669,11.302271765814815,85.46016414364135,"Slend.",327.59729588395851,0.23714681948629157]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X4X5/8",67.5908255130242,14,4,0.625,73.099999999999994,3.88,53.3,280.21666666666664,204.31666666666663,-43.962182820744459,-211.13039384477383,"Compact",280.21666666666664,0.27724495375432234]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X8X5/8",67.61808584635753,10,8,0.625,62.2,10.8,50.5,238.43333333333337,193.58333333333334,3.5117949669939765,29.668469923153555,"Compact",238.43333333333337,0.32582968037686427]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X6X5/8",67.61808584635753,12,6,0.625,68.8,7.33,53.4,263.73333333333329,204.70000000000002,-9.0892555764019054,-19.00376340898822,"Compact",263.73333333333329,0.29457276336396754]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS9X9X5/8",67.61808584635753,9,9,0.625,58.1,12.5,47.9,{"$f":"+J351*B$7/12","v":222.71666666666667},{"$f":"L351*B$7/12","v":183.61666666666667},{"$f":"MIN(1.92*I351*SQRT(29000/B$7)*(1-0.38*SQRT(29000/B$7)/K351),H351)","v":7.1318915853514619},{"$f":"+O351*(G351^2)/6-(O351-2*I351)*((G351-2*I351)^2)/6","v":37.400350844716051},{"$f":"IF(K351<=E$13,\"Compact\",IF(K351<=H$13,\"Non C.\",\"Slend.\"))","v":"Compact"},222.71666666666667,{"$f":"+C351/R351","v":0.34882282477523169}]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X14X3/8",68.239126502748874,14,14,0.375,95.4,37.1,82.5,365.70000000000005,316.25,13.428847361851917,67.687323826308102,"Slend.",259.46807466751437,0.29941508947003043]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X12X3/8",68.290592836082212,16,12,0.375,104,31.4,87.7,398.66666666666669,336.18333333333334,12,75.9453125,"Non C.",369.6399763965203,0.21017384956180216]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X8X3/8",68.290592836082212,20,8,0.375,117,19.899999999999999,92.6,448.5,354.96666666666664,8,85.570312500000057,"Compact",448.5,0.17321885572171764]
[null,{"$f":"+B354","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS12X10X1/2",69.137205424569487,12,10,0.5,78.8,18.5,65.900000000000006,302.06666666666666,252.61666666666667,10,58.5,"Compact",302.06666666666666,0.25719043298782945]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X12X1/2",75.942760980125044,12,12,0.5,89.6,22.8,76.2,343.46666666666664,292.10000000000002,12,66.166666666666657,"Compact",343.46666666666664,0.22618980044018933]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X10X1/2",75.942760980125044,14,10,0.5,98.8,18.5,81.8,378.73333333333335,313.56666666666666,10,73.166666666666686,"Compact",378.73333333333335,0.20512759230203401]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X8X1/2",75.942760980125044,16,8,0.5,106,14.2,84.9,406.33333333333331,325.45,7.9081636050845967,78.358845292937076,"Compact",406.33333333333331,0.19119439735321664]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS18X6X1/2",75.942760980125044,18,6,0.5,112,9.9,85.6,429.33333333333331,328.13333333333333,0.87355542901898442,53.262406669277411,"Compact",429.33333333333331,0.18095184035215145]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X4X1/2",75.942760980125044,20,4,0.5,115,5.6,83.8,440.83333333333331,321.23333333333329,-16.964201017433119,-50.100639946648698,"Compact",440.83333333333331,0.17623135756035621]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X6X5/8",76.093686624135302,14,10,0.625,88.7,7.33,68.3,340.01666666666671,261.81666666666666,-9.0892555764019054,-16.786476389323127,"Compact",340.01666666666671,0.22848484914815062]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X4X5/8",76.093686624135302,16,4,0.625,92.9,3.88,67.3,356.11666666666673,257.98333333333329,-43.962182820744459,-236.30721286206085,"Compact",356.11666666666673,0.21815507125340106]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS10X10X5/8",76.125030290801973,10,10,0.625,73.2,14.2,60.8,280.60000000000002,233.06666666666663,9.8852045063557465,54.564600936285458,"Compact",280.60000000000002,0.27686620381749943]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X8X5/8",76.125030290801973,12,8,0.625,82.1,10.8,66.099999999999994,314.71666666666664,253.38333333333333,3.5117949669939765,40.719965728981869,"Compact",314.71666666666664,0.24685269329404341]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X16X3/8",78.447459836082203,16,16,0.375,126,42.8,109,483,417.83333333333331,14.048022395339279,83.945399981794026,"Slend.",321.79069993021045,0.24142604745270566]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X12X3/8",78.447459836082203,20,12,0.375,144,31.4,120,552,460,12,105.1953125,"Non C.",509.26131493966182,0.15255165572589202]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X14X1/2",89.553872091236158,14,14,0.5,124,27.1,106,475.33333333333331,406.33333333333331,14,91.166666666666629,"Compact",475.33333333333331,0.16344037193097549]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X12X1/2",89.553872091236158,16,12,0.5,135,22.8,113,517.5,433.16666666666669,12,99.5,"Compact",517.5,0.15012300829215527]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X8X1/2",89.553872091236158,20,8,0.5,152,14.2,119,582.66666666666663,456.16666666666669,7.9081636050845967,111.56973009971659,"Compact",582.66666666666663,0.13333293499632212]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X10X5/8",93.09940884635752,14,10,0.625,120,14.2,98.2,460,376.43333333333334,9.8852045063557465,88.956608446878334,"Compact",460,0.16888838432867467]
[null,{"$f":"+B370","v":69.919791112071323},77.688656791190354,20.266606119440961,"HSS16X8X5/8",93.09940884635752,16,8,0.3125,129,10.8,102,494.5,391,1.7558974834969883,30.362698806741456,"Compact",494.5,0.15710547379411599]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS18X6X5/8",93.09940884635752,18,6,0.625,135,7.33,103,517.5,394.83333333333331,-9.0892555764019054,-7.3519023499929403,"Compact",517.5,0.15012300829215527]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS12X12X5/8",93.138919179690859,12,12,0.625,109,17.7,91.4,417.83333333333331,350.36666666666673,12,80.950520833333343,"Compact",417.83333333333331,0.18593216623340333]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X16X1/2",103,16,16,0.5,164,31.4,141,628.66666666666663,540.5,16,120.16666666666663,"Non C.",587.70876015050919,0.13218903997839795]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X12X1/2",103,20,12,0.5,188,22.8,155,720.66666666666663,594.16666666666663,12,138.16666666666663,"Compact",720.66666666666663,0.10780109638000512]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS14X14X5/8",110,14,14,0.625,151,21.1,128,578.83333333333337,490.66666666666669,14,111.88802083333331,"Compact",578.83333333333337,0.13421593456583417]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X12X5/8",110,16,12,0.625,165,17.7,136,632.5,521.33333333333337,12,122.20052083333331,"Compact",632.5,0.12282791587539976]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X8X5/8",110,20,8,0.625,185,10.8,144,709.16666666666663,552,3.5117949669939765,101.59261561896179,"Compact",709.16666666666663,0.10954922226724845]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS16X16X5/8",127,16,16,0.625,200,24.5,171,766.66666666666663,655.5,16,147.82552083333326,"Compact",766.66666666666663,0.10133303059720482]
[null,69.919791112071323,77.688656791190354,20.266606119440961,"HSS20X12X5/8",127,20,12,0.625,230,17.7,188,881.66666666666663,720.66666666666663,12,170.1171875,"Compact",881.66666666666663,8.8115678780178106E-2]

{"sheet":"Example 8.5","index":5,"n_rows":190,"n_cols":14,"rows_kept":190,"cut":false,"hidden":false,"merged":[]}
["A Beginners Guide to the Steel Construction Manual, 16th Edition",null,null,null,null,null,null,"last modified:  30 May 2023"]
["Example 8.5",null,null,null,null,null,null,"by:  TBQ"]
[]
[]
[]
[]
[]
[]
[null,"Span1",13.5,"ft",null,"Shear","Flexure"]
[null,"Span2",15,"ft","W",1.5,1.67]
[]
[]
[null,"D",2.4,"klf"]
[null,"L",1.8,"klf"]
[]
[null,"Steel","A992"]
[null,"Fy",{"$f":"VLOOKUP(C16,StlProps,2)","v":50},"ksi"]
[]
[]
[]
[]
[]
[]
[]
["Solution:","  Note:  This solution uses ASD"]
[]
["Compute the moment envelope using moment distribution and influential superposition."]
["Other methods can be used, if you are more comfortable with them."]
[]
["Apply unit load to each span and find the corresponding moment information."]
[]
[]
[null,null,"Span AB",null,"Span BC",null,"Units",null,null,"Span AB",null,"Span BC",null,"Units"]
[null,"Span",{"$f":"+C9","v":13.5},null,{"$f":"+C10","v":15},null,"ft",null,"Span",{"$f":"+C34","v":13.5},null,{"$f":"+E34","v":15},null,"ft"]
[null,"1/L",{"$f":"1/C34","v":7.407407407407407E-2},null,{"$f":"1/E34","v":6.6666666666666666E-2},null,null,null,"1/L",{"$f":"1/J34","v":7.407407407407407E-2},null,{"$f":"1/L34","v":6.6666666666666666E-2}]
[null,"Load",1,null,0,null,"k/ft",null,"Load",0,null,1,null,"k/ft"]
[null,"Joint","A","B","B","C",null,null,"Joint","A","B","B","C"]
[null,"DF",1,{"$f":"+C35/(C35+E35)","v":0.52631578947368429},{"$f":"E35/(C35+E35)","v":0.47368421052631587},1,null,null,"DF",1,{"$f":"+J35/(J35+L35)","v":0.52631578947368429},{"$f":"L35/(J35+L35)","v":0.47368421052631587},1]
[null,"FEM",{"$f":"+C36*C34^2/12","v":15.1875},{"$f":"-C39","v":-15.1875},{"$f":"+E36*E34^2/12","v":0},{"$f":"-E39","v":0},"ft-k",null,"FEM",{"$f":"+J36*J34^2/12","v":0},{"$f":"-J39","v":0},{"$f":"+L36*L34^2/12","v":18.75},{"$f":"-L39","v":-18.75},"ft-k"]
[null,"Balance",{"$f":"-C$38*C39","v":-15.1875},{"$f":"-(+D39+E39)*D$38","v":7.9934210526315805},{"$f":"-E$38*(D39+E39)","v":7.1940789473684221},{"$f":"-F$38*F39","v":0},"ft-k",null,"Balance",{"$f":"-J$38*J39","v":0},{"$f":"-(+K39+L39)*K$38","v":-9.8684210526315805},{"$f":"-L$38*(K39+L39)","v":-8.881578947368423},{"$f":"-M$38*M39","v":18.75},"ft-k"]
[null,"CO",{"$f":"+D40/2","v":3.9967105263157903},{"$f":"+C40/2","v":-7.59375},{"$f":"+F40/2","v":0},{"$f":"+E40/2","v":3.5970394736842111},"ft-k",null,"CO",{"$f":"+K40/2","v":-4.9342105263157903},{"$f":"+J40/2","v":0},{"$f":"+M40/2","v":9.375},{"$f":"+L40/2","v":-4.4407894736842115},"ft-k"]
[null,"Sum",{"$f":"+C39+C40+C41","v":3.9967105263157903},{"$f":"+D39+D40+D41","v":-14.787828947368419},{"$f":"+E39+E40+E41","v":7.1940789473684221},{"$f":"+F39+F40+F41","v":3.5970394736842111},"ft-k",null,"Sum",{"$f":"+J39+J40+J41","v":-4.9342105263157903},{"$f":"+K39+K40+K41","v":-9.8684210526315805},{"$f":"+L39+L40+L41","v":19.243421052631575},{"$f":"+M39+M40+M41","v":-4.4407894736842115},"ft-k"]
[null,"Balance",{"$f":"-C$38*C42","v":-3.9967105263157903},{"$f":"-(+D42+E42)*D$38","v":3.9967105263157885},{"$f":"-E$38*(D42+E42)","v":3.5970394736842097},{"$f":"-F$38*F42","v":-3.5970394736842111},"ft-k",null,"Balance",{"$f":"-J$38*J42","v":4.9342105263157903},{"$f":"-(+K42+L42)*K$38","v":-4.9342105263157876},{"$f":"-L$38*(K42+L42)","v":-4.4407894736842088},{"$f":"-M$38*M42","v":4.4407894736842115},"ft-k"]
[null,"CO",{"$f":"+D43/2","v":1.9983552631578942},{"$f":"+C43/2","v":-1.9983552631578951},{"$f":"+F43/2","v":-1.7985197368421055},{"$f":"+E43/2","v":1.7985197368421049},"ft-k",null,"CO",{"$f":"+K43/2","v":-2.4671052631578938},{"$f":"+J43/2","v":2.4671052631578951},{"$f":"+M43/2","v":2.2203947368421058},{"$f":"+L43/2","v":-2.2203947368421044},"ft-k"]
[null,"Sum",{"$f":"+C42+C43+C44","v":1.9983552631578942},{"$f":"+D42+D43+D44","v":-12.789473684210526},{"$f":"+E42+E43+E44","v":8.9925986842105257},{"$f":"+F42+F43+F44","v":1.7985197368421049},"ft-k",null,"Sum",{"$f":"+J42+J43+J44","v":-2.4671052631578938},{"$f":"+K42+K43+K44","v":-12.335526315789473},{"$f":"+L42+L43+L44","v":17.023026315789473},{"$f":"+M42+M43+M44","v":-2.2203947368421044},"ft-k"]
[null,"Balance",{"$f":"-C$38*C45","v":-1.9983552631578942},{"$f":"-(+D45+E45)*D$38","v":1.9983552631578951},{"$f":"-E$38*(D45+E45)","v":1.7985197368421055},{"$f":"-F$38*F45","v":-1.7985197368421049},"ft-k",null,"Balance",{"$f":"-J$38*J45","v":2.4671052631578938},{"$f":"-(+K45+L45)*K$38","v":-2.4671052631578951},{"$f":"-L$38*(K45+L45)","v":-2.2203947368421058},{"$f":"-M$38*M45","v":2.2203947368421044},"ft-k"]
[null,"CO",{"$f":"+D46/2","v":0.99917763157894757},{"$f":"+C46/2","v":-0.99917763157894712},{"$f":"+F46/2","v":-0.89925986842105243},{"$f":"+E46/2","v":0.89925986842105277},"ft-k",null,"CO",{"$f":"+K46/2","v":-1.2335526315789476},{"$f":"+J46/2","v":1.2335526315789469},{"$f":"+M46/2","v":1.1101973684210522},{"$f":"+L46/2","v":-1.1101973684210529},"ft-k"]
[null,"Sum",{"$f":"+C45+C46+C47","v":0.99917763157894757},{"$f":"+D45+D46+D47","v":-11.790296052631577},{"$f":"+E45+E46+E47","v":9.8918585526315788},{"$f":"+F45+F46+F47","v":0.89925986842105277},"ft-k",null,"Sum",{"$f":"+J45+J46+J47","v":-1.2335526315789476},{"$f":"+K45+K46+K47","v":-13.569078947368421},{"$f":"+L45+L46+L47","v":15.912828947368418},{"$f":"+M45+M46+M47","v":-1.1101973684210529},"ft-k"]
[null,"Balance",{"$f":"-C$38*C48","v":-0.99917763157894757},{"$f":"-(+D48+E48)*D$38","v":0.99917763157894657},{"$f":"-E$38*(D48+E48)","v":0.89925986842105199},{"$f":"-F$38*F48","v":-0.89925986842105277},"ft-k",null,"Balance",{"$f":"-J$38*J48","v":1.2335526315789476},{"$f":"-(+K48+L48)*K$38","v":-1.2335526315789458},{"$f":"-L$38*(K48+L48)","v":-1.1101973684210511},{"$f":"-M$38*M48","v":1.1101973684210529},"ft-k"]
[null,"CO",{"$f":"+D49/2","v":0.49958881578947328},{"$f":"+C49/2","v":-0.49958881578947378},{"$f":"+F49/2","v":-0.44962993421052638},{"$f":"+E49/2","v":0.44962993421052599},"ft-k",null,"CO",{"$f":"+K49/2","v":-0.6167763157894729},{"$f":"+J49/2","v":0.61677631578947378},{"$f":"+M49/2","v":0.55509868421052644},{"$f":"+L49/2","v":-0.55509868421052555},"ft-k"]
[null,"Sum",{"$f":"+C48+C49+C50","v":0.49958881578947328},{"$f":"+D48+D49+D50","v":-11.290707236842104},{"$f":"+E48+E49+E50","v":10.341488486842104},{"$f":"+F48+F49+F50","v":0.44962993421052599},"ft-k",null,"Sum",{"$f":"+J48+J49+J50","v":-0.6167763157894729},{"$f":"+K48+K49+K50","v":-14.185855263157892},{"$f":"+L48+L49+L50","v":15.357730263157892},{"$f":"+M48+M49+M50","v":-0.55509868421052555},"ft-k"]
[null,"Balance",{"$f":"-C$38*C51","v":-0.49958881578947328},{"$f":"-(+D51+E51)*D$38","v":0.49958881578947378},{"$f":"-E$38*(D51+E51)","v":0.44962993421052638},{"$f":"-F$38*F51","v":-0.44962993421052599},"ft-k",null,"Balance",{"$f":"-J$38*J51","v":0.6167763157894729},{"$f":"-(+K51+L51)*K$38","v":-0.61677631578947378},{"$f":"-L$38*(K51+L51)","v":-0.55509868421052644},{"$f":"-M$38*M51","v":0.55509868421052555},"ft-k"]
[null,"CO",{"$f":"+D52/2","v":0.24979440789473689},{"$f":"+C52/2","v":-0.24979440789473664},{"$f":"+F52/2","v":-0.224814967105263},{"$f":"+E52/2","v":0.22481496710526319},"ft-k",null,"CO",{"$f":"+K52/2","v":-0.30838815789473689},{"$f":"+J52/2","v":0.30838815789473645},{"$f":"+M52/2","v":0.27754934210526278},{"$f":"+L52/2","v":-0.27754934210526322},"ft-k"]
[null,"Sum",{"$f":"+C51+C52+C53","v":0.24979440789473689},{"$f":"+D51+D52+D53","v":-11.040912828947366},{"$f":"+E51+E52+E53","v":10.566303453947366},{"$f":"+F51+F52+F53","v":0.22481496710526319},"ft-k",null,"Sum",{"$f":"+J51+J52+J53","v":-0.30838815789473689},{"$f":"+K51+K52+K53","v":-14.49424342105263},{"$f":"+L51+L52+L53","v":15.080180921052628},{"$f":"+M51+M52+M53","v":-0.27754934210526322},"ft-k"]
[null,"Balance",{"$f":"-C$38*C54","v":-0.24979440789473689},{"$f":"-(+D54+E54)*D$38","v":0.24979440789473689},{"$f":"-E$38*(D54+E54)","v":0.22481496710526319},{"$f":"-F$38*F54","v":-0.22481496710526319},"ft-k",null,"Balance",{"$f":"-J$38*J54","v":0.30838815789473689},{"$f":"-(+K54+L54)*K$38","v":-0.30838815789473595},{"$f":"-L$38*(K54+L54)","v":-0.27754934210526239},{"$f":"-M$38*M54","v":0.27754934210526322},"ft-k"]
[null,"CO",{"$f":"+D55/2","v":0.12489720394736845},{"$f":"+C55/2","v":-0.12489720394736845},{"$f":"+F55/2","v":-0.1124074835526316},{"$f":"+E55/2","v":0.1124074835526316},"ft-k",null,"CO",{"$f":"+K55/2","v":-0.15419407894736797},{"$f":"+J55/2","v":0.15419407894736845},{"$f":"+M55/2","v":0.13877467105263161},{"$f":"+L55/2","v":-0.13877467105263119},"ft-k"]
[null,"Sum",{"$f":"+C54+C55+C56","v":0.12489720394736845},{"$f":"+D54+D55+D56","v":-10.916015624999998},{"$f":"+E54+E55+E56","v":10.678710937499998},{"$f":"+F54+F55+F56","v":0.1124074835526316},"ft-k",null,"Sum",{"$f":"+J54+J55+J56","v":-0.15419407894736797},{"$f":"+K54+K55+K56","v":-14.648437499999998},{"$f":"+L54+L55+L56","v":14.941406249999998},{"$f":"+M54+M55+M56","v":-0.13877467105263119},"ft-k"]
[null,"Balance",{"$f":"-C$38*C57","v":-0.12489720394736845},{"$f":"-(+D57+E57)*D$38","v":0.12489720394736845},{"$f":"-E$38*(D57+E57)","v":0.1124074835526316},{"$f":"-F$38*F57","v":-0.1124074835526316},"ft-k",null,"Balance",{"$f":"-J$38*J57","v":0.15419407894736797},{"$f":"-(+K57+L57)*K$38","v":-0.15419407894736845},{"$f":"-L$38*(K57+L57)","v":-0.13877467105263161},{"$f":"-M$38*M57","v":0.13877467105263119},"ft-k"]
[null,"CO",{"$f":"+D58/2","v":6.2448601973684223E-2},{"$f":"+C58/2","v":-6.2448601973684223E-2},{"$f":"+F58/2","v":-5.6203741776315798E-2},{"$f":"+E58/2","v":5.6203741776315798E-2},"ft-k",null,"CO",{"$f":"+K58/2","v":-7.7097039473684223E-2},{"$f":"+J58/2","v":7.7097039473683987E-2},{"$f":"+M58/2","v":6.9387335526315597E-2},{"$f":"+L58/2","v":-6.9387335526315805E-2},"ft-k"]
[null,"Sum",{"$f":"+C57+C58+C59","v":6.2448601973684223E-2},{"$f":"+D57+D58+D59","v":-10.853567023026315},{"$f":"+E57+E58+E59","v":10.734914679276315},{"$f":"+F57+F58+F59","v":5.6203741776315798E-2},"ft-k",null,"Sum",{"$f":"+J57+J58+J59","v":-7.7097039473684223E-2},{"$f":"+K57+K58+K59","v":-14.725534539473683},{"$f":"+L57+L58+L59","v":14.872018914473681},{"$f":"+M57+M58+M59","v":-6.9387335526315805E-2},"ft-k"]
[null,"Balance",{"$f":"-C$38*C60","v":-6.2448601973684223E-2},{"$f":"-(+D60+E60)*D$38","v":6.2448601973684223E-2},{"$f":"-E$38*(D60+E60)","v":5.6203741776315798E-2},{"$f":"-F$38*F60","v":-5.6203741776315798E-2},"ft-k",null,"Balance",{"$f":"-J$38*J60","v":7.7097039473684223E-2},{"$f":"-(+K60+L60)*K$38","v":-7.7097039473683293E-2},{"$f":"-L$38*(K60+L60)","v":-6.9387335526314958E-2},{"$f":"-M$38*M60","v":6.9387335526315805E-2},"ft-k"]
[null,"CO",{"$f":"+D61/2","v":3.1224300986842111E-2},{"$f":"+C61/2","v":-3.1224300986842111E-2},{"$f":"+F61/2","v":-2.8101870888157899E-2},{"$f":"+E61/2","v":2.8101870888157899E-2},"ft-k",null,"CO",{"$f":"+K61/2","v":-3.8548519736841647E-2},{"$f":"+J61/2","v":3.8548519736842111E-2},{"$f":"+M61/2","v":3.4693667763157902E-2},{"$f":"+L61/2","v":-3.4693667763157479E-2},"ft-k"]
[null,"Sum",{"$f":"+C60+C61+C62","v":3.1224300986842111E-2},{"$f":"+D60+D61+D62","v":-10.822342722039473},{"$f":"+E60+E61+E62","v":10.763016550164473},{"$f":"+F60+F61+F62","v":2.8101870888157899E-2},"ft-k",null,"Sum",{"$f":"+J60+J61+J62","v":-3.8548519736841647E-2},{"$f":"+K60+K61+K62","v":-14.764083059210524},{"$f":"+L60+L61+L62","v":14.837325246710524},{"$f":"+M60+M61+M62","v":-3.4693667763157479E-2},"ft-k"]
[null,"Balance",{"$f":"-C$38*C63","v":-3.1224300986842111E-2},{"$f":"-(+D63+E63)*D$38","v":3.1224300986842111E-2},{"$f":"-E$38*(D63+E63)","v":2.8101870888157899E-2},{"$f":"-F$38*F63","v":-2.8101870888157899E-2},"ft-k",null,"Balance",{"$f":"-J$38*J63","v":3.8548519736841647E-2},{"$f":"-(+K63+L63)*K$38","v":-3.8548519736842111E-2},{"$f":"-L$38*(K63+L63)","v":-3.4693667763157902E-2},{"$f":"-M$38*M63","v":3.4693667763157479E-2},"ft-k"]
[null,"CO",{"$f":"+D64/2","v":1.5612150493421056E-2},{"$f":"+C64/2","v":-1.5612150493421056E-2},{"$f":"+F64/2","v":-1.4050935444078949E-2},{"$f":"+E64/2","v":1.4050935444078949E-2},"ft-k",null,"CO",{"$f":"+K64/2","v":-1.9274259868421056E-2},{"$f":"+J64/2","v":1.9274259868420823E-2},{"$f":"+M64/2","v":1.734683388157874E-2},{"$f":"+L64/2","v":-1.7346833881578951E-2},"ft-k"]
[null,"Sum",{"$f":"+C63+C64+C65","v":1.5612150493421056E-2},{"$f":"+D63+D64+D65","v":-10.806730571546051},{"$f":"+E63+E64+E65","v":10.777067485608551},{"$f":"+F63+F64+F65","v":1.4050935444078949E-2},"ft-k",null,"Sum",{"$f":"+J63+J64+J65","v":-1.9274259868421056E-2},{"$f":"+K63+K64+K65","v":-14.783357319078945},{"$f":"+L63+L64+L65","v":14.819978412828945},{"$f":"+M63+M64+M65","v":-1.7346833881578951E-2},"ft-k"]
[null,"Reactions",{"$f":"+C36*C34/2+(C66+D66)/C34","v":5.9506578947368425},{"$f":"+C36*C34/2-(C66+D66)/C34","v":7.5493421052631575},{"$f":"+E36*E34/2+(E66+F66)/E34","v":0.71940789473684197},{"$f":"+E36*E34/2-(E66+F66)/E34","v":-0.71940789473684197},null,null,"Reactions",{"$f":"+J36*J34/2+(J66+K66)/J34","v":-1.0964912280701753},{"$f":"+J36*J34/2-(J66+K66)/J34","v":1.0964912280701753},{"$f":"+L36*L34/2+(L66+M66)/L34","v":8.4868421052631575},{"$f":"+L36*L34/2-(L66+M66)/L34","v":6.5131578947368425}]
[]
[null,"Moment Envelope Calculation & Capacity Data"]
[null,null,null,null,null,null,null,null,"w/o Plates",null,null,"w/Plates"]
[null,"x","x","LC 1","LC 2","D","Lower","Upper","+Mn / W","-Mn / W","Req'd/Act","+Mn / W","-Mn / W"]
[null,"(ft)","(ft)","(ft-k)","(ft-k)","(ft-k)","(ft-k)","(ft-k)","(ft-k)","(ft-k)",null,"(ft-k)","(ft-k)"]
[null,0,{"$f":"+B73","v":0},{"$f":"+C$67*B73-C$66-C$36*B73^2/2","v":-1.5612150493421056E-2},{"$f":"+J$67*B73-J$66-J$36*B73^2/2","v":1.9274259868421056E-2},{"$f":"+(D73+E73)*C$13","v":8.7890625E-3},{"$f":"+F73+MIN(0,D73)*C$14+MIN(0,E73)*C$14","v":-1.9312808388157902E-2},{"$f":"+F73+MAX(0,D73)*C$14+MAX(0,E73)*C$14","v":4.3482730263157902E-2},{"$f":"+M126/G10","v":82.834331337325352},{"$f":"-I73","v":-82.834331337325352},{"$f":"ABS(G73)/ABS(J73)","v":2.3314980728836407E-4},{"$f":"+I73","v":82.834331337325352},{"$f":"+J73","v":-82.834331337325352}]
[null,{"$f":"+C34/10","v":1.35},{"$f":"+B74","v":1.35},7.1065260074013166,{"$f":"+J$67*B74-J$66-J$36*B74^2/2","v":-1.4609888980263157},{"$f":"+(D74+E74)*C$13","v":13.549289062500002},{"$f":"+F74+MIN(0,D74)*C$14+MIN(0,E74)*C$14","v":10.919509046052633},{"$f":"+F74+MAX(0,D74)*C$14+MAX(0,E74)*C$14","v":26.341035875822371},{"$f":"+I73","v":82.834331337325352},{"$f":"-I74","v":-82.834331337325352},{"$f":"ABS(G74)/ABS(J74)","v":0.13182347065234623},82.834331337325352,-82.834331337325352]
[null,{"$f":"+B74+B$74","v":2.7},2.7,12.406164165296055,-2.9412520559210522,22.715789062500008,17.421535361842114,45.046884560032908,{"$f":"+I74","v":82.834331337325352},-82.834331337325352,0.21031781244055178,82.834331337325352,-82.834331337325352]
[null,{"$f":"+B75+B$74","v":4.0500000000000007},4.0500000000000007,15.883302323190792,-4.4215152138157894,27.508289062500005,19.549561677631583,56.098233244243431,82.834331337325352,-82.834331337325352,0.23600796145767283,82.834331337325352,-82.834331337325352]
[null,5.4,5.4,17.537940481085531,-5.9017783717105257,27.926789062500013,17.303587993421068,59.49508192845397,82.834331337325352,-82.834331337325352,0.20889391770370977,82.834331337325352,-82.834331337325352]
[null,6.75,6.75,17.370078638980267,-7.3820415296052619,23.971289062500013,10.68361430921054,55.237430612664497,82.834331337325352,-82.834331337325352,0.12897568117866218,82.834331337325352,-82.834331337325352]
[null,8.1,8.1,15.379716796875002,-8.8623046874999982,15.641789062500008,-0.31035937499998845,43.32527929687501,82.834331337325352,-82.834331337325352,3.7467481174697399E-3,82.834331337325352,-82.834331337325352]
[null,9.4499999999999993,9.4499999999999993,11.566854954769752,-10.342567845394735,2.9382890625000426,-15.67833305921048,23.758627981085599,82.834331337325352,-82.834331337325352,0.18927337018468554,82.834331337325352,-82.834331337325352]
[null,10.799999999999999,10.799999999999999,5.9314931126644765,-11.822831003289471,-14.139210937499985,-35.420306743421037,-3.4625233347039277,82.834331337325352,-82.834331337325352,0.42760418502298647,82.834331337325352,-82.834331337325352]
["Start",12,{"$f":"+B82","v":12},{"$f":"+C$67*B82-C$66-C$36*B82^2/2","v":-0.60771741365131504},{"$f":"+J$67*B82-J$66-J$36*B82^2/2","v":-13.138620476973681},{"$f":"+(D82+E82)*C$13","v":-32.991210937499993},{"$f":"+F82+MIN(0,D82)*C$14+MIN(0,E82)*C$14","v":-57.734619140624986},{"$f":"+F82+MAX(0,D82)*C$14+MAX(0,E82)*C$14","v":-32.991210937499993},{"$f":"+I81","v":82.834331337325352},-82.834331337325352,{"$f":"ABS(G82)/ABS(J82)","v":0.69698901661332813},82.834331337325352,-82.834331337325352]
[null,{"$f":"+B82","v":12},{"$f":"+B83","v":12},{"$f":"+C$67*B83-C$66-C$36*B83^2/2","v":-0.60771741365131504},{"$f":"+J$67*B83-J$66-J$36*B83^2/2","v":-13.138620476973681},{"$f":"+(D83+E83)*C$13","v":-32.991210937499993},{"$f":"+F83+MIN(0,D83)*C$14+MIN(0,E83)*C$14","v":-57.734619140624986},{"$f":"+F83+MAX(0,D83)*C$14+MAX(0,E83)*C$14","v":-32.991210937499993},{"$f":"+I82","v":82.834331337325352},-82.834331337325352,{"$f":"ABS(G83)/ABS(J83)","v":0.69698901661332813},{"$f":"-M83","v":108.93837325349301},{"$f":"+M84","v":-108.93837325349301}]
[null,{"$f":"+B81+B$74","v":12.149999999999999},12.149999999999999,-1.5263687294407902,-13.303094161184207,-35.590710937499992,-62.283744140624989,-35.590710937499992,{"$f":"+I81","v":82.834331337325352},-82.834331337325352,0.75190736902296673,{"$f":"-M84","v":108.93837325349301},{"$f":"+M85","v":-108.93837325349301}]
[null,12.791803066382498,12.791803066382498,-5.7110810901617981,-14.006825593621157,-47.322976041079095,-82.815208071888406,-47.322976041079095,{"$f":"+I84","v":82.834331337325352},-82.834331337325352,{"$f":"ABS(G85)/ABS(J85)","v":0.99976913841002624},108.93837325349301,{"$f":"+J85-(C146/G10)","v":-108.93837325349301}]
[null,{"$f":"+B84+B$74","v":13.499999999999998},13.499999999999998,-10.806730571546026,-14.783357319078943,-61.416210937499926,-107.47836914062488,-61.416210937499926,{"$f":"+I84","v":82.834331337325352},-82.834331337325352,1.2975099503482665,108.93837325349301,{"$f":"+M85","v":-108.93837325349301}]
[null,0,{"$f":"+C$86+B87","v":13.499999999999998},{"$f":"+E$67*B87-E$66-E$36*B87^2/2","v":-10.777067485608551},{"$f":"+L$67*B87-L$66-L$36*B87^2/2","v":-14.819978412828945},-61.432910156249989,-107.50759277343749,-61.432910156249989,82.834331337325352,-82.834331337325352,1.2978627464937875,108.93837325349301,{"$f":"+M86","v":-108.93837325349301}]
[null,0.66183331545781954,{"$f":"+C$86+B88","v":14.161833315457818},{"$f":"+E$67*B88-E$66-E$36*B88^2/2","v":-10.300939373468337},{"$f":"+L$67*B88-L$66-L$36*B88^2/2","v":-9.4221152332605538},{"$f":"+(D88+E88)*C$13","v":-47.335331056149336},{"$f":"+F88+MIN(0,D88)*C$14+MIN(0,E88)*C$14","v":-82.836829348261332},{"$f":"+F88+MAX(0,D88)*C$14+MAX(0,E88)*C$14","v":-47.335331056149336},{"$f":"+I87","v":82.834331337325352},-82.834331337325352,{"$f":"ABS(G88)/ABS(J88)","v":1.0000301567103356},108.93837325349301,{"$f":"+M87","v":-108.93837325349301}]
[null,{"$f":"+E34/10","v":1.5},{"$f":"+C$86+B89","v":14.999999999999998},{"$f":"+E$67*B89-E$66-E$36*B89^2/2","v":-9.6979556435032883},{"$f":"+L$67*B89-L$66-L$36*B89^2/2","v":-3.2147152549342088},-30.990410156249993,-54.233217773437488,-30.990410156249993,{"$f":"+I87","v":82.834331337325352},-82.834331337325352,0.65471908685523328,108.93837325349301,{"$f":"+M88","v":-108.93837325349301}]
["End",1.5,{"$f":"+C$86+B90","v":14.999999999999998},{"$f":"+E$67*B90-E$66-E$36*B90^2/2","v":-9.6979556435032883},{"$f":"+L$67*B90-L$66-L$36*B90^2/2","v":-3.2147152549342088},{"$f":"+(D90+E90)*C$13","v":-30.990410156249993},{"$f":"+F90+MIN(0,D90)*C$14+MIN(0,E90)*C$14","v":-54.233217773437488},{"$f":"+F90+MAX(0,D90)*C$14+MAX(0,E90)*C$14","v":-30.990410156249993},{"$f":"+I88","v":82.834331337325352},-82.834331337325352,{"$f":"ABS(G90)/ABS(J90)","v":0.65471908685523328},{"$f":"+L89","v":108.93837325349301},{"$f":"+M89","v":-108.93837325349301}]
[null,{"$f":"+B90","v":1.5},{"$f":"+C$86+B91","v":14.999999999999998},{"$f":"+E$67*B91-E$66-E$36*B91^2/2","v":-9.6979556435032883},{"$f":"+L$67*B91-L$66-L$36*B91^2/2","v":-3.2147152549342088},{"$f":"+(D91+E91)*C$13","v":-30.990410156249993},{"$f":"+F91+MIN(0,D91)*C$14+MIN(0,E91)*C$14","v":-54.233217773437488},{"$f":"+F91+MAX(0,D91)*C$14+MAX(0,E91)*C$14","v":-30.990410156249993},{"$f":"+I89","v":82.834331337325352},-82.834331337325352,{"$f":"ABS(G91)/ABS(J91)","v":0.65471908685523328},{"$f":"+I91","v":82.834331337325352},{"$f":"+J91","v":-82.834331337325352}]
[null,{"$f":"+B89+B$89","v":3},16.5,-8.6188438013980253,6.1405479029605274,-5.9479101562499945,-21.461828998766443,5.1050760690789545,{"$f":"+I89","v":82.834331337325352},-82.834331337325352,0.25909340550318044,82.834331337325352,-82.834331337325352]
[null,{"$f":"+B92+B$89","v":4.5},18,-7.5397319592927623,13.24581106085526,13.694589843749995,0.12307231702302168,37.537049753289466,82.834331337325352,-82.834331337325352,1.4857645982779243E-3,82.834331337325352,-82.834331337325352]
[null,6,19.5,-6.4606201171874993,18.10107421875,27.937089843750002,16.307973632812505,60.519023437500003,82.834331337325352,-82.834331337325352,0.19687457325395336,82.834331337325352,-82.834331337325352]
[null,7.5,21,-5.3815082750822363,20.70633737664474,36.77958984375001,27.092874948601985,74.050997121710537,82.834331337325352,-82.834331337325352,0.32707302046384562,82.834331337325352,-82.834331337325352]
[null,9,22.5,-4.3023964329769733,21.061600534539465,40.222089843749977,32.477776264391423,78.132970805921019,82.834331337325352,-82.834331337325352,0.39208110622795428,82.834331337325352,-82.834331337325352]
[null,10.5,24,-3.2232845908717103,19.166863692434205,38.264589843749988,32.462677580180909,72.764944490131569,82.834331337325352,-82.834331337325352,0.39189883054628033,82.834331337325352,-82.834331337325352]
[null,12,25.5,-2.1441727487664473,15.022126850328945,30.907089843749993,27.047578895970389,57.946918174342095,82.834331337325352,-82.834331337325352,0.32652619341882322,82.834331337325352,-82.834331337325352]
[null,13.5,27,-1.0650609066611842,8.627390008223685,18.14958984375,16.232480211759867,33.678891858552632,82.834331337325352,-82.834331337325352,0.19596319484558297,82.834331337325352,-82.834331337325352]
[null,15,28.5,1.405093544407876E-2,-1.7346833881575208E-2,-7.9101562499914735E-3,-3.9134457236826847E-2,1.7381527549350295E-2,82.834331337325352,-82.834331337325352,4.7244248375060842E-4,82.834331337325352,-82.834331337325352]
[null,null,null,null,null,"Peak:",{"$f":"MIN(G73:G100)","v":-107.50759277343749},{"$f":"MAX(H73:H100)","v":78.132970805921019}]
[]
[]
[null,"End Reaction Envelope Values"]
[null,null,"AB","BA","BC","CB"]
[null,"D",{"$f":"(J67+C67)*$C13","v":11.65},{"$f":"(K67+D67)*$C13","v":20.749999999999996},{"$f":"(L67+E67)*$C13","v":22.094999999999995},{"$f":"(M67+F67)*$C13","v":13.904999999999999},"k"]
[null,"Upper",{"$f":"+C106+(MAX(0,C67)+MAX(0,J67))*$C14","v":22.361184210526318},{"$f":"+D106+(MAX(0,D67)+MAX(0,K67))*$C14","v":36.312499999999993},{"$f":"+E106+(MAX(0,E67)+MAX(0,L67))*$C14","v":38.666249999999991},{"$f":"+F106+(MAX(0,F67)+MAX(0,M67))*$C14","v":25.628684210526316},"k"]
[null,"Lower",{"$f":"+C106+(MIN(0,C67)+MIN(0,J67))*$C14","v":9.6763157894736853},{"$f":"+D106+(MIN(0,D67)+MIN(0,K67))*$C14","v":20.749999999999996},{"$f":"+E106+(MIN(0,E67)+MIN(0,L67))*$C14","v":22.094999999999995},{"$f":"+F106+(MIN(0,F67)+MIN(0,M67))*$C14","v":12.610065789473683},"k"]
[]
[null,"Design Shear, Va",null,{"$f":"MAX(C107:F108)","v":38.666249999999991},"k"]
[null,"Req'd Vn = Va W",null,{"$f":"+D110*F10","v":57.999374999999986},"k"]
[]
["Select the base section for peak positive moment"]
[null,"Select the section for Ma",null,null,{"$f":"+H101","v":78.132970805921019},"ft-k"]
[null,"Req'd Mn = Ma W",null,null,{"$f":"+E114*G10","v":130.4820612458881},"ft-k"]
[null,"Req'd Zx",null,null,{"$f":"12*E115/C17","v":31.315694699013147},"in3"]
[]
[null,"From SCM pg 3-18, use",null,null,"W14x22",null,"Shear Strength",null,null,null,"Flexural Strength"]
[null,null,"wt/ft",null,{"$f":"VLOOKUP(E118,StlSects,4)","v":22},"lb/ft","kv",null,{"$f":"IF(E122<260,5,\"Need Stiffeners\")","v":5},null,"Flexural Plastic Strength"]
[null,null,"d",null,{"$f":"VLOOKUP(E118,StlSects,6)","v":13.7},"in","sqrt(kvE/Fy)",null,{"$f":"+SQRT(I119*29000/$C17)","v":53.851648071345039},null,"  Mp = FyZx =",null,{"$f":"+ $C17*$E125/12","v":138.33333333333334},"ft-k"]
[null,null,"tw",null,{"$f":"VLOOKUP(E118,StlSects,12)","v":0.23},"in","Cv1",null,{"$f":"IF(E122<=1.1*I120,1,IF(E122<=1.37*I120,1.1*I120/E122,1.51*29000*I119/$C17/(E122^2)))","v":1},null,"Flange Local Buckling"]
[null,null,"h/tw",null,{"$f":"VLOOKUP(E118,StlSects,27)","v":53.3},null,"Vn",null,{"$f":"0.6*C17*E120*I121*E121","v":94.53},"k","  lp",null,{"$f":"0.38*SQRT(29000/$C17)","v":9.1516118798821449}]
[null,null,"Ix",null,{"$f":"VLOOKUP(E118,StlSects,30)","v":199},"in4","Req'd Vn / Vn",null,{"$f":"+D111/I122","v":0.61355522056489986},{"$f":"IF(I123<=1,\"Good\",\"No Good\")","v":"Good"},"  lr",null,{"$f":"1*SQRT(29000/$C17)","v":24.083189157584592}]
[null,null,"Sx",null,{"$f":"VLOOKUP(E118,StlSects,32)","v":29},"in3",null,null,null,null,"  Mr = .7FySx =",null,{"$f":"0.7*E124*$C17/12","v":84.583333333333329},"ft-k"]
[null,null,"Zx",null,{"$f":"VLOOKUP(E118,StlSects,31)","v":33.200000000000003},"in3",null,null,null,null,"  class",null,{"$f":"IF(E128<=M122,\"Compact\",IF(E128<=M123,\"Non C.\",\"Slend.\"))","v":"Compact"}]
[null,null,"bf",null,{"$f":"VLOOKUP(E118,StlSects,9)","v":5},"in",null,null,null,null,"  Mn",null,{"$f":"MIN(M120-(M120-M124)*(E128-M122)/(M123-M122),M120)","v":138.33333333333334},"ft-k"]
[null,null,"tf",null,{"$f":"VLOOKUP(E118,StlSects,13)","v":0.33500000000000002},"in",null,null,null,null,"Req'd Mn / Mn ",null,{"$f":"+E115/M126","v":0.9432438162353356},{"$f":"IF(M127<=1,\"Good\",\"No Good\")","v":"Good"}]
[null,null,"bf/2tf",null,{"$f":"VLOOKUP(E118,StlSects,25)","v":7.46}]
[]
["Design the cover plates"]
[]
[null,"Design Moment, Ma",null,null,{"$f":"-G101","v":107.50759277343749},"ft-k",null,"Compact Criteria"]
[null,"Req'd Mn",null,null,{"$f":"+E132*G10","v":179.53767993164061},"ft-k",null,"(SCM Table B4.1b, Case 18)"]
[null,"Req'd Mn for cover plates",null,null,{"$f":"+E133-M126","v":41.204346598307268},"ft-k"]
[null,"Req'd Z",null,null,{"$f":"12*E134/C17","v":9.8890431835937438},"in3",null,"  lp",{"$f":"1.12*SQRT(29000/C17)","v":26.973171856494744}]
[]
[null,"t","b.compute","b.use","b/t","(b/t)/ lp"]
[null,"(in)","(in)","(in)"]
[null,0.125,{"$f":"+E$135/(B139*(E$120+B139))","v":5.7224119688065063},5.75,{"$f":"+D139/B139","v":46},{"$f":"+E139/I$135","v":1.7053982469964457},{"$f":"IF(F139<=1,\"Good\",\"No Good\")","v":"No Good"}]
[null,{"$f":"0.125+B139","v":0.25},{"$f":"+E$135/(B140*(E$120+B140))","v":2.835567937948027},3,{"$f":"+D140/B140","v":12},{"$f":"+E140/I$135","v":0.44488649921646406},{"$f":"IF(F140<=1,\"Good\",\"No Good\")","v":"Good"},"<--- use (2) 1/4\" x 3\" plates"]
[null,{"$f":"0.125+B140","v":0.375},{"$f":"+E$135/(B141*(E$120+B141))","v":1.8735901828004726},1.875,{"$f":"+D141/B141","v":5},{"$f":"+E141/I$135","v":0.18536937467352671},{"$f":"IF(F141<=1,\"Good\",\"No Good\")","v":"Good"}]
[null,{"$f":"0.125+B141","v":0.5},{"$f":"+E$135/(B142*(E$120+B142))","v":1.3928229836047528},1.5,{"$f":"+D142/B142","v":3},{"$f":"+E142/I$135","v":0.11122162480411601},{"$f":"IF(F142<=1,\"Good\",\"No Good\")","v":"Good"}]
[null,{"$f":"0.125+B142","v":0.625},{"$f":"+E$135/(B143*(E$120+B143))","v":1.104535364310645},1.125,{"$f":"+D143/B143","v":1.8},{"$f":"+E143/I$135","v":6.6732974882469612E-2},{"$f":"IF(F143<=1,\"Good\",\"No Good\")","v":"Good"}]
[]
[null,"Zx,PL",{"$f":"+D140*B140*(E120+B140)","v":10.462499999999999},"in3"]
[null,"Mn,PL",{"$f":"+C145*C17/12","v":43.593749999999993},"ft-k"]
[null,"Req'd/Allow",{"$f":"+E134/C146","v":0.94518931264934247},{"$f":"IF(C147<=1,\"Good\",\"No Good\")","v":"Good"}]
[]
["Design weld of cover plates to beam"]
[]
[null,"max size fillet weld, amax",null,null,{"$f":"+B140-1/16","v":0.1875},"in"]
[null,"min allowed size, amin",null,null,{"$f":"3/16","v":0.1875},"in"]
[null,"Use, a",null,null,{"$f":"+E151","v":0.1875},"in"]
[null,"FEXX",null,null,70,"ksi"]
[null,"rn",null,null,{"$f":"0.6*E154*0.7071*E153","v":5.5684124999999991},"k/in of weld"]
[]
[null,"Compute Shear flow"]
[null,null,"Q",{"$f":"+B140*D140*(B140+E120)/2","v":5.2312499999999993},"in3"]
[null,null,"V",{"$f":"+D111","v":57.999374999999986},"k"]
[null,null,"I",{"$f":"+E123+D140*((E120+2*B140)^3-E120^3)/12","v":271.98374999999999},"in4"]
[null,null,"q",{"$f":"+D159*D158/D160","v":1.1155417574349569},"k/in of cover plate"]
[]
[null,"Weld capacity",null,{"$f":"+E155*2","v":11.136824999999998},"k/in per pair of welds"]
[null,"spacing of 1\" welds"]
[null,null,"strength",{"$f":"+D163/D161","v":9.983333143537072},"in O.C."]
[null,null,"buckling",{"$f":"+PI()*B140*SQRT(29000/3/C17)","v":10.920518295689833},"in O.C."]
[]
[null,"Use 1\" long, 3/16\" fillet welds spaced 9\" in O.C. along both sides of ea. cover plate."]
[]
["Determine the length of the plates"]
[]
[null,"Added basic W section capacity to table and graph above then solved for locations of intersection using goal seek."]
[]
[null,null,"Req'd","Use"]
[null,null,"(ft)","(ft)"]
[null,"Start",{"$f":"+C85","v":12.791803066382498},12]
[null,"End",{"$f":"+C88","v":14.161833315457818},15]
[]
[null,null,"Dist btwn inflection pnts",{"$f":"+C177-C176","v":1.3700302490753202},"(ft)"]
[null,"Plate strength, FyApl =",null,{"$f":"+C17*D140*B140","v":37.5},"kips",null,"Use 4\" of 3/16\" on ea. Side of each"]
[null,null,"req'd dbl weld length =",{"$f":"+D180/E155/2","v":3.3672074401815602},"in",null,"end of the cover plate."]
[null,"min requ'd length",null,{"$f":"+D179+2*D181/12","v":1.9312314891055804},"ft"]
[]
[null,"Use Length",null,{"$f":"+D177-D176","v":3},"ft centered on the support"]
[]
[]
["Final Design:"]
[]
[null,"See section drawing."]
[null,"Plate to be centered on middle support."]

{"sheet":"Example 8.6","index":6,"n_rows":156,"n_cols":10,"rows_kept":156,"cut":false,"hidden":false,"merged":[]}
["A Beginners Guide to the Steel Construction Manual, 16th Edition",null,null,null,null,null,null,"last modified:  30 May 2023"]
["Example 8.6",null,null,null,null,null,null,"by:  TBQ"]
[]
[]
[]
[]
[]
[]
[null,"Beam Size","W18x35"]
[]
[null,"Steel Types"]
[null,"Item",null,"Fy"]
[null,null,null,"(ksi)"]
[null,"W section","A992",{"$f":"VLOOKUP(C14,StlProps,2)","v":50}]
[null,"Plate","A36",{"$f":"VLOOKUP(C15,StlProps,2)","v":36}]
[]
[null,"f'c",3000,"psi"]
[]
[null,null,"Shear"]
[null,"f",null,null,"Wall t",10,"in"]
[null,"W",1.5,null,"Column d",8,"in"]
[]
[]
[]
[]
[]
[]
[]
["Solution:"]
[]
[null,"Solution Summary:  Calculations follow"]
[]
[null,"Part","N","B","t"]
[null,null,"(in)","(in)","(in)"]
[null,"a",{"$f":"+C64","v":10},{"$f":"+C75","v":4.75},{"$f":"+C83","v":0.625}]
[null,"b",{"$f":"+C100","v":22.5},{"$f":"+C109","v":6},{"$f":"+C117","v":2}]
[null,"c",{"$f":"+C136","v":5},{"$f":"+C147","v":4},{"$f":"+C155","v":0.625}]
[]
[]
[null,"Beam Section Properties",null,null,null,"Shear Strength"]
[null,"d",null,{"$f":"VLOOKUP(C9,StlSects,6)","v":17.7},"in","kv",null,{"$f":"IF(D43<260,5,\"Need Stiffeners\")","v":5}]
[null,"tw",null,{"$f":"VLOOKUP(C9,StlSects,12)","v":0.3},"in","sqrt(kvE/Fy)",null,{"$f":"+SQRT(H41*29000/D14)","v":53.851648071345039}]
[null,"h/tw",null,{"$f":"VLOOKUP(C9,StlSects,27)","v":53.5},null,"Cv1",null,{"$f":"IF(D43<=1.1*H42,1,IF(D43<=1.37*H42,1.1*H42/D43,1.51*29000*H41/#REF!/(D43^2)))","v":1}]
[null,"k",null,{"$f":"VLOOKUP(C9,StlSects,17)","v":0.82699999999999996},"in","Vn",null,{"$f":"0.6*D14*D41*H43*D42","v":159.29999999999998},null,"k"]
[null,"bf",null,{"$f":"VLOOKUP(C9,StlSects,9)","v":6},"in"]
[null,"tf",null,{"$f":"VLOOKUP(C9,StlSects,13)","v":0.42499999999999999},"in"]
[]
["Part (a)","Req'd Rn",{"$f":"0.75*H44","v":119.47499999999999},"k = 75% Vn"]
[]
[null,"Compute req'd N"]
[null,"Web Local Yielding",null,null,"Web Crippling"]
[null,"Solve SCM Eq J10-3 for lb",null,null,"Solve SCM Eq J10-5 for lb"]
[null,"lb >=",{"$f":"+C48/D$14/D$42-2.5*D$44","v":5.8975},"in","temp. #",{"$f":"0.4*(D$42^2)*SQRT(29000*D$14*D$46/D$42)","v":51.59651150998485}]
[]
[null,null,null,null,"Equation","N","N/d"]
[null,null,null,null,null,"(in)"]
[null,null,null,null,"J10-5a",{"$f":"(C48/F53-1)/3/((D$42/D$46)^1.5)*D$41","v":13.087760771632114},{"$f":"+F57/D$41","v":0.73942151252158839},{"$f":"IF(G57<=0.2,\"Use this one\",\"DON'T USE THIS ONE!!!\")","v":"DON'T USE THIS ONE!!!"}]
[null,null,null,null,"J10-5b",{"$f":"((+C48/F53-1)/((D$42/D$46)^1.5)+0.2)*D$41/4","v":10.700820578724086},{"$f":"+F58/D$41","v":0.60456613439119133},{"$f":"IF(G58<=0.2,\"J10-5a\",\"J10-5b\")","v":"J10-5b"}]
[]
[null,null,null,null,"lb > =",{"$f":"IF(G57<=0.2,F57,F58)","v":10.700820578724086},"in"]
[]
[null,"The available wall width is 10\" so bearing stiffeners are required, but not part of this problem."]
[]
[null,"Use N:",10,"in"]
[null,"Req'd / Act",{"$f":"MAX(C53,F60)/C64","v":1.0700820578724086},{"$f":"IF(C65<=1,\"Good\",IF(C65<=1.03,\"Close\",\"No Good, Use bearing stiffeners\"))","v":"No Good, Use bearing stiffeners"}]
[]
[null,"Compute req'd plate width, B"]
[null,"Since the bearing plate is the full width of the wall, A1 = A2 in SCM Eq J8-2,  "]
[null,"Equation J8-2 becomes equation J8-1 when A1 = A2."]
[]
[null,"N1 =",{"$f":"+C64","v":10},"in"]
[null,"N2 =",{"$f":"+F20","v":10},"in"]
[null,"Req'd B >=",{"$f":"+C48/(C$17/1000*MIN(0.85*C72,1.7*C71))","v":4.6852941176470582},"in"]
[]
[null,"Use B:",4.75,"in"]
[null,"Req'd / Act",{"$f":"+C73/C75","v":0.98637770897832799},{"$f":"IF(C76<=1,\"Good\",IF(C76<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
[null,"Compute req'd plate thickness, t"]
[null,"(B-C)/2 =",{"$f":"+(C75/2-D$44)","v":1.548},"in"]
[null,"t >=",{"$f":"+C79*SQRT(2*C48/D$15/C64/C75)","v":0.57866393846878905},"in"]
[null,null,{"$f":"+C80*16","v":9.2586230155006248},"/ 16 inch"]
[]
[null,"Use t:",{"$f":"10/16","v":0.625},"in"]
[null,"Req'd / Act",{"$f":"+C80/C83","v":0.92586230155006244},{"$f":"IF(C84<=1,\"Good\",IF(C84<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
["Part (b)","Req'd Rn",{"$f":"1.25*H44","v":199.12499999999997},"k = 125% Vn"]
[]
[null,"Compute req'd N"]
[null,"Web Local Yielding",null,null,"Web Crippling"]
[null,"Solve SCM Eq J10-2 for lb",null,null,"Solve SCM Eq J10-5 for lb"]
[null,"lb >=",{"$f":"+C86/D$14/D$42-5*D$44","v":9.1399999999999988},"in","temp. #",{"$f":"0.4*(D$42^2)*SQRT(29000*D$14*D$46/D$42)","v":51.59651150998485}]
[]
[null,null,null,null,"Equation","N","N/d"]
[null,null,null,null,null,"(in)"]
[null,null,null,null,"J10-5a",{"$f":"(C86/F91-1)/3/((D$42/D$46)^1.5)*D$41","v":28.445205650709514},{"$f":"+F95/D$41","v":1.6070737655768088},{"$f":"IF(G95<=0.2,\"Use this one\",\"DON'T USE THIS ONE!!!\")","v":"DON'T USE THIS ONE!!!"}]
[null,null,null,null,"J10-5b",{"$f":"((+C86/F91-1)/((D$42/D$46)^1.5)+0.2)*D$41/4","v":22.218904238032138},{"$f":"+F96/D$41","v":1.2553053241826067},{"$f":"IF(G96<=0.2,\"J10-5a\",\"J10-5b\")","v":"J10-5b"}]
[]
[null,null,null,null,"lb > =",{"$f":"IF(G95<=0.2,F95,F96)","v":22.218904238032138},"in"]
[]
[null,"Use N:",22.5,"in"]
[null,"Req'd / Act",{"$f":"MAX(C91,F98)/C100","v":0.98750685502365054},{"$f":"IF(C101<=1,\"Good\",IF(C101<=1.03,\"Close\",\"No Good, Use bearing stiffeners\"))","v":"Good"}]
[]
[null,"Determine plate width, B"]
[null,"This plate is not bearing on concrete."]
[null,"Selection of the plate width will depend more on matching sizes being joined."]
[null,"In this case we know the dimension of the column relative to beam span but not across the section."]
[null,"It is unlikely that the width will be more than the beam flange."]
[]
[null,"Use B:",6,"in"]
[]
[null,"Compute req'd plate thickness, t"]
[null,"(N-C)/2 =",{"$f":"+((C100-0.95*F21)/2)","v":7.45},"in"]
[null,"t >=",{"$f":"+C112*SQRT(2*C86/D14/C100/C109)","v":1.8095987124221766},"in"]
[null,null,{"$f":"+C113*16","v":28.953579398754826},"/ 16 inch"]
[null,null,{"$f":"+C114/2","v":14.476789699377413},"/ 8 inch"]
[null,null,{"$f":"+C115/2","v":7.2383948496887065}," / 4 inch"]
[null,"Use t:",2,"in"]
[null,"Req'd / Act",{"$f":"+C113/C117","v":0.90479935621108831},{"$f":"IF(C118<=1,\"Good\",IF(C118<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
["Part (c)","Req'd Rn",{"$f":"0.5*H44","v":79.649999999999991},"k = 50% Vn"]
[]
[null,"Compute req'd N"]
[null,"Web Local Yielding",null,null,"Web Crippling"]
[null,"Solve SCM Eq J10-3 for lb",null,null,"Solve SCM Eq J10-5 for lb"]
[null,"lb >=",{"$f":"+C120/D$14/D$42-2.5*D$44","v":3.2424999999999997},"in","temp. #",{"$f":"0.4*(D$42^2)*SQRT(29000*D$14*D$46/D$42)","v":51.59651150998485}]
[]
[null,null,null,null,"Equation","N","N/d"]
[null,null,null,null,null,"(in)"]
[null,null,null,null,"J10-5a",{"$f":"(C120/F125-1)/3/((D$42/D$46)^1.5)*D$41","v":5.4090383320934077},{"$f":"+F129/D$41","v":0.30559538599397784},{"$f":"IF(G129<=0.2,\"Use this one\",\"DON'T USE THIS ONE!!!\")","v":"DON'T USE THIS ONE!!!"}]
[null,null,null,null,"J10-5b",{"$f":"((+C120/F125-1)/((D$42/D$46)^1.5)+0.2)*D$41/4","v":4.941778749070056},{"$f":"+F130/D$41","v":0.2791965394954834},{"$f":"IF(G130<=0.2,\"J10-5a\",\"J10-5b\")","v":"J10-5b"}]
[]
[null,null,null,null,"lb > =",{"$f":"IF(G129<=0.2,F129,F130)","v":4.941778749070056},"in"]
[]
[null,"The available wall width is 10\" so bearing stiffeners are required, but not part of this problem."]
[]
[null,"Use N:",5,"in"]
[null,"Req'd / Act",{"$f":"MAX(C125,F132)/C136","v":0.9883557498140112},{"$f":"IF(C137<=1,\"Good\",IF(C137<=1.03,\"Close\",\"No Good, Use bearing stiffeners\"))","v":"Good"}]
[]
[null,"Compute req'd plate width, B"]
[null,"Place the plate in the center of the wall"]
[null,"Since the bearing plate is not the full width of the wall, A1 < A2 in SCM Eq J8-2,  "]
[]
[null,"N1 =",{"$f":"+C136","v":5},"in"]
[null,"N2 =",{"$f":"+F20","v":10},"in"]
[null,"Req'd B >=",{"$f":"+C120/(C$17/1000*MIN(0.85*C144,1.7*C143))","v":3.1235294117647054},"in"]
[]
[null,"Use B:",4,"in"]
[null,"Req'd / Act",{"$f":"+C145/C147","v":0.78088235294117636},{"$f":"IF(C148<=1,\"Good\",IF(C148<=1.03,\"Close\",\"No Good\"))","v":"Good"}]
[]
[null,"Compute req'd plate thickness, t"]
[null,"(B-C)/2 =",{"$f":"+(C147/2-D$44)","v":1.173},"in"]
[null,"t >=",{"$f":"+C151*SQRT(2*C120/D$15/C136/C147)","v":0.55174658245430031},"in"]
[null,null,{"$f":"+C152*16","v":8.8279453192688049},"/ 16 inch"]
[]
[null,"Use t:",0.625,"in <--- B chosen so that t comes out same thickness as for part (a)"]
[null,"Req'd / Act",{"$f":"+C152/C155","v":0.88279453192688051},{"$f":"IF(C156<=1,\"Good\",IF(C156<=1.03,\"Close\",\"No Good\"))","v":"Good"}]

{"sheet":"StlProps","index":7,"n_rows":10,"n_cols":3,"rows_kept":10,"cut":false,"hidden":true,"merged":[]}
[]
[null,"Fy","Fu"]
["A36",36,58]
["A36, PL of 8\" thick",32,58]
["A500 Gr B, Rect HSS",46,58]
["A500 Gr B, Rnd HSS",42,58]
["A53 Gr. B, Pipe",35,60]
["A572 Gr 50",50,65]
["A588",50,70]
["A992",50,65]

{"sheet":"ZxTables","index":8,"n_rows":366,"n_cols":19,"rows_kept":366,"cut":false,"hidden":true,"merged":[]}
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["----",{"$error":"#N/A"},null,null,null,"----",{"$error":"#N/A"},null,null,null,"----",{"$error":"#N/A"},null,null,null,"----",{"$error":"#N/A"}]
["HSS20X0.500",104,177,{"$f":"IF(AND(B5<B6,B5<B4),\"A Best Choice\",\" \")","v":{"$error":"#N/A"}},null,"HSS20X12X5/8",127,230,{"$f":"IF(AND(G5<G6,G5<G4),\"A Best Choice\",\" \")","v":{"$error":"#N/A"}},null,"MC18X58",58,95.4,null,null,"W36X800",800,3650,{"$f":"IF(AND(Q5<Q6,Q5<Q3),\"A Best Choice\",\" \")","v":" "}]
["HSS18X0.500",93.538739599071093,143,"A Best Choice",null,"HSS16X16X5/8",127,200," ",null,"MC18X51.9",51.9,87.3,{"$f":"IF(AND(L6<L7,L6<L5),\"A Best Choice\",\" \")","v":" "},null,"W36X652",652,2910,{"$f":"IF(AND(Q6<Q7,Q6<Q5),\"A Best Choice\",\" \")","v":" "}]
["HSS16X0.625",103,138," ",null,"HSS20X12X1/2",103,188,"A Best Choice",null,"MC18X45.8",45.8,79.2," ",null,"W40X593",593,2760," "]
["HSS20X0.375",78.672761341361593,135,"A Best Choice",null,"HSS20X8X5/8",110,185," ",null,"MC18X42.7",42.7,75.099999999999994,"A Best Choice",null,"W36X529",529,2330," "]
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["HSS14X0.625",89.362903009826852,105," ",null,"HSS20X8X1/2",89.553872091236158,152,"A Best Choice",null,"C15X40",40,57.5,"A Best Choice",null,"W40X431",431,1960,"A Best Choice"]
["HSS16X0.438",72.865673274359466,99," ",null,"HSS14X14X5/8",110,151," ",null,"MC12X50",50,56.5," ",null,"W36X441",442,1910," "]
["HSS16X0.375",62.637548838663676,85.5,"A Best Choice",null,"HSS20X12X3/8",78.447459836082203,144,"A Best Choice",null,"MC12X45",45,52," ",null,"W27X539",539,1890," "]
["HSS14X0.500",72.158456262140561,85.2," ",null,"HSS16X12X1/2",89.553872091236158,135," ",null,"MC13X40",40,51.2," ",null,"W40X397",397,1800," "]
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["HSS12.750X0.500",65.477117719349764,70.2," ",null,"HSS16X8X5/8",93.09940884635752,129," ",null,"MC12X40",40,47.7," ",null,"W40X392",392,1710," "]
["HSS14X0.375",54.619942587314732,65.099999999999994," ",null,"HSS16X16X3/8",78.447459836082203,126,"A Best Choice",null,"MC13X35",35,46.5," ",null,"W40X372",372,1680,"A Best Choice"]
["HSS16X0.250",42.092432819581994,57.9,"A Best Choice",null,"HSS14X14X1/2",89.553872091236158,124," ",null,"MC13X31.8",31.8,43.4,"A Best Choice",null,"W14X730",730,1660," "]
["HSS14X0.312",45.653917657281234,54.7," ",null,"HSS20X12X5/16",65.82026954877081,122,"A Best Choice",null,"MC12X35",35,43.2," ",null,"W40X362",362,1640," "]
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["HSS10X0.625",62.637548838663676,51.6," ",null,"HSS20X8X3/8",68.290592836082212,117,"A Best Choice",null,"MC10X41.1",41.1,39.299999999999997," ",null,"W33X387",387,1560," "]
["HSS10.750X0.500",54.786976050884491,49.2," ",null,"HSS20X4X1/2",75.942760980125044,115," ",null,"C12X30",30,33.799999999999997,"A Best Choice",null,"W36X361",361,1550,"A Best Choice"]
["HSS14X0.250",36.747361985349357,44.2,"A Best Choice",null,"HSS18X6X1/2",75.942760980125044,112," ",null,"MC10X33.6",33.6,33.700000000000003," ",null,"W14X665",665,1480," "]
["HSS10X0.500",50.778172925210022,42.3," ",null,"HSS12X12X5/8",93.138919179690859,109," ",null,"MC10X28.5",28.5,30," ",null,"W40X324",324,1460,"A Best Choice"]
["HSS9.625X0.500",48.773771362372784,39," ",null,"HSS16X16X5/16",65.82026954877081,106,"A Best Choice",null,"C12X25",25,29.4,"A Best Choice",null,"W30X391",391,1450," "]
["HSS10.750X0.375",41.591332428872683,37.799999999999997,"A Best Choice",null,"HSS16X8X1/2",75.942760980125044,106," ",null,"C10X30",30,26.7," ",null,"W40X331",331,1430,"A Best Choice"]
["HSS8.625X0.625",53.450708342326337,37.700000000000003," ",null,"HSS16X12X3/8",68.290592836082212,104,"A Best Choice",null,"MC10X25",25,26.2," ",null,"W33X354",354,1420," "]
["HSS12.750X0.250",33.406692713953966,36.5,"A Best Choice",null,"HSS14X10X1/2",75.942760980125044,98.8," ",null,"C12X20.7",20.7,25.6,"A Best Choice",null,"W36X330",330,1410," "]
["HSS10X0.375",38.58473008461683,32.5," ",null,"HSS20X8X5/16",57.313325104326367,98.6,"A Best Choice",null,"MC10X22",22,23.9," ",null,"W40X327",327,1410," "]
["HSS8.625X0.500",43.428700528140148,31," ",null,"HSS14X14X3/8",68.239126502748874,95.4," ",null,"MC9X25.4",25.4,23.5," ",null,"W44X290",290,1410,"A Best Choice"]
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["HSS10X0.312",32.312620855036563,27.4," ",null,"HSS12X12X1/2",75.942760980125044,89.6," ",null,"MC9X23.9",23.9,22.5," ",null,"W14X605",605,1320," "]
["HSS10.750X0.250",28.061621879721329,25.8,"A Best Choice",null,"HSS20X4X3/8",58.074092836082208,89.3,"A Best Choice",null,"C10X20",20,19.399999999999999,"A Best Choice",null,"W30X357",357,1320," "]
["HSS9.625X0.312",31.061874279826156,25.4," ",null,"HSS14X6X5/8",76.093686624135302,88.7," ",null,"MC8X22.8",22.8,19.100000000000001," ",null,"W36X302",302,1280,"A Best Choice"]
["HSS8.625X0.375",33.072625786814427,23.9," ",null,"HSS16X12X5/16",57.38320999321526,87.7,"A Best Choice",null,"MC8X21.4",21.4,18.2," ",null,"W33X318",318,1270," "]
["HSS7.500X0.500",37.415495839628434,23," ",null,"HSS18X6X3/8",58.074092836082208,86.4," ",null,"C9X20",20,16.899999999999999,"A Best Choice",null,"W40X294",294,1270," "]
["HSS10X0.250",26.057220316884091,22.2,{"$f":"IF(AND(B37<B38,B37<B36),\"A Best Choice\",\" \")","v":"A Best Choice"},null,"HSS16X8X3/8",58.074092836082208,82.1," ",null,"MC7X22.7",22.7,16.399999999999999," ",null,"W44X262",262,1270,"A Best Choice"]
["HSS8.625X0.322",28.580799299992023,20.8," ",null,"HSS12X8X5/8",76.125030290801973,82.1," ",null,"MC8X20",20,16.399999999999999,{"$f":"IF(AND(L38<L39,L38<L37),\"A Best Choice\",\" \")","v":" "},null,"W40X277",277,1250," "]
["HSS9.625X0.250",25.055019535465473,20.6,"A Best Choice",null,"HSS14X14X5/16",57.313325104326367,80.5,"A Best Choice",null,"C10X15.3",15.3,15.9,"A Best Choice",null,"W27X368",368,1240," "]
["HSS7X0.500",34.742960422512127,19.899999999999999," ",null,"HSS12X10X1/2",69.137205424569487,78.8," ",null,"MC8X18.7",18.7,15.6," ",null,"W30X326",326,1190," "]
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["HSS7.500X0.375",28.562722270430637,17.899999999999999,"A Best Choice",null,"HSS20X4X5/16",48.865376659881925,75.599999999999994,"A Best Choice",null,"C9X15",15,13.6," ",null,"W14X550",550,1180," "]
["HSS6.625X0.500",32.738558859674882,17.7," ",null,"HSS14X6X1/2",62.33164986901393,73.599999999999994," ",null,"C9X13.4",13.4,12.6,"A Best Choice",null,"W33X291",291,1160,"A Best Choice"]
["HSS10X0.188",19.719633969584432,16.8,"A Best Choice",null,"HSS10X10X5/8",76.125030290801973,73.2," ",null,"MC6X18",18,11.7," ",null,"W24X370",370,1130," "]
["HSS8.625X0.250",22.382484118349154,16.399999999999999," ",null,"HSS18X6X5/16",48.865376659881925,73.099999999999994,"A Best Choice",null,"MC12X10.6",10.6,11.6,"A Best Choice",null,"W27X336",336,1130," "]
["HSS7.625X0.328",25.585956111571452,16.399999999999999," ",null,"HSS14X4X5/8",67.5908255130242,73.099999999999994," ",null,"C8X13.7",13.7,11," ",null,"W40X264",264,1130," "]
["HSS6.625X0.432",28.600148456411937,15.6," ",null,"HSS16X8X5/16",48.865376659881925,69.400000000000006,"A Best Choice",null,"MC6X16.3",16.3,10.4," ",null,"W40X249",249,1120,"A Best Choice"]
["HSS9.625X0.188",18.965978981957644,15.5,"A Best Choice",null,"HSS12X12X3/8",58.030793169415539,69.2," ",null,"MC6X15.3",15.3,9.91," ",null,"W36X262",262,1100," "]
["HSS7X0.375",26.558320707593399,15.5," ",null,"HSS12X6X5/8",67.61808584635753,68.8," ",null,"MC6X15.1",15.1,9.83," ",null,"W44X230",230,1100,"A Best Choice"]
["HSS7.500X0.312",23.974310353633626,15.1,"A Best Choice",null,"HSS12X8X1/2",62.33164986901393,68.099999999999994," ",null,"C7X14.7",14.7,9.75," ",null,"W30X292",292,1060," "]
["HSS6.875X0.375",26.057220316884091,14.9," ",null,"HSS14X10X5/16",48.865376659881925,64.599999999999994,"A Best Choice",null,"C8X11.5",11.5,9.6300000000000008,"A Best Choice",null,"W14X500",500,1050," "]
["HSS6X0.500",29.397889588279483,14.3," ",null,"HSS10X8X5/8",67.61808584635753,62.2," ",null,"C7X12.2",12.2,8.4600000000000009," ",null,"W33X263",263,1040," "]
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["HSS7X0.312",22.306648253353057,13.1," ",null,"HSS12X10X3/8",52.926626502748874,61.1," ",null,"MC6X12",12,7.47," ",null,"W27X307",307,1030," "]
["HSS6.875X0.312",21.889732728282898,12.6," ",null,"HSS14X4X1/2",55.52609431345838,61," ",null,"C6X13",13,7.29," ",null,"W36X247",247,1030,"A Best Choice"]
["HSS8.625X0.188",16.956232348286186,12.4,"A Best Choice",null,"HSS10X10X1/2",62.33164986901393,60.7," ",null,"C7X9.8",9.8000000000000007,7.19," ",null,"W24X335",335,1020," "]
["HSS7.500X0.250",19.375881774093298,12.3," ",null,"HSS16X4X3/8",47.857592836082212,60.2," ",null,"MC8X8.5",8.5,6.95,"A Best Choice",null,"W40X235",235,1010," "]
["HSS5.563X0.500",27.062093633719819,12.1," ",null,"HSS18X6X1/4",39.47833963645126,59.4,"A Best Choice",null,"C6X10.5",10.5,6.18," ",null,"W40X215",215,964,"A Best Choice"]
["HSS5.500X0.500",26.725354171163168,11.8," ",null,"HSS12X12X5/16",48.806380659881917,58.6," ",null,"MC10X6.5",6.5,5.9,"A Best Choice",null,"W36X231",230,963," "]
["HSS6.625X0.312",21.055901678142611,11.7,"A Best Choice",null,"HSS9X9X5/8",67.61808584635753,58.1," ",null,"MC4x13.8",13.8,5.53," ",null,"W30X261",261,943," "]
["HSS6X0.375",22.549517581918924,11.2," ",null,"HSS12X6X1/2",55.52609431345838,57.4," ",null,"C6X8.2",8.1999999999999993,5.16," ",null,"W33X241",241,940,"A Best Choice"]
["HSS7X0.250",18.03961406553514,10.7,"A Best Choice",null,"HSS14X6X3/8",47.857592836082212,57.3," ",null,"MC6x7",7,4.5,"A Best Choice",null,"W14X455",455,936," "]
["HSS6.625X0.280",18.992105688195416,10.5," ",null,"HSS16X8X1/4",39.47833963645126,56.4,"A Best Choice",null,"C5X9",9,4.3899999999999997," ",null,"W27X281",281,936," "]
["HSS6.875X0.250",17.705547138395602,10.3,"A Best Choice",null,"HSS12X4X5/8",59.111141401913081,55.5," ",null,"MC6x6.5",6.5,4.28,"A Best Choice",null,"W36X232",232,936,"A Best Choice"]
["HSS5X0.500",24.052818754046854,9.6," ",null,"HSS12X8X3/8",47.82245983608221,53," ",null,"C5X6.7",6.7,3.55," ",null,"W24X306",306,922," "]
["HSS6.625X0.250",17.037413284116521,9.52,"A Best Choice",null,"HSS14X10X1/4",39.47833963645126,52.4,"A Best Choice",null,"C4X7.2",7.2,2.84," ",null,"W40X211",211,906,"A Best Choice"]
["HSS5.563X0.375",20.797670615999177,9.5," ",null,"HSS10X8X1/2",55.52609431345838,51.9," ",null,"C4X5.4",5.4,2.29,"A Best Choice",null,"W14X426",426,869," "]
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["HSS7.500X0.188",14.695267385405808,9.34,"A Best Choice",null,"HSS10X6X5/8",59.111141401913081,51.3," ",null,"C4X4.5",4.5,2.12,"A Best Choice",null,"W33X221",221,857,{"$f":"IF(AND(Q70<Q71,Q70<Q69),\"A Best Choice\",\" \")","v":" "}]
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["HSS6X0.280",17.121330896213987,8.57," ",null,"HSS14X6X5/16",40.347543326548589,48.6," ",null,"C3X5",5,1.52," ",null,"W30X235",235,847,"A Best Choice"]
["HSS7X0.188",13.690394068570063,8.11," ",null,"HSS9X9X1/2",55.52609431345838,48.4," ",null,"C3X4.1",4.0999999999999996,1.32," ",null,"W24X279",279,835," "]
["HSS6.875X0.188",13.439175739361144,7.81,"A Best Choice",null,"HSS9X7X5/8",59.111141401913081,48.3," ",null,"C3X3.5",3.5,1.24,{"$f":"IF(AND(L74<IxTables!#REF!,L74<L73),\"A Best Choice\",\" \")","v":{"$error":"#REF!"}},null,"W36X210",210,833,"A Best Choice"]
["HSS6X0.250",15.367078648418822,7.75," ",null,"HSS14X4X3/8",42.749342836082214,47.8," ",null,null,null,null,null,null,"W14X398",398,801," "]
["HSS5X0.375",18.540714456244448,7.56," ",null,"HSS12X12X1/4",39.403015747562378,47.6,"A Best Choice",null,null,null,null,null,null,"W40X183",183,774,"A Best Choice"]
["HSS6.625X0.188",12.936739080943269,7.24,"A Best Choice",null,"HSS10X10X3/8",47.82245983608221,47.2," ",null,null,null,null,null,null,"W33X201",201,773," "]
["HSS5.563X0.258",14.631490000211729,6.8," ",null,"HSS12X4X1/2",48.720538757902816,46.7," ",null,null,null,null,null,null,"W27X235",235,772," "]
["HSS5.500X0.258",14.457732437532494,6.64,"A Best Choice",null,"HSS12X8X5/16",40.359570104326366,44.9,"A Best Choice",null,null,null,null,null,null,"W36X194",194,767,"A Best Choice"]
["HSS5X0.312",15.635999852230725,6.46," ",null,"HSS12X6X3/8",42.718293169415546,44.8," ",null,null,null,null,null,null,"W18x311",311,754," "]
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["HSS6X0.188",11.680647434898594,5.91," ",null,"HSS10X6X1/2",48.720538757902816,43," ",null,null,null,null,null,null,"W24X250",250,744," "]
["HSS7X0.125",9.1868404963373393,5.5,"A Best Choice",null,"HSS12X10X1/4",36.0002379697846,42.1," ",null,null,null,null,null,null,"W14X370",370,736," "]
["HSS4.500X0.337",14.997531141081645,5.5," ",null,"HSS16X4X1/4",32.659172969784599,41.7,"A Best Choice",null,null,null,null,null,null,"W36X182",182,718,"A Best Choice"]
["HSS5X0.258",13.078704162300477,5.44," ",null,"HSS14X4X5/16",36.088626659881918,40.6," ",null,null,null,null,null,null,"W27X217",217,711," "]
["HSS5X0.250",12.694543231302506,5.3," ",null,"HSS10X8X3/8",42.718293169415546,40.5," ",null,null,null,null,null,null,"W40X167",167,693,"A Best Choice"]
["HSS5.563X0.188",10.802388155984158,5.05," ",null,"HSS9X7X1/2",48.720538757902816,40.5," ",null,null,null,null,null,null,"W18x283",283,676," "]
["HSS6.625X0.125",8.6857401056280317,4.92,"A Best Choice",null,"HSS10X4X5/8",50.604196957468638,40.299999999999997," ",null,null,null,null,null,null,"W24X229",229,675," "]
["HSS5X0.188",9.6709008012271269,4.05," ",null,"HSS10X10X5/16",40.299436215437474,40.1," ",null,null,null,null,null,null,"W30X191",191,675,"A Best Choice"]
["HSS4.500X0.237",10.80058152204219,4.03," ",null,"HSS14X6X1/4",32.659172969784599,39.6,"A Best Choice",null,null,null,null,null,null,"W14X342",342,672," "]
["HSS6X0.125",7.850572787779182,4.0199999999999996,"A Best Choice",null,"HSS9X5X5/8",50.604196957468638,38.5," ",null,null,null,null,null,null,"W36X170",170,668,"A Best Choice"]
["HSS4X0.313",12.336754879800639,4.01," ",null,"HSS12X6X5/16",36.099292326548586,38.1,"A Best Choice",null,null,null,null,null,null,"W27X194",194,631," "]
["HSS5.563X0.134",7.7769284018251126,3.67,"A Best Choice",null,"HSS9X9X3/8",42.718293169415546,37.799999999999997," ",null,null,null,null,null,null,"W33X169",169,629," "]
["HSS4X0.250",10,3.31," ",null,"HSS8X8X1/2",48.720538757902816,37.5," ",null,null,null,null,null,null,"W36X160",160,624,"A Best Choice"]
["HSS4.500X0.188",8.6660274843913871,3.26,"A Best Choice",null,"HSS12X4X3/8",37.614126502748881,36.700000000000003," ",null,null,null,null,null,null,"W18x258",258,611," "]
["HSS4X0.237",9.533799734329051,3.15," ",null,"HSS12X8X1/4",32.597460192006821,36.6,"A Best Choice",null,null,null,null,null,null,"W30X173",173,607,"A Best Choice"]
["HSS4X0.226",9.1178783924340685,3.02,"A Best Choice",null,"HSS8X6X5/8",50.604196957468638,36.1," ",null,null,null,null,null,null,"W24X207",207,606," "]
["HSS3.500X0.313",10.663747708685825,3," ",null,"HSS12X12X3/16",29.819714187463362,36,"A Best Choice",null,null,null,null,null,null,"W12X336",336,603," "]
["HSS4X0.220",8.8899218114957161,2.96,"A Best Choice",null,"HSS12X3-1/2X3/8",36.338084836082217,34.700000000000003," ",null,null,null,null,null,null,"W14X311",311,603," "]
["HSS3.500X0.300",10.262536001726657,2.9," ",null,"HSS10X8X5/16",36.099292326548586,34.4,"A Best Choice",null,null,null,null,null,null,"W40X149",149,598,"A Best Choice"]
["HSS5X0.125",6.5143050792210229,2.77,{"$f":"IF(AND(B101<B102,B101<B100),\"A Best Choice\",\" \")","v":"A Best Choice"},null,"HSS10X4X1/2",41.914983202347258,34.1," ",null,null,null,null,null,null,"W36X150",150,581," "]
["HSS4X0.188",7.6611541675556438,2.5499999999999998," ",null,"HSS10X6X3/8",37.614126502748881,33.799999999999997," ",null,null,null,null,null,null,"W27X178",178,570," "]
["HSS3.500X0.250",8.6857401056280317,2.4900000000000002," ",null,"HSS14X4X1/4",29.249589636451262,33.200000000000003,"A Best Choice",null,null,null,null,null,null,"W24X192",192,559," "]
["HSS4.500X0.125",5.8461712249419433,2.23,"A Best Choice",null,"HSS7X7X5/8",50.604196957468638,33.1," ",null,null,null,null,null,null,"W33X152",152,559,"A Best Choice"]
["HSS3.500X0.216",7.5829878516758242,2.19," ",null,"HSS10X10X1/4",32.597460192006821,32.700000000000003,"A Best Choice",null,null,null,null,null,null,"W18x234",234,549," "]
["HSS3.500X0.203",7.154815607428791,2.0699999999999998," ",null,"HSS9X5X1/2",41.914983202347258,32.5," ",null,null,null,null,null,null,"W14X283",283,542," "]
["HSS3.500X0.188",6.6562808507199067,1.93,"A Best Choice",null,"HSS9X9X5/16",36.045963993215253,32.1,"A Best Choice",null,null,null,null,null,null,"W12X305",305,537," "]
["HSS3X0.250",7.3494723970698708,1.79," ",null,"HSS10X3-1/2X1/2",40.213594313458373,31.9," ",null,null,null,null,null,null,"W21X201",201,530," "]
["HSS4X0.125",5.1780373706628637,1.75,"A Best Choice",null,"HSS9X7X3/8",37.614126502748881,31.8," ",null,null,null,null,null,null,"W27X161",161,515," "]
["HSS2.875X0.250",7.0154054699303323,1.63," ",null,"HSS16X4X3/16",24.664892409685585,31.7,"A Best Choice",null,null,null,null,null,null,"W33X141",141,514,"A Best Choice"]
["HSS3X0.216",6.4284525514815769,1.58," ",null,"HSS12X4X5/16",31.839014548770809,31.3," ",null,null,null,null,null,null,"W24X176",176,511," "]
["HSS3X0.203",6.0697662280795646,1.5," ",null,"HSS12X6X1/4",29.194682414229042,31.1,"A Best Choice",null,null,null,null,null,null,"W36X135",135,509,"A Best Choice"]
["HSS3X0.188",5.6514075338841723,1.39,"A Best Choice",null,"HSS8X6X1/2",41.914983202347258,30.5," ",null,null,null,null,null,null,"W30X148",148,500," "]
["HSS2.875X0.203",5.7985038832422591,1.37," ",null,"HSS10X5X3/8",35.062043169415546,30.4," ",null,null,null,null,null,null,"W18x211",211,490," "]
["HSS3.500X0.125",4.5099035163837851,1.33,"A Best Choice",null,"HSS14X6X3/16",24.664892409685585,30.1,"A Best Choice",null,null,null,null,null,null,"W14X257",257,487," "]
["HSS2.875X0.188",5.4001892046752396,1.27," ",null,"HSS12X3-1/2X5/16",30.773945104326366,29.6," ",null,null,null,null,null,null,"W12X279",279,481," "]
["HSS2.500X0.250",6.0132046885117134,1.2," ",null,"HSS8X8X3/8",37.614126502748881,29.4," ",null,null,null,null,null,null,"W21X182",182,476," "]
["HSS3X0.152",4.6277195677119378,1.1499999999999999,"A Best Choice",null,"HSS10X6X5/16",31.839014548770809,28.8," ",null,null,null,null,null,null,"W24X162",162,468," "]
["HSS2.375X0.250",5.6791377613721741,1.07," ",null,"HSS10X8X1/4",29.194682414229042,28.1,"A Best Choice",null,null,null,null,null,null,"W33X130",130,467,"A Best Choice"]
["HSS3X0.134",4.1054847669240715,1.03," ",null,"HSS12X3X5/16",29.708875659881919,27.9," ",null,null,null,null,null,null,"W27X146",146,464," "]
["HSS3X0.125",3.8417696621047055,0.96499999999999997,"A Best Choice",null,"HSS7X7X1/2",41.914983202347258,27.9," ",null,null,null,null,null,null,"W18x192",192,442," "]
["HSS2.375X0.218",5.026782556195748,0.96," ",null,"HSS12X8X3/16",24.778866409685588,27.8,"A Best Choice",null,null,null,null,null,null,"W30X132",132,437,"A Best Choice"]
["HSS2.500X0.188",4.6465342170484387,0.94299999999999995," ",null,"HSS8X4X5/8",42.097252513024195,27.4," ",null,null,null,null,null,null,"W14X233",233,436," "]
["HSS2.875X0.125",3.6747361985349354,0.88400000000000001,"A Best Choice",null,"HSS9X7X5/16",31.839014548770809,27.1,"A Best Choice",null,null,null,null,null,null,"W21X166",166,432,"A Best Choice"]
["HSS2.375X0.188",4.3953158878395042,0.84499999999999997," ",null,"HSS10X4X3/8",32.509959836082217,27," ",null,null,null,null,null,null,"W12X252",252,428," "]
["HSS2.375X0.154",3.6563919154318465,0.71299999999999997," ",null,"HSS9X9X1/4",29.194682414229042,26.2,"A Best Choice",null,null,null,null,null,null,"W24X146",146,418," "]
["HSS2.500X0.125",3.1736358078256264,0.66," ",null,"HSS10X5X5/16",29.708875659881919,26," ",null,null,null,null,null,null,"W33X118",118,415,"A Best Choice"]
["HSS2.375X0.125",3.0066023442558567,0.59199999999999997,"A Best Choice",null,"HSS9X5X3/8",32.509959836082217,25.7," ",null,null,null,null,null,null,"W30X124",124,408," "]
["HSS1.900X0.188",3.4406862368455564,0.52," ",null,"HSS12X4X1/4",25.791904636451264,25.6," ",null,null,null,null,null,null,"W18X175",175,398," "]
["HSS1.900X0.145",2.7203738010827001,0.42099999999999999," ",null,"HSS14X4X3/16",22.118253520796696,25.3,"A Best Choice",null,null,null,null,null,null,"W27X129",129,395,"A Best Choice"]
["HSS1.900X0.120",2.2834142603841814,0.35599999999999998," ",null,"HSS10X3-1/2X3/8",31.233918169415549,25.3," ",null,null,null,null,null,null,"W14X211",211,390," "]
["HSS1.660X0.140",2.2748621470494093,0.30499999999999999," ",null,"HSS8X8X5/16",31.792491770993031,25.1," ",null,null,null,null,null,null,"W12X230",230,386," "]
[null,null,null,null,null,"HSS10X10X3/16",24.715547520796697,24.8,{"$f":"IF(AND(G133<G134,G133<G132),\"A Best Choice\",\" \")","v":"A Best Choice"},null,null,null,null,null,null,"W30X116",116,378,"A Best Choice"]
[null,null,null,null,null,"HSS9X3X1/2",35.109427646791701,24.6," ",null,null,null,null,null,null,"W21X147",147,373,{"$f":"IF(AND(Q134<Q135,Q134<Q133),\"A Best Choice\",\" \")","v":" "}]
[null,null,null,null,null,"HSS12X2X5/16",27.578736770993032,24.5,"A Best Choice",null,null,null,null,null,null,"W24X131",131,370,"A Best Choice"]
[null,null,null,null,null,"HSS8X6X3/8",32.509959836082217,24.1," ",null,null,null,null,null,null,"W18X158",158,356," "]
[null,null,null,null,null,"HSS12X6X3/16",22.2199775207967,23.7,"A Best Choice",null,null,null,null,null,null,"W14X193",193,355," "]
[null,null,null,null,null,"HSS10X3X3/8",29.957876502748881,23.7," ",null,null,null,null,null,null,"W12X210",210,348," "]
[null,null,null,null,null,"HSS10X6X1/4",25.791904636451264,23.6,"A Best Choice",null,null,null,null,null,null,"W30X108",108,346,"A Best Choice"]
[null,null,null,null,null,"HSS8X4X1/2",35.109427646791701,23.5," ",null,null,null,null,null,null,"W27X114",114,343," "]
[null,null,null,null,null,"HSS6X6X5/8",42.097252513024195,23.2," ",null,null,null,null,null,null,"W21X132",132,333," "]
[null,null,null,null,null,"HSS10X4X5/16",27.578736770993032,23.1," ",null,null,null,null,null,null,"W24X117",117,327,"A Best Choice"]
[null,null,null,null,null,"HSS12X3X1/4",24.090515747562375,22.9,"A Best Choice",null,null,null,null,null,null,"W18X143",143,322," "]
[null,null,null,null,null,"HSS9X7X1/4",25.791904636451264,22.2," ",null,null,null,null,null,null,"W14X176",176,320," "]
[null,null,null,null,null,"HSS7X7X3/8",32.509959836082217,22.1," ",null,null,null,null,null,null,"W30X99",99,312,"A Best Choice"]
[null,null,null,null,null,"HSS9X5X5/16",27.578736770993032,22,"A Best Choice",null,null,null,null,null,null,"W12X190",190,311," "]
[null,null,null,null,null,"HSS7X5X1/2",35.109427646791701,21.9," ",null,null,null,null,null,null,"W21X122",122,307," "]
[null,null,null,null,null,"HSS10X3-1/2X5/16",26.513667326548585,21.7," ",null,null,null,null,null,null,"S24X121",121,306," "]
[null,null,null,null,null,"HSS10X8X3/16",22.2199775207967,21.4,"A Best Choice",null,null,null,null,null,null,"W27X102",102,305,"A Best Choice"]
[null,null,null,null,null,"HSS10X5X1/4",24.090515747562375,21.3," ",null,null,null,null,null,null,"W18X130",130,290," "]
[null,null,null,null,null,"HSS8X6X5/16",27.578736770993032,20.6," ",null,null,null,null,null,null,"W24X104",104,289,"A Best Choice"]
[null,null,null,null,null,"HSS8X8X1/4",25.791904636451264,20.5," ",null,null,null,null,null,null,"W14X159",159,287," "]
[null,null,null,null,null,"HSS10X3X5/16",25.448597882104142,20.3,"A Best Choice",null,null,null,null,null,null,"W30X90",90,283,"A Best Choice"]
[null,null,null,null,null,"HSS10X2X3/8",27.405793169415549,20.3," ",null,null,null,null,null,null,"W24X103",103,280," "]
[null,null,null,null,null,"HSS12X2X1/4",22.389126858673485,20.100000000000001," ",null,null,null,null,null,null,"S24X106",106,279," "]
[null,null,null,null,null,"HSS9X9X3/16",22.163464187463362,20,"A Best Choice",null,null,null,null,null,null,"W21X111",111,279," "]
[null,null,null,null,null,"HSS8X3X1/2",31.706649869013926,20," ",null,null,null,null,null,null,"W27X94",94,278,"A Best Choice"]
[null,null,null,null,null,"HSS6X6X1/2",35.109427646791701,19.8," ",null,null,null,null,null,null,"W12X170",170,275," "]
[null,null,null,null,null,"HSS9X3X3/8",27.405793169415549,19.7," ",null,null,null,null,null,null,"W18X119",119,262,"A Best Choice"]
[null,null,null,null,null,"HSS12X4X3/16",19.661088631907809,19.600000000000001,"A Best Choice",null,null,null,null,null,null,"W14X145",145,260," "]
[null,null,null,null,null,"HSS10X4X1/4",22.389126858673485,19," ",null,null,null,null,null,null,"W24X94",94,254,"A Best Choice"]
[null,null,null,null,null,"HSS7X7X5/16",27.53901954877081,18.899999999999999," ",null,null,null,null,null,null,"W21X101",101,253," "]
[null,null,null,null,null,"HSS8X4X3/8",27.405793169415549,18.8,"A Best Choice",null,null,null,null,null,null,"W27X84",84,244,"A Best Choice"]
[null,null,null,null,null,"HSS7X4X1/2",31.706649869013926,18.8," ",null,null,null,null,null,null,"W12X152",152,243," "]
[null,null,null,null,null,"HSS9X5X1/4",22.389126858673485,18.100000000000001," ",null,null,null,null,null,null,"S24X100",100,239,"A Best Choice"]
[null,null,null,null,null,"HSS10X6X3/16",19.661088631907809,18,"A Best Choice",null,null,null,null,null,null,"W14X132",132,234," "]
[null,null,null,null,null,"HSS10X3-1/2X1/4",21.538432414229042,17.899999999999999," ",null,null,null,null,null,null,"W18X106",106,230," "]
[null,null,null,null,null,"HSS12X3X3/16",18.381644187463365,17.5,"A Best Choice",null,null,null,null,null,null,"W24X84",84,224,"A Best Choice"]
[null,null,null,null,null,"HSS10X2X5/16",23.318458993215252,17.5," ",null,null,null,null,null,null,"S24X90",90,222," "]
[null,null,null,null,null,"HSS7X5X3/8",27.405793169415549,17.5," ",null,null,null,null,null,null,"W21X93",93,221," "]
[null,null,null,null,null,"HSS6X5X1/2",31.706649869013926,17.2," ",null,null,null,null,null,null,"W12X136",136,214," "]
[null,null,null,null,null,"HSS9X7X3/16",19.661088631907809,16.899999999999999,"A Best Choice",null,null,null,null,null,null,"W14X120",120,212," "]
[null,null,null,null,null,"HSS8X6X1/4",22.389126858673485,16.899999999999999," ",null,null,null,null,null,null,"W18X97",97,211," "]
[null,null,null,null,null,"HSS9X3X5/16",23.318458993215252,16.899999999999999," ",null,null,null,null,null,null,"S24X80",80,204," "]
[null,null,null,null,null,"HSS10X3X1/4",20.687737969784596,16.7," ",null,null,null,null,null,null,"W24X76",76,200,"A Best Choice"]
[null,null,null,null,null,"HSS10X5X3/16",18.381644187463365,16.3,"A Best Choice",null,null,null,null,null,null,"S20X96",96,198," "]
[null,null,null,null,null,"HSS8X4X5/16",23.318458993215252,16.100000000000001," ",null,null,null,null,null,null,"W16X100",100,198," "]
[null,null,null,null,null,"HSS8X3X3/8",24.853709836082217,16.100000000000001," ",null,null,null,null,null,null,"W21X83",83,196,"A Best Choice"]
[null,null,null,null,null,"HSS6X6X3/8",27.405793169415549,15.8," ",null,null,null,null,null,null,"HP14X117",117,194," "]
[null,null,null,null,null,"HSS7X3X1/2",28.303872091236148,15.8," ",null,null,null,null,null,null,"W14X109",109,192,"A Best Choice"]
[null,null,null,null,null,"HSS8X8X3/16",19.611380854130029,15.7," ",null,null,null,null,null,null,"W12X120",120,186," "]
[null,null,null,null,null,"HSS12X2X3/16",17.102199743018918,15.5,"A Best Choice",null,null,null,null,null,null,"W18X86",86,186," "]
[null,null,null,null,null,"HSS7X7X1/4",22.389126858673485,15.5," ",null,null,null,null,null,null,"S20X86",86,183," "]
[null,null,null,null,null,"HSS7X4X3/8",24.853709836082217,15.1," ",null,null,null,null,null,null,"W24X68",68,177,"A Best Choice"]
[null,null,null,null,null,"HSS7X5X5/16",23.318458993215252,15," ",null,null,null,null,null,null,"W16X89",89,175," "]
[null,null,null,null,null,"HSS10X4X3/16",17.102199743018918,14.6,"A Best Choice",null,null,null,null,null,null,"W14X99",99,173," "]
[null,null,null,null,null,"HSS6X4X1/2",28.303872091236148,14.6," ",null,null,null,null,null,null,"W21X73",73,172,"A Best Choice"]
[null,null,null,null,null,"HSS10X2X1/4",18.98634908089571,14.4," ",null,null,null,null,null,null,"HP14X102",102,169," "]
[null,null,null,null,null,"HSS9X3X1/4",18.98634908089571,14," ",null,null,null,null,null,null,"W12X106",106,164," "]
[null,null,null,null,null,"HSS8X3X5/16",21.188320104326365,13.9," ",null,null,null,null,null,null,"W18X76",76,163," "]
[null,null,null,null,null,"HSS9X5X3/16",17.102199743018918,13.8,"A Best Choice",null,null,null,null,null,null,"W21X68",68,160,"A Best Choice"]
[null,null,null,null,null,"HSS6X5X3/8",24.853709836082217,13.8," ",null,null,null,null,null,null,"W14X90",90,157," "]
[null,null,null,null,null,"HSS10X3-1/2X3/16",16.4624775207967,13.7," ",null,null,null,null,null,null,"W24X62",62,153,"A Best Choice"]
[null,null,null,null,null,"HSS9X9X1/8",14.95459519442816,13.6,"A Best Choice",null,null,null,null,null,null,"S20X75",75,152," "]
[null,null,null,null,null,"HSS6X6X5/16",23.285547326548585,13.6," ",null,null,null,null,null,null,"W16X77",77,150," "]
[null,null,null,null,null,"HSS8X2X3/8",22.301626502748881,13.4," ",null,null,null,null,null,null,"W10X112",112,147," "]
[null,null,null,null,null,"HSS8X4X1/4",18.98634908089571,13.3,{"$f":"IF(AND(G197<G198,G197<G196),\"A Best Choice\",\" \")","v":"A Best Choice"},null,null,null,null,null,null,"W12X96",96,147," "]
[null,null,null,null,null,"HSS7X4X5/16",21.188320104326365,13.1," ",null,null,null,null,null,null,"HP14X89",89,146,{"$f":"IF(AND(Q198<Q199,Q198<Q197),\"A Best Choice\",\" \")","v":" "}]
[null,null,null,null,null,"HSS5-1/2X5-1/2X3/8",24.853709836082217,13.1," ",null,null,null,null,null,null,"W18X71",71,146," "]
[null,null,null,null,null,"HSS5X5X1/2",28.303872091236148,13.1," ",null,null,null,null,null,null,"W21X62",62,144,"A Best Choice"]
[null,null,null,null,null,"HSS8X6X3/16",17.102199743018918,13," ",null,null,null,null,null,null,"S20X66",66,139," "]
[null,null,null,null,null,"HSS10X3X3/16",15.822755298574476,12.8,"A Best Choice",null,null,null,null,null,null,"W14X82",82,139," "]
[null,null,null,null,null,"HSS7X3X3/8",22.301626502748881,12.8," ",null,null,null,null,null,null,"W24X55",55,134,"A Best Choice"]
[null,null,null,null,null,"HSS7X5X1/4",18.98634908089571,12.4,"A Best Choice",null,null,null,null,null,null,"W18X65",65,133," "]
[null,null,null,null,null,"HSS6X3X1/2",24.901094313458373,12.1," ",null,null,null,null,null,null,"W12X87",87,132," "]
[null,null,null,null,null,"HSS7X7X3/16",17.059297520796697,11.9,"A Best Choice",null,null,null,null,null,null,"W10X100",100,130," "]
[null,null,null,null,null,"HSS6X5X5/16",21.188320104326365,11.9," ",null,null,null,null,null,null,"W16X67",67,130," "]
[null,null,null,null,null,"HSS6X4X3/8",22.301626502748881,11.9," ",null,null,null,null,null,null,"W21X57",57,129,"A Best Choice"]
[null,null,null,null,null,"HSS8X2X5/16",19.058181215437475,11.6," ",null,null,null,null,null,null,"W14X74",74,126," "]
[null,null,null,null,null,"HSS8X3X1/4",17.284960192006821,11.5,"A Best Choice",null,null,null,null,null,null,"W21X55",55,126,"A Best Choice"]
[null,null,null,null,null,"HSS5-1/2X5-1/2X5/16",21.158811215437474,11.3," ",null,null,null,null,null,null,"S18X70",70,124," "]
[null,null,null,null,null,"HSS6X6X1/4",18.98634908089571,11.2," ",null,null,null,null,null,null,"W18X60",60,123,"A Best Choice"]
[null,null,null,null,null,"HSS10X2X3/16",14.543310854130031,11.1,"A Best Choice",null,null,null,null,null,null,"HP12X84",84,120," "]
[null,null,null,null,null,"HSS7X3X5/16",19.058181215437475,11.1," ",null,null,null,null,null,null,"W12X79",79,119," "]
[null,null,null,null,null,"HSS5X4X1/2",24.901094313458373,10.9," ",null,null,null,null,null,null,"HP14X73",73,118," "]
[null,null,null,null,null,"HSS9X3X3/16",14.543310854130031,10.8,"A Best Choice",null,null,null,null,null,null,"W14X68",68,115,"A Best Choice"]
[null,null,null,null,null,"HSS7X4X1/4",17.284960192006821,10.8," ",null,null,null,null,null,null,"W10X88",88,113," "]
[null,null,null,null,null,"HSS8X8X1/8",13.253206305539271,10.7,"A Best Choice",null,null,null,null,null,null,"W18X55",55,112," "]
[null,null,null,null,null,"HSS5X5X3/8",22.301626502748881,10.6," ",null,null,null,null,null,null,"W21X50",50,110,"A Best Choice"]
[null,null,null,null,null,"HSS6X4X5/16",19.058181215437475,10.3," ",null,null,null,null,null,null,"W12X72",72,108," "]
[null,null,null,null,null,"HSS8X4X3/16",14.543310854130031,10.199999999999999,"A Best Choice",null,null,null,null,null,null,"W21X48",48,107,"A Best Choice"]
[null,null,null,null,null,"HSS4-1/2X4-1/2X1/2",24.901094313458373,10.199999999999999," ",null,null,null,null,null,null,"HP12X74",74,105," "]
[null,null,null,null,null,"HSS10X4X1/8",11.551817416650383,10,"A Best Choice",null,null,null,null,null,null,"W16X57",57,105," "]
[null,null,null,null,null,"HSS6X3X3/8",19.749543169415549,9.9," ",null,null,null,null,null,null,"S18X54.7",54.7,104,"A Best Choice"]
[null,null,null,null,null,"HSS6X5X1/4",17.284960192006821,9.8699999999999992," ",null,null,null,null,null,null,"W14X61",61,102," "]
[null,null,null,null,null,"HSS8X2X1/4",15.583571303117932,9.68," ",null,null,null,null,null,null,"W18X50",50,101,"A Best Choice"]
[null,null,null,null,null,"HSS7X5X3/16",14.543310854130031,9.52," ",null,null,null,null,null,null,"W10X77",77,97.6," "]
[null,null,null,null,null,"HSS10X3-1/2X1/8",11.12647019442816,9.3699999999999992,"A Best Choice",null,null,null,null,null,null,"W12X65",65,96.8," "]
[null,null,null,null,null,"HSS5-1/2X5-1/2X1/4",17.284960192006821,9.32," ",null,null,null,null,null,null,"W21X44",44,95.4,"A Best Choice"]
[null,null,null,null,null,"HSS7X3X1/4",15.583571303117932,9.2200000000000006,"A Best Choice",null,null,null,null,null,null,"W16X50",50,92," "]
[null,null,null,null,null,"HSS5X5X5/16",19.032075104326363,9.16," ",null,null,null,null,null,null,"W18X46",46,90.7,"A Best Choice"]
[null,null,null,null,null,"HSS5X4X3/8",19.749543169415549,8.9600000000000009," ",null,null,null,null,null,null,"HP12X63",63,88.3," "]
[null,null,null,null,null,"HSS8X3X3/16",13.263866409685585,8.8699999999999992,"A Best Choice",null,null,null,null,null,null,"W14X53",53,87.1,"A Best Choice"]
[null,null,null,null,null,"HSS5X3X1/2",21.498316535680594,8.83," ",null,null,null,null,null,null,"W12X58",58,86.4," "]
[null,null,null,null,null,"HSS10X3X1/8",10.701122972205939,8.8000000000000007,"A Best Choice",null,null,null,null,null,null,"W10X68",68,85.3," "]
[null,null,null,null,null,"HSS6X6X3/16",14.507214187463363,8.6300000000000008," ",null,null,null,null,null,null,"W16X45",45,82.3,"A Best Choice"]
[null,null,null,null,null,"HSS6X3X5/16",16.928042326548585,8.61," ",null,null,null,null,null,null,"W14X48",48,78.400000000000006," "]
[null,null,null,null,null,"HSS6X4X1/4",15.583571303117932,8.5299999999999994,"A Best Choice",null,null,null,null,null,null,"W18X40",40,78.400000000000006,"A Best Choice"]
[null,null,null,null,null,"HSS4-1/2X4-1/2X3/8",19.749543169415549,8.36," ",null,null,null,null,null,null,"W12X53",53,77.900000000000006," "]
[null,null,null,null,null,"HSS7X4X3/16",13.263866409685585,8.33," ",null,null,null,null,null,null,"S15X50",50,77,"A Best Choice"]
[null,null,null,null,null,"HSS7X7X1/8",11.551817416650383,8.1300000000000008,"A Best Choice",null,null,null,null,null,null,"W10X60",60,74.599999999999994," "]
[null,null,null,null,null,"HSS6X2X3/8",17.197459836082214,7.93," ",null,null,null,null,null,null,"HP12X53",53,74," "]
[null,null,null,null,null,"HSS5X4X5/16",16.928042326548585,7.79,"A Best Choice",null,null,null,null,null,null,"W16X40",40,73,"A Best Choice"]
[null,null,null,null,null,"HSS4X4X1/2",21.498316535680594,7.7," ",null,null,null,null,null,null,"W12X50",50,71.900000000000006," "]
[null,null,null,null,null,"HSS10X2X1/8",9.850428527761494,7.65,"A Best Choice",null,null,null,null,null,null,"W8X67",67,70.099999999999994," "]
[null,null,null,null,null,"HSS7X2X1/2",13.882182414229042,7.64," ",null,null,null,null,null,null,"W14X43",43,69.599999999999994," "]
[null,null,null,null,null,"HSS6X5X3/16",13.263866409685585,7.62,"A Best Choice",null,null,null,null,null,null,"S15X42.9",42.9,69.2,"A Best Choice"]
[null,null,null,null,null,"HSS5X5X1/4",15.583571303117932,7.61," ",null,null,null,null,null,null,"W10X54",54,66.599999999999994," "]
[null,null,null,null,null,"HSS8X2X3/16",11.984421965241141,7.51,"A Best Choice",null,null,null,null,null,null,"HP10X57",57,66.5," "]
[null,null,null,null,null,"HSS5X3X3/8",17.197459836082214,7.34," ",null,null,null,null,null,null,"W18X35",35,66.5,"A Best Choice"]
[null,null,null,null,null,"HSS4-1/2X4-1/2X5/16",16.905338993215253,7.27," ",null,null,null,null,null,null,"W12X45",45,64.2," "]
[null,null,null,null,null,"HSS5-1/2X5-1/2X3/16",13.231172520796697,7.19,"A Best Choice",null,null,null,null,null,null,"W16X36",36,64,"A Best Choice"]
[null,null,null,null,null,"HSS6X3X1/4",13.882182414229042,7.19," ",null,null,null,null,null,null,"W14X38",38,61.5," "]
[null,null,null,null,null,"HSS7X3X3/16",11.984421965241141,7.14," ",null,null,null,null,null,null,"S12X50",50,60.9," "]
[null,null,null,null,null,"HSS8X4X1/8",9.850428527761494,7.02,"A Best Choice",null,null,null,null,null,null,"W10X49",49,60.4,"A Best Choice"]
[null,null,null,null,null,"HSS6X2X5/16",14.7979034376597,6.95," ",null,null,null,null,null,null,"W8X58",58,59.8," "]
[null,null,null,null,null,"HSS6X4X3/16",11.984421965241141,6.6," ",null,null,null,null,null,null,"W12X40",40,57,"A Best Choice"]
[null,null,null,null,null,"HSS7X5X1/8",9.850428527761494,6.53,"A Best Choice",null,null,null,null,null,null,"W10X45",45,54.9," "]
[null,null,null,null,null,"HSS5X4X1/4",13.882182414229042,6.49," ",null,null,null,null,null,null,"W14X34",34,54.6," "]
[null,null,null,null,null,"HSS5X3X5/16",14.7979034376597,6.42," ",null,null,null,null,null,null,"W16X31",31,54,"A Best Choice"]
[null,null,null,null,null,"HSS4X4X3/8",17.197459836082214,6.39,{"$f":"IF(AND(G261<G262,G261<G260),\"A Best Choice\",\" \")","v":" "},null,null,null,null,null,null,"S12X40.8",40.799999999999997,52.7," "]
[null,null,null,null,null,"HSS8X3X1/8",8.9997340833170494,6.11,"A Best Choice",null,null,null,null,null,null,"W12X35",35,51.2,{"$f":"IF(AND(Q262<Q263,Q262<Q261),\"A Best Choice\",\" \")","v":"A Best Choice"}]
[null,null,null,null,null,"HSS4-1/2X4-1/2X1/4",13.882182414229042,6.06," ",null,null,null,null,null,null,"W8X48",48,49," "]
[null,null,null,null,null,"HSS7X2X3/16",10.704977520796696,5.95," ",null,null,null,null,null,null,"HP10X42",42,48.3," "]
[null,null,null,null,null,"HSS6X6X1/8",9.850428527761494,5.92,"A Best Choice",null,null,null,null,null,null,"W14X30",30,47.3,"A Best Choice"]
[null,null,null,null,null,"HSS5X5X3/16",11.955130854130029,5.89," ",null,null,null,null,null,null,"W10X39",39,46.8," "]
[null,null,null,null,null,"HSS6X2X1/4",12.180793525340155,5.84," ",null,null,null,null,null,null,"S12X35",35,44.6," "]
[null,null,null,null,null,"HSS7X4X1/8",8.9997340833170494,5.73,"A Best Choice",null,null,null,null,null,null,"W16X26",26,44.2,"A Best Choice"]
[null,null,null,null,null,"HSS5X2X3/8",14.64537650274888,5.71," ",null,null,null,null,null,null,"W12X30",30,43.1," "]
[null,null,null,null,null,"HSS6X3X3/16",10.704977520796696,5.59,"A Best Choice",null,null,null,null,null,null,"S12X31.8",31.8,41.8," "]
[null,null,null,null,null,"HSS4X4X5/16",14.778602882104146,5.59," ",null,null,null,null,null,null,"W14X26",26,40.200000000000003,"A Best Choice"]
[null,null,null,null,null,"HSS5X3X1/4",12.180793525340155,5.38," ",null,null,null,null,null,null,"W8X40",40,39.799999999999997," "]
[null,null,null,null,null,"HSS6X5X1/8",8.9997340833170494,5.24," ",null,null,null,null,null,null,"W10X33",33,38.799999999999997," "]
[null,null,null,null,null,"HSS8X2X1/8",8.1490396388726047,5.19,"A Best Choice",null,null,null,null,null,null,"W12X26",26,37.200000000000003,"A Best Choice"]
[null,null,null,null,null,"HSS4X3X3/8",14.64537650274888,5.12," ",null,null,null,null,null,null,"W10X30",30,36.6," "]
[null,null,null,null,null,"HSS5X4X3/16",10.704977520796696,5.05,"A Best Choice",null,null,null,null,null,null,"S10X35",35,35.4," "]
[null,null,null,null,null,"HSS5X2X5/16",12.667764548770812,5.05," ",null,null,null,null,null,null,"W8X35",35,34.700000000000003," "]
[null,null,null,null,null,"HSS5-1/2X5-1/2X1/8",8.9997340833170494,4.95," ",null,null,null,null,null,null,"HP8X36",36,33.6," "]
[null,null,null,null,null,"HSS7X3X1/8",8.1490396388726047,4.93,"A Best Choice",null,null,null,null,null,null,"W14X22",22,33.200000000000003,"A Best Choice"]
[null,null,null,null,null,"HSS5X2-1/2X1/4",11.33009908089571,4.83," ",null,null,null,null,null,null,"W10X26",26,31.3," "]
[null,null,null,null,null,"HSS4-1/2X4-1/2X3/16",10.679089187463363,4.71,"A Best Choice",null,null,null,null,null,null,"W8X31",31,30.4," "]
[null,null,null,null,null,"HSS4X4X1/4",12.180793525340155,4.6900000000000004," ",null,null,null,null,null,null,"W12X22",22,29.3,"A Best Choice"]
[null,null,null,null,null,"HSS3-1/2X3-1/2X3/8",14.64537650274888,4.6900000000000004," ",null,null,null,null,null,null,"S10X25.4",25.4,28.3," "]
[null,null,null,null,null,"HSS6X2X3/16",9.4255330763522522,4.58," ",null,null,null,null,null,null,"W8X28",28,27.2," "]
[null,null,null,null,null,"HSS6X4X1/8",8.1490396388726047,4.5599999999999996,"A Best Choice",null,null,null,null,null,null,"W10X22",22,26," "]
[null,null,null,null,null,"HSS4X3X5/16",12.667764548770812,4.51," ",null,null,null,null,null,null,"W12X19",19,24.7,"A Best Choice"]
[null,null,null,null,null,"HSS4X2-1/2X3/8",13.369334836082214,4.4800000000000004," ",null,null,null,null,null,null,"W8X24",24,23.1," "]
[null,null,null,null,null,"HSS5X2X1/4",10.479404636451266,4.2699999999999996," ",null,null,null,null,null,null,"W10X19",19,21.6,"A Best Choice"]
[null,null,null,null,null,"HSS5X3X3/16",9.4255330763522522,4.21,"A Best Choice",null,null,null,null,null,null,"W8X21",21,20.399999999999999," "]
[null,null,null,null,null,"HSS3-1/2X3-1/2X5/16",12.651866770993035,4.1399999999999997," ",null,null,null,null,null,null,"W12X16",16,20.100000000000001,"A Best Choice"]
[null,null,null,null,null,"HSS7X2X1/4",7.2983451944281601,4.13,"A Best Choice",null,null,null,null,null,null,"S8X23",23,19.2," "]
[null,null,null,null,null,"HSS5X5X1/8",8.1490396388726047,4.07," ",null,null,null,null,null,null,"W6X25",25,18.899999999999999," "]
[null,null,null,null,null,"HSS4X2-1/2X5/16",11.602695104326369,3.97," ",null,null,null,null,null,null,"W10X17",17,18.7," "]
[null,null,null,null,null,"HSS6X3X1/8",7.2983451944281601,3.87,"A Best Choice",null,null,null,null,null,null,"W12X14",14,17.399999999999999,"A Best Choice"]
[null,null,null,null,null,"HSS4X2X3/8",12.093293169415546,3.84," ",null,null,null,null,null,null,"W8X18",18,17," "]
[null,null,null,null,null,"HSS4X3X1/4",10.479404636451266,3.81," ",null,null,null,null,null,null,"M12.5X12.4",12.4,16.5,"A Best Choice"]
[null,null,null,null,null,"HSS5X2-1/2X3/16",8.7858108541300304,3.79,"A Best Choice",null,null,null,null,null,null,"S8X18.4",18.399999999999999,16.5," "]
[null,null,null,null,null,"HSS4X4X3/16",9.4030475207966973,3.67," ",null,null,null,null,null,null,"W10X15",15,16," "]
[null,null,null,null,null,"HSS5X4X1/8",7.2983451944281601,3.5,"A Best Choice",null,null,null,null,null,null,"M12.5X11.6",11.6,15,"A Best Choice"]
[null,null,null,null,null,"HSS3-1/2X3-1/2X1/4",10.479404636451266,3.5," ",null,null,null,null,null,null,"W6X20",20,15," "]
[null,null,null,null,null,"HSS4X2X5/16",10.537625659881924,3.43," ",null,null,null,null,null,null,"M12X11.8",11.8,14.3,"A Best Choice"]
[null,null,null,null,null,"HSS4X2-1/2X1/4",9.628710192006821,3.38," ",null,null,null,null,null,null,"W8X15",15,13.6," "]
[null,null,null,null,null,"HSS5X2X3/16",8.1460886319078085,3.37," ",null,null,null,null,null,null,"M12X10.8",10.8,13.2,"A Best Choice"]
[null,null,null,null,null,"HSS4-1/2X4-1/2X1/8",7.2983451944281601,3.27,"A Best Choice",null,null,null,null,null,null,"W10X12",12,12.6," "]
[null,null,null,null,null,"HSS3X3X3/8",12.093293169415546,3.25," ",null,null,null,null,null,null,"M12X10",10,12.2,"A Best Choice"]
[null,null,null,null,null,"HSS6X2X1/8",6.4476507499837172,3.19,"A Best Choice",null,null,null,null,null,null,"W6X16",16,11.7," "]
[null,null,null,null,null,"HSS4X3X3/16",8.1460886319078085,3," ",null,null,null,null,null,null,"W5X19",19,11.6," "]
[null,null,null,null,null,"HSS4X2X1/4",8.7780157475623781,2.94," ",null,null,null,null,null,null,"W8X13",13,11.4,"A Best Choice"]
[null,null,null,null,null,"HSS5X3X1/8",6.4476507499837172,2.93,"A Best Choice",null,null,null,null,null,null,"M5X18.9",18.899999999999999,11.1," "]
[null,null,null,null,null,"HSS3X3X5/16",10.525130659881922,2.9," ",null,null,null,null,null,null,"W6X15",15,10.8,"A Best Choice"]
[null,null,null,null,null,"HSS3-1/2X3-1/2X3/16",8.1270058541300294,2.76," ",null,null,null,null,null,null,"S6X17.2",17.3,10.5," "]
[null,null,null,null,null,"HSS4X2-1/2X3/16",7.5063664096855867,2.67," ",null,null,null,null,null,null,"W5X16",16,9.6300000000000008," "]
[null,null,null,null,null,"HSS5X2-1/2X1/8",6.0223035277614949,2.65,"A Best Choice",null,null,null,null,null,null,"M10X9",9,9.2200000000000006,"A Best Choice"]
[null,null,null,null,null,"HSS4X4X1/8",6.4476507499837172,2.56," ",null,null,null,null,null,null,"W8X10",10,8.8699999999999992," "]
[null,null,null,null,null,"HSS3X2-1/2X5/16",9.4725562154374785,2.5099999999999998," ",null,null,null,null,null,null,"S6X12.5",12.5,8.4499999999999993," "]
[null,null,null,null,null,"HSS3X3X1/4",8.7780157475623781,2.48," ",null,null,null,null,null,null,"W6X12",12,8.3000000000000007," "]
[null,null,null,null,null,"HSS5X2X1/8",5.5969563055392726,2.37,"A Best Choice",null,null,null,null,null,null,"M10X8",8,8.1999999999999993," "]
[null,null,null,null,null,"HSS3-1/2X2X1/4",7.9273213031179326,2.36," ",null,null,null,null,null,null,"M10X7.5",7.5,7.77,"A Best Choice"]
[null,null,null,null,null,"HSS4X2X3/16",6.8666441874633639,2.34,"A Best Choice",null,null,null,null,null,null,"W4X13",13,6.28," "]
[null,null,null,null,null,"HSS3X2-1/2X1/4",7.9273213031179326,2.16," ",null,null,null,null,null,null,"W6X9",9,6.23," "]
[null,null,null,null,null,"HSS4X3X1/8",5.5969563055392726,2.11,"A Best Choice",null,null,null,null,null,null,"W6X8.5",8.5,5.73,"A Best Choice"]
[null,null,null,null,null,"HSS3X2X5/16",8.4074867709930334,2.11," ",null,null,null,null,null,null,"S5X10",10,5.66," "]
[null,null,null,null,null,"HSS3-1/2X1-1/2X1/4",7.0766268586734888,1.98," ",null,null,null,null,null,null,"M8X6.5",6.5,5.43," "]
[null,null,null,null,null,"HSS3X3X3/16",6.8509641874633633,1.97," ",null,null,null,null,null,null,"M8X6.2",6.2,5.15,"A Best Choice"]
[null,null,null,null,null,"HSS3-1/2X3-1/2X1/8",5.5969563055392726,1.93,{"$f":"IF(AND(G325<G326,G325<G324),\"A Best Choice\",\" \")","v":"A Best Choice"},null,null,null,null,null,null,"S4X9.5",9.5,4.04," "]
[null,null,null,null,null,"HSS3-1/2X2X3/16",6.2269219652411412,1.89," ",null,null,null,null,null,null,"S4X7.7",7.7,3.5,{"$f":"IF(AND(Q326<Q327,Q326<Q325),\"A Best Choice\",\" \")","v":" "}]
[null,null,null,null,null,"HSS4X2-1/2X1/8",5.1716090833170503,1.88,"A Best Choice",null,null,null,null,null,null,"M6X4.4",4.4000000000000004,2.8,"A Best Choice"]
[null,null,null,null,null,"HSS2-1/2X2-1/2X5/16",8.3983945487708098,1.88," ",null,null,null,null,null,null,"M4X6",6,2.74," "]
[null,null,null,null,null,"HSS3X2X1/4",7.0766268586734888,1.83," ",null,null,null,null,null,null,"S3X7.5",7.5,2.35," "]
[null,null,null,null,null,"HSS3X2-1/2X3/16",6.2269219652411412,1.73," ",null,null,null,null,null,null,"M6X3.7",3.7,2.33,"A Best Choice"]
[null,null,null,null,null,"HSS4X2X1/8",4.7462618610948279,1.66,"A Best Choice",null,null,null,null,null,null,"M4X4.08",4.09,2," "]
[null,null,null,null,null,"HSS2-1/2X2-1/2X1/4",7.0766268586734888,1.63," ",null,null,null,null,null,null,"S3X5.7",5.7,1.94," "]
[null,null,null,null,null,"HSS3-1/2X1-1/2X3/16",5.5871997430189184,1.6,"A Best Choice",null,null,null,null,null,null,"M4X3.2",3.2,1.6,"A Best Choice"]
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["HSS5X0.500",24.052818754046854,17.2," ",null,"HSS12X10X1/4",36.0002379697846,216,"A Best Choice",null,null,null,null,null,null,"W30X211",211,10300," "]
["HSS7X0.125",9.1868404963373393,14.9,"A Best Choice",null,"HSS14X4X5/16",36.088626659881918,216," ",null,null,null,null,null,null,"W40X149",149,9800,"A Best Choice"]
["HSS5.563X0.258",14.631490000211729,14.2," ",null,"HSS12X6X3/8",42.718293169415546,215," ",null,null,null,null,null,null,"W36X160",160,9760," "]
["HSS5X0.375",18.540714456244448,13.9," ",null,"HSS10X8X1/2",55.52609431345838,214," ",null,null,null,null,null,null,"W27X235",235,9700," "]
["HSS5.500X0.258",14.457732437532494,13.7," ",null,"HSS12X4X1/2",48.720538757902816,210," ",null,null,null,null,null,null,"W24X279",279,9600," "]
["HSS6X0.188",11.680647434898594,13.5," ",null,"HSS10X10X3/8",47.82245983608221,202,"A Best Choice",null,null,null,null,null,null,"W14X550",550,9430," "]
["HSS6.625X0.125",8.6857401056280317,12.6,"A Best Choice",null,"HSS10X6X5/8",59.111141401913081,201," ",null,null,null,null,null,null,"W33X169",169,9290,"A Best Choice"]
["HSS5X0.312",15.635999852230725,12," ",null,"HSS16X4X3/16",24.664892409685585,193,"A Best Choice",null,null,null,null,null,null,"W30X191",191,9200," "]
["HSS5.563X0.188",10.802388155984158,10.7,"A Best Choice",null,"HSS12X12X3/16",29.819714187463362,189," ",null,null,null,null,null,null,"W36X150",150,9040,"A Best Choice"]
["HSS5X0.258",13.078704162300477,10.199999999999999," ",null,"HSS12X6X5/16",36.099292326548586,184," ",null,null,null,null,null,null,"W27X217",217,8910," "]
["HSS5X0.250",12.694543231302506,9.94,"A Best Choice",null,"HSS12X8X1/4",32.597460192006821,184,"A Best Choice",null,null,null,null,null,null,"W24X250",250,8490," "]
["HSS4.500X0.375",16.536312893407214,9.8699999999999992," ",null,"HSS9X9X1/2",55.52609431345838,183," ",null,null,null,null,null,null,"W30X173",173,8230,"A Best Choice"]
["HSS6X0.125",7.850572787779182,9.2799999999999994,"A Best Choice",null,"HSS14X4X1/4",29.249589636451262,178,"A Best Choice",null,null,null,null,null,null,"W14X500",500,8210," "]
["HSS4.500X0.337",14.997531141081645,9.07," ",null,"HSS9X7X5/8",59.111141401913081,174," ",null,null,null,null,null,null,"W33X152",152,8160,"A Best Choice"]
["HSS5.563X0.134",7.7769284018251126,7.84,"A Best Choice",null,"HSS10X10X5/16",40.299436215437474,172,"A Best Choice",null,null,null,null,null,null,"W27X194",194,7860," "]
["HSS5X0.188",9.6709008012271269,7.69," ",null,"HSS10X6X1/2",48.720538757902816,171," ",null,null,null,null,null,null,"W36X135",135,7800,"A Best Choice"]
["HSS4.500X0.237",10.80058152204219,6.79," ",null,"HSS14X6X3/16",24.664892409685585,170,"A Best Choice",null,null,null,null,null,null,"W24X229",229,7650," "]
["HSS4X0.313",12.336754879800639,5.87," ",null,"HSS10X8X3/8",42.718293169415546,169," ",null,null,null,null,null,null,"W33X141",141,7450,"A Best Choice"]
["HSS4.500X0.188",8.6660274843913871,5.54," ",null,"HSS12X4X3/8",37.614126502748881,168," ",null,null,null,null,null,null,"W14X455",455,7190," "]
["HSS5X0.125",6.5143050792210229,5.31,"A Best Choice",null,"HSS12X3-1/2X3/8",36.338084836082217,156," ",null,null,null,null,null,null,"W27X178",178,7020,"A Best Choice"]
["HSS4X0.250",10,4.91," ",null,"HSS12X6X1/4",29.194682414229042,151,"A Best Choice",null,null,null,null,null,null,"W18x311",311,6970," "]
["HSS4X0.237",9.533799734329051,4.68," ",null,"HSS9X7X1/2",48.720538757902816,149," ",null,null,null,null,null,null,"W24X207",207,6820," "]
["HSS4X0.226",9.1178783924340685,4.5," ",null,"HSS10X4X5/8",50.604196957468638,149," ",null,null,null,null,null,null,"W33X130",130,6710,"A Best Choice"]
["HSS4X0.220",8.8899218114957161,4.41," ",null,"HSS8X8X5/8",59.111141401913081,146," ",null,null,null,null,null,null,"W30X148",148,6680," "]
["HSS4.500X0.125",5.8461712249419433,3.84,"A Best Choice",null,"HSS9X9X3/8",42.718293169415546,145," ",null,null,null,null,null,null,"W14X426",426,6600," "]
["HSS4X0.188",7.6611541675556438,3.83,{"$f":"IF(AND(B103<B104,B103<B102),\"A Best Choice\",\" \")","v":" "},null,"HSS10X8X5/16",36.099292326548586,145," ",null,null,null,null,null,null,"W27X161",161,6310,"A Best Choice"]
["HSS3.500X0.313",10.663747708685825,3.81," ",null,"HSS12X4X5/16",31.839014548770809,144,"A Best Choice",null,null,null,null,null,null,"W24X192",192,6260," "]
["HSS3.500X0.300",10.262536001726657,3.69," ",null,"HSS10X10X1/4",32.597460192006821,141," ",null,null,null,null,null,null,"W18x283",283,6170," "]
["HSS3.500X0.250",8.6857401056280317,3.21," ",null,"HSS12X8X3/16",24.778866409685588,140,"A Best Choice",null,null,null,null,null,null,"W14X398",398,6000," "]
["HSS3.500X0.216",7.5829878516758242,2.84," ",null,"HSS10X6X3/8",37.614126502748881,137," ",null,null,null,null,null,null,"W33X118",118,5900,"A Best Choice"]
["HSS3.500X0.203",7.154815607428791,2.7," ",null,"HSS14X4X3/16",22.118253520796696,137,"A Best Choice",null,null,null,null,null,null,"W30X132",132,5770," "]
["HSS4X0.125",5.1780373706628637,2.67,"A Best Choice",null,"HSS12X3-1/2X5/16",30.773945104326366,134," ",null,null,null,null,null,null,"W24X176",176,5680," "]
["HSS3.500X0.188",6.6562808507199067,2.52," ",null,"HSS9X5X5/8",50.604196957468638,133," ",null,null,null,null,null,null,"W27X146",146,5660,"A Best Choice"]
["HSS3X0.250",7.3494723970698708,1.95," ",null,"HSS10X4X1/2",41.914983202347258,129,"A Best Choice",null,null,null,null,null,null,"W18x258",258,5510," "]
["HSS3.500X0.125",4.5099035163837851,1.77,"A Best Choice",null,"HSS8X8X1/2",48.720538757902816,125," ",null,null,null,null,null,null,"W14X370",370,5440," "]
["HSS3X0.216",6.4284525514815769,1.74," ",null,"HSS9X9X5/16",36.045963993215253,124," ",null,null,null,null,null,null,"W30X124",124,5360,"A Best Choice"]
["HSS2.875X0.250",7.0154054699303323,1.7," ",null,"HSS12X3X5/16",29.708875659881919,124,"A Best Choice",null,null,null,null,null,null,"W21X201",201,5310," "]
["HSS3X0.203",6.0697662280795646,1.66," ",null,"HSS10X5X3/8",35.062043169415546,120," ",null,null,null,null,null,null,"W24X162",162,5170," "]
["HSS3X0.188",5.6514075338841723,1.55,"A Best Choice",null,"HSS9X7X3/8",37.614126502748881,119," ",null,null,null,null,null,null,"W30X116",116,4930,"A Best Choice"]
["HSS2.875X0.203",5.7985038832422591,1.45," ",null,"HSS10X8X1/4",29.194682414229042,119," ",null,null,null,null,null,null,"W14X342",342,4900," "]
["HSS2.875X0.188",5.4001892046752396,1.35," ",null,"HSS12X4X1/4",25.791904636451264,119,"A Best Choice",null,null,null,null,null,null,"W18x234",234,4900," "]
["HSS3X0.152",4.6277195677119378,1.3," ",null,"HSS10X3-1/2X1/2",40.213594313458373,118," ",null,null,null,null,null,null,"W27X129",129,4760,"A Best Choice"]
["HSS3X0.134",4.1054847669240715,1.1599999999999999," ",null,"HSS10X6X5/16",31.839014548770809,118," ",null,null,null,null,null,null,"W21X182",182,4730," "]
["HSS3X0.125",3.8417696621047055,1.0900000000000001,"A Best Choice",null,"HSS12X6X3/16",22.2199775207967,116,"A Best Choice",null,null,null,null,null,null,"W24X146",146,4580," "]
["HSS2.500X0.250",6.0132046885117134,1.08," ",null,"HSS9X5X1/2",41.914983202347258,115," ",null,null,null,null,null,null,"W30X108",108,4470,"A Best Choice"]
["HSS2.875X0.125",3.6747361985349354,0.95799999999999996,"A Best Choice",null,"HSS8X6X5/8",50.604196957468638,114," ",null,null,null,null,null,null,"W14X311",311,4330," "]
["HSS2.375X0.250",5.6791377613721741,0.91," ",null,"HSS10X10X3/16",24.715547520796697,108,"A Best Choice",null,null,null,null,null,null,"W18x211",211,4330," "]
["HSS2.500X0.188",4.6465342170484387,0.86499999999999999,"A Best Choice",null,"HSS10X4X3/8",32.509959836082217,104," ",null,null,null,null,null,null,"W21X166",166,4280," "]
["HSS2.375X0.218",5.026782556195748,0.82399999999999995," ",null,"HSS10X5X5/16",29.708875659881919,104," ",null,null,null,null,null,null,"W27X114",114,4080,"A Best Choice"]
["HSS2.375X0.188",4.3953158878395042,0.73299999999999998," ",null,"HSS12X2X5/16",27.578736770993032,104," ",null,null,null,null,null,null,"W12X336",336,4060," "]
["HSS2.375X0.154",3.6563919154318465,0.627," ",null,"HSS12X3X1/4",24.090515747562375,103,"A Best Choice",null,null,null,null,null,null,"W24X131",131,4020," "]
["HSS2.500X0.125",3.1736358078256264,0.61899999999999999," ",null,"HSS9X7X5/16",31.839014548770809,102," ",null,null,null,null,null,null,"W30X99",99,3990,"A Best Choice"]
["HSS2.375X0.125",3.0066023442558567,0.52700000000000002,"A Best Choice",null,"HSS9X9X1/4",29.194682414229042,102,"A Best Choice",null,null,null,null,null,null,"W18x192",192,3870," "]
["HSS1.900X0.188",3.4406862368455564,0.35499999999999998," ",null,"HSS8X8X3/8",37.614126502748881,100," ",null,null,null,null,null,null,"W14X283",283,3840," "]
["HSS1.900X0.145",2.7203738010827001,0.29299999999999998," ",null,"HSS8X6X1/2",41.914983202347258,98.2," ",null,null,null,null,null,null,"W21X147",147,3630," "]
["HSS1.900X0.120",2.2834142603841814,0.251," ",null,"HSS10X6X1/4",25.791904636451264,96.9,"A Best Choice",null,null,null,null,null,null,"W27X102",102,3620," "]
["HSS1.660X0.140",2.2748621470494093,0.184," ",null,"HSS10X3-1/2X3/8",31.233918169415549,96.1," ",null,null,null,null,null,null,"W30X90",90,3610,"A Best Choice"]
[null,null,null,null,null,"HSS7X7X5/8",50.604196957468638,93.4,{"$f":"IF(AND(G135<G136,G135<G134),\"A Best Choice\",\" \")","v":" "},null,null,null,null,null,null,"W12X305",305,3550," "]
[null,null,null,null,null,"HSS9X5X3/8",32.509959836082217,92.5," ",null,null,null,null,null,null,"W24X117",117,3540,{"$f":"IF(AND(Q136<Q137,Q136<Q135),\"A Best Choice\",\" \")","v":"A Best Choice"}]
[null,null,null,null,null,"HSS12X4X3/16",19.661088631907809,91.8,"A Best Choice",null,null,null,null,null,null,"W18X175",175,3450," "]
[null,null,null,null,null,"HSS10X8X3/16",22.2199775207967,91.4," ",null,null,null,null,null,null,"W14X257",257,3400," "]
[null,null,null,null,null,"HSS10X4X5/16",27.578736770993032,90.1," ",null,null,null,null,null,null,"W27X94",94,3270,"A Best Choice"]
[null,null,null,null,null,"HSS10X3X3/8",29.957876502748881,88," ",null,null,null,null,null,null,"W21X132",132,3220," "]
[null,null,null,null,null,"HSS12X2X1/4",22.389126858673485,86.9,"A Best Choice",null,null,null,null,null,null,"S24X121",121,3160,"A Best Choice"]
[null,null,null,null,null,"HSS10X5X1/4",24.090515747562375,85.8," ",null,null,null,null,null,null,"W12X279",279,3110," "]
[null,null,null,null,null,"HSS8X8X5/16",31.792491770993031,85.6," ",null,null,null,null,null,null,"W24X104",104,3100,"A Best Choice"]
[null,null,null,null,null,"HSS9X7X1/4",25.791904636451264,84.1,"A Best Choice",null,null,null,null,null,null,"W18X158",158,3060," "]
[null,null,null,null,null,"HSS10X3-1/2X5/16",26.513667326548585,83.2," ",null,null,null,null,null,null,"W14X233",233,3010," "]
[null,null,null,null,null,"HSS8X4X5/8",42.097252513024195,82," ",null,null,null,null,null,null,"W24X103",103,3000,"A Best Choice"]
[null,null,null,null,null,"HSS9X3X1/2",35.109427646791701,80.8,"A Best Choice",null,null,null,null,null,null,"W21X122",122,2960," "]
[null,null,null,null,null,"HSS7X7X1/2",41.914983202347258,80.5," ",null,null,null,null,null,null,"S24X106",106,2940," "]
[null,null,null,null,null,"HSS9X5X5/16",27.578736770993032,79.8," ",null,null,null,null,null,null,"W27X84",84,2850,"A Best Choice"]
[null,null,null,null,null,"HSS12X3X3/16",18.381644187463365,79.599999999999994,"A Best Choice",null,null,null,null,null,null,"W18X143",143,2750," "]
[null,null,null,null,null,"HSS8X6X3/8",32.509959836082217,79.099999999999994," ",null,null,null,null,null,null,"W12X252",252,2720," "]
[null,null,null,null,null,"HSS9X9X3/16",22.163464187463362,78.2,"A Best Choice",null,null,null,null,null,null,"W24X94",94,2700,"A Best Choice"]
[null,null,null,null,null,"HSS10X3X5/16",25.448597882104142,76.3," ",null,null,null,null,null,null,"W21X111",111,2670," "]
[null,null,null,null,null,"HSS10X4X1/4",22.389126858673485,74.7," ",null,null,null,null,null,null,"W14X211",211,2660," "]
[null,null,null,null,null,"HSS10X6X3/16",19.661088631907809,74.599999999999994,"A Best Choice",null,null,null,null,null,null,"W18X130",130,2460,"A Best Choice"]
[null,null,null,null,null,"HSS8X4X1/2",35.109427646791701,71.8," ",null,null,null,null,null,null,"W12X230",230,2420," "]
[null,null,null,null,null,"HSS10X2X3/8",27.405793169415549,71.7," ",null,null,null,null,null,null,"W21X101",101,2420,"A Best Choice"]
[null,null,null,null,null,"HSS8X8X1/4",25.791904636451264,70.7," ",null,null,null,null,null,null,"W14X193",193,2400," "]
[null,null,null,null,null,"HSS10X3-1/2X1/4",21.538432414229042,69.099999999999994,"A Best Choice",null,null,null,null,null,null,"S24X100",100,2380," "]
[null,null,null,null,null,"HSS8X6X5/16",27.578736770993032,68.3," ",null,null,null,null,null,null,"W24X84",84,2370,"A Best Choice"]
[null,null,null,null,null,"HSS12X2X3/16",17.102199743018918,67.400000000000006,"A Best Choice",null,null,null,null,null,null,"S24X90",90,2250," "]
[null,null,null,null,null,"HSS9X3X3/8",27.405793169415549,66.3," ",null,null,null,null,null,null,"W18X119",119,2190," "]
[null,null,null,null,null,"HSS10X5X3/16",18.381644187463365,66.2,"A Best Choice",null,null,null,null,null,null,"W12X210",210,2140," "]
[null,null,null,null,null,"HSS9X5X1/4",22.389126858673485,66.099999999999994," ",null,null,null,null,null,null,"W14X176",176,2140," "]
[null,null,null,null,null,"HSS7X7X3/8",32.509959836082217,65," ",null,null,null,null,null,null,"S24X80",80,2100," "]
[null,null,null,null,null,"HSS9X7X3/16",19.661088631907809,64.7,"A Best Choice",null,null,null,null,null,null,"W24X76",76,2100,"A Best Choice"]
[null,null,null,null,null,"HSS10X3X1/4",20.687737969784596,63.6," ",null,null,null,null,null,null,"W21X93",93,2070," "]
[null,null,null,null,null,"HSS10X2X5/16",23.318458993215252,62.6," ",null,null,null,null,null,null,"W18X106",106,1910," "]
[null,null,null,null,null,"HSS7X5X1/2",35.109427646791701,60.6," ",null,null,null,null,null,null,"W14X159",159,1900," "]
[null,null,null,null,null,"HSS8X4X3/8",27.405793169415549,58.7,"A Best Choice",null,null,null,null,null,null,"W12X190",190,1890," "]
[null,null,null,null,null,"HSS8X3X1/2",31.706649869013926,58.6," ",null,null,null,null,null,null,"W21X83",83,1830," "]
[null,null,null,null,null,"HSS10X4X3/16",17.102199743018918,57.8,"A Best Choice",null,null,null,null,null,null,"W24X68",68,1830,"A Best Choice"]
[null,null,null,null,null,"HSS9X3X5/16",23.318458993215252,57.7," ",null,null,null,null,null,null,"W18X97",97,1750," "]
[null,null,null,null,null,"HSS8X6X1/4",22.389126858673485,56.6,"A Best Choice",null,null,null,null,null,null,"W14X145",145,1710," "]
[null,null,null,null,null,"HSS7X7X5/16",27.53901954877081,56.1," ",null,null,null,null,null,null,"S20X96",96,1670,"A Best Choice"]
[null,null,null,null,null,"HSS6X6X5/8",42.097252513024195,55.2," ",null,null,null,null,null,null,"W12X170",170,1650," "]
[null,null,null,null,null,"HSS8X8X3/16",19.611380854130029,54.4," ",null,null,null,null,null,null,"W21X73",73,1600,"A Best Choice"]
[null,null,null,null,null,"HSS10X3-1/2X3/16",16.4624775207967,53.6," ",null,null,null,null,null,null,"S20X86",86,1570," "]
[null,null,null,null,null,"HSS9X9X1/8",14.95459519442816,53.5,"A Best Choice",null,null,null,null,null,null,"W24X62",62,1550,"A Best Choice"]
[null,null,null,null,null,"HSS10X2X1/4",18.98634908089571,52.5," ",null,null,null,null,null,null,"W14X132",132,1530," "]
[null,null,null,null,null,"HSS9X5X3/16",17.102199743018918,51.1,"A Best Choice",null,null,null,null,null,null,"W18X86",86,1530,"A Best Choice"]
[null,null,null,null,null,"HSS8X4X5/16",23.318458993215252,51," ",null,null,null,null,null,null,"W16X100",100,1490," "]
[null,null,null,null,null,"HSS7X4X1/2",31.706649869013926,50.7," ",null,null,null,null,null,null,"W21X68",68,1480,"A Best Choice"]
[null,null,null,null,null,"HSS7X5X3/8",27.405793169415549,49.5," ",null,null,null,null,null,null,"W12X152",152,1430," "]
[null,null,null,null,null,"HSS10X3X3/16",15.822755298574476,49.4,"A Best Choice",null,null,null,null,null,null,"W14X120",120,1380," "]
[null,null,null,null,null,"HSS8X3X3/8",24.853709836082217,48.5," ",null,null,null,null,null,null,"W24X55",55,1350,"A Best Choice"]
[null,null,null,null,null,"HSS6X6X1/2",35.109427646791701,48.3," ",null,null,null,null,null,null,"W18X76",76,1330," "]
[null,null,null,null,null,"HSS9X3X1/4",18.98634908089571,48.2,"A Best Choice",null,null,null,null,null,null,"W21X62",62,1330,"A Best Choice"]
[null,null,null,null,null,"HSS7X7X1/4",22.389126858673485,46.5," ",null,null,null,null,null,null,"W16X89",89,1300," "]
[null,null,null,null,null,"HSS8X6X3/16",17.102199743018918,43.7,"A Best Choice",null,null,null,null,null,null,"S20X75",75,1280,"A Best Choice"]
[null,null,null,null,null,"HSS7X5X5/16",23.318458993215252,43," ",null,null,null,null,null,null,"W12X136",136,1240," "]
[null,null,null,null,null,"HSS8X4X1/4",18.98634908089571,42.5,"A Best Choice",null,null,null,null,null,null,"W14X109",109,1240,"A Best Choice"]
[null,null,null,null,null,"HSS8X3X5/16",21.188320104326365,42.4," ",null,null,null,null,null,null,"HP14X117",117,1220," "]
[null,null,null,null,null,"HSS7X4X3/8",24.853709836082217,41.8," ",null,null,null,null,null,null,"S20X66",66,1190,"A Best Choice"]
[null,null,null,null,null,"HSS6X5X1/2",31.706649869013926,41.1," ",null,null,null,null,null,null,"W18X71",71,1170," "]
[null,null,null,null,null,"HSS10X2X3/16",14.543310854130031,41,"A Best Choice",null,null,null,null,null,null,"W21X57",57,1170," "]
[null,null,null,null,null,"HSS7X3X1/2",28.303872091236148,40.700000000000003," ",null,null,null,null,null,null,"W21X55",55,1140,"A Best Choice"]
[null,null,null,null,null,"HSS10X4X1/8",11.551817416650383,39.799999999999997,"A Best Choice",null,null,null,null,null,null,"W14X99",99,1110," "]
[null,null,null,null,null,"HSS6X6X3/8",27.405793169415549,39.5,{"$f":"IF(AND(G199<G200,G199<G198),\"A Best Choice\",\" \")","v":" "},null,null,null,null,null,null,"W16X77",77,1110,"A Best Choice"]
[null,null,null,null,null,"HSS8X2X3/8",22.301626502748881,38.200000000000003," ",null,null,null,null,null,null,"W12X120",120,1070,{"$f":"IF(AND(Q200<Q201,Q200<Q199),\"A Best Choice\",\" \")","v":" "}]
[null,null,null,null,null,"HSS9X3X3/16",14.543310854130031,37.6," ",null,null,null,null,null,null,"W18X65",65,1070,"A Best Choice"]
[null,null,null,null,null,"HSS8X8X1/8",13.253206305539271,37.4," ",null,null,null,null,null,null,"HP14X102",102,1050," "]
[null,null,null,null,null,"HSS10X3-1/2X1/8",11.12647019442816,37,"A Best Choice",null,null,null,null,null,null,"W14X90",90,999," "]
[null,null,null,null,null,"HSS7X4X5/16",21.188320104326365,36.5," ",null,null,null,null,null,null,"W18X60",60,984," "]
[null,null,null,null,null,"HSS7X7X3/16",17.059297520796697,36,"A Best Choice",null,null,null,null,null,null,"W21X50",50,984," "]
[null,null,null,null,null,"HSS7X5X1/4",18.98634908089571,35.9," ",null,null,null,null,null,null,"W21X48",48,959,"A Best Choice"]
[null,null,null,null,null,"HSS8X3X1/4",17.284960192006821,35.5,"A Best Choice",null,null,null,null,null,null,"W16X67",67,954," "]
[null,null,null,null,null,"HSS6X6X5/16",23.285547326548585,34.299999999999997," ",null,null,null,null,null,null,"W12X106",106,933," "]
[null,null,null,null,null,"HSS10X3X1/8",10.701122972205939,34.200000000000003,"A Best Choice",null,null,null,null,null,null,"S18X70",70,923,"A Best Choice"]
[null,null,null,null,null,"HSS7X3X3/8",22.301626502748881,34.1," ",null,null,null,null,null,null,"HP14X89",89,904," "]
[null,null,null,null,null,"HSS6X4X1/2",28.303872091236148,34," ",null,null,null,null,null,null,"W18X55",55,890,"A Best Choice"]
[null,null,null,null,null,"HSS6X5X3/8",24.853709836082217,33.9," ",null,null,null,null,null,null,"W14X82",82,881," "]
[null,null,null,null,null,"HSS8X2X5/16",19.058181215437475,33.700000000000003," ",null,null,null,null,null,null,"W21X44",44,843,"A Best Choice"]
[null,null,null,null,null,"HSS8X4X3/16",14.543310854130031,33.1,"A Best Choice",null,null,null,null,null,null,"W12X96",96,833," "]
[null,null,null,null,null,"HSS7X4X1/4",17.284960192006821,30.5," ",null,null,null,null,null,null,"S18X54.7",54.7,801," "]
[null,null,null,null,null,"HSS7X3X5/16",19.058181215437475,29.9," ",null,null,null,null,null,null,"W18X50",50,800,"A Best Choice"]
[null,null,null,null,null,"HSS5-1/2X5-1/2X3/8",24.853709836082217,29.7," ",null,null,null,null,null,null,"W14X74",74,795," "]
[null,null,null,null,null,"HSS6X5X5/16",21.188320104326365,29.6," ",null,null,null,null,null,null,"W16X57",57,758,"A Best Choice"]
[null,null,null,null,null,"HSS6X6X1/4",18.98634908089571,28.6," ",null,null,null,null,null,null,"W12X87",87,740," "]
[null,null,null,null,null,"HSS8X2X1/4",15.583571303117932,28.5," ",null,null,null,null,null,null,"HP14X73",73,729," "]
[null,null,null,null,null,"HSS10X2X1/8",9.850428527761494,28.5,"A Best Choice",null,null,null,null,null,null,"W14X68",68,722,"A Best Choice"]
[null,null,null,null,null,"HSS6X4X3/8",22.301626502748881,28.3," ",null,null,null,null,null,null,"W10X112",112,716," "]
[null,null,null,null,null,"HSS7X5X3/16",14.543310854130031,27.9," ",null,null,null,null,null,null,"W18X46",46,712,"A Best Choice"]
[null,null,null,null,null,"HSS8X3X3/16",13.263866409685585,27.8,"A Best Choice",null,null,null,null,null,null,"W12X79",79,662," "]
[null,null,null,null,null,"HSS6X3X1/2",24.901094313458373,26.8," ",null,null,null,null,null,null,"W16X50",50,659,"A Best Choice"]
[null,null,null,null,null,"HSS5X5X1/2",28.303872091236148,26," ",null,null,null,null,null,null,"HP12X84",84,650," "]
[null,null,null,null,null,"HSS5-1/2X5-1/2X5/16",21.158811215437474,25.9," ",null,null,null,null,null,null,"W14X61",61,640,"A Best Choice"]
[null,null,null,null,null,"HSS7X3X1/4",15.583571303117932,25.2,"A Best Choice",null,null,null,null,null,null,"W10X100",100,623," "]
[null,null,null,null,null,"HSS6X4X5/16",19.058181215437475,24.8," ",null,null,null,null,null,null,"W18X40",40,612,"A Best Choice"]
[null,null,null,null,null,"HSS7X7X1/8",11.551817416650383,24.8,"A Best Choice",null,null,null,null,null,null,"W12X72",72,597," "]
[null,null,null,null,null,"HSS6X5X1/4",17.284960192006821,24.7," ",null,null,null,null,null,null,"W16X45",45,586,"A Best Choice"]
[null,null,null,null,null,"HSS7X4X3/16",13.263866409685585,23.8," ",null,null,null,null,null,null,"HP12X74",74,569," "]
[null,null,null,null,null,"HSS8X4X1/8",9.850428527761494,22.9,"A Best Choice",null,null,null,null,null,null,"W14X53",53,541,"A Best Choice"]
[null,null,null,null,null,"HSS6X3X3/8",19.749543169415549,22.7," ",null,null,null,null,null,null,"W10X88",88,534," "]
[null,null,null,null,null,"HSS8X2X3/16",11.984421965241141,22.4,"A Best Choice",null,null,null,null,null,null,"W12X65",65,533," "]
[null,null,null,null,null,"HSS6X6X3/16",14.507214187463363,22.3," ",null,null,null,null,null,null,"W16X40",40,518," "]
[null,null,null,null,null,"HSS5X5X3/8",22.301626502748881,21.7," ",null,null,null,null,null,null,"W18X35",35,510,"A Best Choice"]
[null,null,null,null,null,"HSS5-1/2X5-1/2X1/4",17.284960192006821,21.7,"A Best Choice",null,null,null,null,null,null,"S15X50",50,485," "]
[null,null,null,null,null,"HSS5X4X1/2",24.901094313458373,21.2," ",null,null,null,null,null,null,"W14X48",48,484,"A Best Choice"]
[null,null,null,null,null,"HSS6X4X1/4",15.583571303117932,20.9,"A Best Choice",null,null,null,null,null,null,"W12X58",58,475," "]
[null,null,null,null,null,"HSS6X3X5/16",16.928042326548585,20.100000000000001," ",null,null,null,null,null,null,"HP12X63",63,472," "]
[null,null,null,null,null,"HSS7X2X1/2",13.882182414229042,19.8," ",null,null,null,null,null,null,"W10X77",77,455," "]
[null,null,null,null,null,"HSS7X3X3/16",11.984421965241141,19.8,"A Best Choice",null,null,null,null,null,null,"W16X36",36,448,"A Best Choice"]
[null,null,null,null,null,"HSS6X5X3/16",13.263866409685585,19.3," ",null,null,null,null,null,null,"S15X42.9",42.9,446," "]
[null,null,null,null,null,"HSS7X5X1/8",9.850428527761494,19.3," ",null,null,null,null,null,null,"W14X43",43,428," "]
[null,null,null,null,null,"HSS8X3X1/8",8.9997340833170494,19.3,"A Best Choice",null,null,null,null,null,null,"W12X53",53,425," "]
[null,null,null,null,null,"HSS5X5X5/16",19.032075104326363,19," ",null,null,null,null,null,null,"W10X68",68,394," "]
[null,null,null,null,null,"HSS4-1/2X4-1/2X1/2",24.901094313458373,18.100000000000001," ",null,null,null,null,null,null,"HP12X53",53,393," "]
[null,null,null,null,null,"HSS5X4X3/8",19.749543169415549,17.899999999999999," ",null,null,null,null,null,null,"W12X50",50,391," "]
[null,null,null,null,null,"HSS6X2X3/8",17.197459836082214,17.100000000000001," ",null,null,null,null,null,null,"W14X38",38,385," "]
[null,null,null,null,null,"HSS5-1/2X5-1/2X3/16",13.231172520796697,17,"A Best Choice",null,null,null,null,null,null,"W16X31",31,375,"A Best Choice"]
[null,null,null,null,null,"HSS6X3X1/4",13.882182414229042,17," ",null,null,null,null,null,null,"W12X45",45,348," "]
[null,null,null,null,null,"HSS7X4X1/8",8.9997340833170494,16.600000000000001,"A Best Choice",null,null,null,null,null,null,"W10X60",60,341," "]
[null,null,null,null,null,"HSS5X3X1/2",21.498316535680594,16.399999999999999," ",null,null,null,null,null,null,"W14X34",34,340,"A Best Choice"]
[null,null,null,null,null,"HSS6X4X3/16",11.984421965241141,16.399999999999999,"A Best Choice",null,null,null,null,null,null,"W12X40",40,307," "]
[null,null,null,null,null,"HSS5X5X1/4",15.583571303117932,16," ",null,null,null,null,null,null,"W10X54",54,303," "]
[null,null,null,null,null,"HSS5X4X5/16",16.928042326548585,15.8," ",null,null,null,null,null,null,"S12X50",50,303," "]
[null,null,null,null,null,"HSS7X2X3/16",10.704977520796696,15.7," ",null,null,null,null,null,null,"W16X26",26,301,"A Best Choice"]
[null,null,null,null,null,"HSS8X2X1/8",8.1490396388726047,15.7,"A Best Choice",null,null,null,null,null,null,"HP10X57",57,294," "]
[null,null,null,null,null,"HSS6X6X1/8",9.850428527761494,15.5," ",null,null,null,null,null,null,"W14X30",30,291,"A Best Choice"]
[null,null,null,null,null,"HSS4-1/2X4-1/2X3/8",19.749543169415549,15.3," ",null,null,null,null,null,null,"W12X35",35,285," "]
[null,null,null,null,null,"HSS6X2X5/16",14.7979034376597,15.3,"A Best Choice",null,null,null,null,null,null,"W8X67",67,272," "]
[null,null,null,null,null,"HSS5X3X3/8",17.197459836082214,14.1,{"$f":"IF(AND(G263<G264,G263<G262),\"A Best Choice\",\" \")","v":" "},null,null,null,null,null,null,"W10X49",49,272," "]
[null,null,null,null,null,"HSS7X3X1/8",8.1490396388726047,13.8,"A Best Choice",null,null,null,null,null,null,"S12X40.8",40.799999999999997,270,{"$f":"IF(AND(Q264<Q265,Q264<Q263),\"A Best Choice\",\" \")","v":"A Best Choice"}]
[null,null,null,null,null,"HSS4-1/2X4-1/2X5/16",16.905338993215253,13.5," ",null,null,null,null,null,null,"W10X45",45,248," "]
[null,null,null,null,null,"HSS5X4X1/4",13.882182414229042,13.4," ",null,null,null,null,null,null,"W14X26",26,245,"A Best Choice"]
[null,null,null,null,null,"HSS6X3X3/16",10.704977520796696,13.4," ",null,null,null,null,null,null,"W12X30",30,238," "]
[null,null,null,null,null,"HSS6X5X1/8",8.9997340833170494,13.4,"A Best Choice",null,null,null,null,null,null,"W8X58",58,228," "]
[null,null,null,null,null,"HSS6X2X1/4",12.180793525340155,13.1," ",null,null,null,null,null,null,"S12X35",35,228," "]
[null,null,null,null,null,"HSS5X3X5/16",14.7979034376597,12.6," ",null,null,null,null,null,null,"S12X31.8",31.8,217,"A Best Choice"]
[null,null,null,null,null,"HSS5X5X3/16",11.955130854130029,12.6,"A Best Choice",null,null,null,null,null,null,"HP10X42",42,210," "]
[null,null,null,null,null,"HSS4X4X1/2",21.498316535680594,11.9," ",null,null,null,null,null,null,"W10X39",39,209," "]
[null,null,null,null,null,"HSS5-1/2X5-1/2X1/8",8.9997340833170494,11.8,"A Best Choice",null,null,null,null,null,null,"W12X26",26,204," "]
[null,null,null,null,null,"HSS4-1/2X4-1/2X1/4",13.882182414229042,11.4," ",null,null,null,null,null,null,"W14X22",22,199,"A Best Choice"]
[null,null,null,null,null,"HSS6X4X1/8",8.1490396388726047,11.4," ",null,null,null,null,null,null,"W8X48",48,184," "]
[null,null,null,null,null,"HSS7X2X1/4",7.2983451944281601,11.1,"A Best Choice",null,null,null,null,null,null,"W10X33",33,171," "]
[null,null,null,null,null,"HSS5X3X1/4",12.180793525340155,10.7," ",null,null,null,null,null,null,"W10X30",30,170," "]
[null,null,null,null,null,"HSS5X4X3/16",10.704977520796696,10.6," ",null,null,null,null,null,null,"W12X22",22,156,"A Best Choice"]
[null,null,null,null,null,"HSS6X2X3/16",9.4255330763522522,10.5,"A Best Choice",null,null,null,null,null,null,"S10X35",35,147," "]
[null,null,null,null,null,"HSS5X2X3/8",14.64537650274888,10.4," ",null,null,null,null,null,null,"W8X40",40,146," "]
[null,null,null,null,null,"HSS4X4X3/8",17.197459836082214,10.3," ",null,null,null,null,null,null,"W10X26",26,144," "]
[null,null,null,null,null,"HSS6X3X1/8",7.2983451944281601,9.43,"A Best Choice",null,null,null,null,null,null,"W12X19",19,130,"A Best Choice"]
[null,null,null,null,null,"HSS5X2-1/2X1/4",11.33009908089571,9.4," ",null,null,null,null,null,null,"W8X35",35,127," "]
[null,null,null,null,null,"HSS5X2X5/16",12.667764548770812,9.35," ",null,null,null,null,null,null,"S10X25.4",25.4,123,"A Best Choice"]
[null,null,null,null,null,"HSS4X4X5/16",14.778602882104146,9.14," ",null,null,null,null,null,null,"HP8X36",36,119," "]
[null,null,null,null,null,"HSS4-1/2X4-1/2X3/16",10.679089187463363,9.02," ",null,null,null,null,null,null,"W10X22",22,118,"A Best Choice"]
[null,null,null,null,null,"HSS5X5X1/8",8.1490396388726047,8.8000000000000007,"A Best Choice",null,null,null,null,null,null,"W8X31",31,110," "]
[null,null,null,null,null,"HSS5X3X3/16",9.4255330763522522,8.5299999999999994," ",null,null,null,null,null,null,"W12X16",16,103,"A Best Choice"]
[null,null,null,null,null,"HSS5X2X1/4",10.479404636451266,8.08," ",null,null,null,null,null,null,"W8X28",28,98," "]
[null,null,null,null,null,"HSS4X3X3/8",14.64537650274888,7.93," ",null,null,null,null,null,null,"W10X19",19,96.3," "]
[null,null,null,null,null,"HSS4X4X1/4",12.180793525340155,7.8," ",null,null,null,null,null,null,"M12.5X12.4",12.4,89.3,"A Best Choice"]
[null,null,null,null,null,"HSS5X2-1/2X3/16",8.7858108541300304,7.51," ",null,null,null,null,null,null,"W12X14",14,88.6," "]
[null,null,null,null,null,"HSS5X4X1/8",7.2983451944281601,7.42," ",null,null,null,null,null,null,"W8X24",24,82.7," "]
[null,null,null,null,null,"HSS6X2X1/8",6.4476507499837172,7.42,"A Best Choice",null,null,null,null,null,null,"W10X17",17,81.900000000000006," "]
[null,null,null,null,null,"HSS4X3X5/16",12.667764548770812,7.14," ",null,null,null,null,null,null,"M12.5X11.6",11.6,80.3,"A Best Choice"]
[null,null,null,null,null,"HSS4X2-1/2X3/8",13.369334836082214,6.77," ",null,null,null,null,null,null,"W8X21",21,75.3," "]
[null,null,null,null,null,"HSS5X2X3/16",8.1460886319078085,6.5,"A Best Choice",null,null,null,null,null,null,"M12X11.8",11.8,72.2,"A Best Choice"]
[null,null,null,null,null,"HSS3-1/2X3-1/2X3/8",14.64537650274888,6.49," ",null,null,null,null,null,null,"W10X15",15,68.900000000000006," "]
[null,null,null,null,null,"HSS4-1/2X4-1/2X1/8",7.2983451944281601,6.35,"A Best Choice",null,null,null,null,null,null,"M12X10.8",10.8,66.7,"A Best Choice"]
[null,null,null,null,null,"HSS4X4X3/16",9.4030475207966973,6.21," ",null,null,null,null,null,null,"S8X23",23,64.7," "]
[null,null,null,null,null,"HSS4X3X1/4",10.479404636451266,6.15," ",null,null,null,null,null,null,"W8X18",18,61.9," "]
[null,null,null,null,null,"HSS4X2-1/2X5/16",11.602695104326369,6.13," ",null,null,null,null,null,null,"M12X10",10,61.7,"A Best Choice"]
[null,null,null,null,null,"HSS5X3X1/8",6.4476507499837172,6.03,"A Best Choice",null,null,null,null,null,null,"S8X18.4",18.399999999999999,57.5," "]
[null,null,null,null,null,"HSS3-1/2X3-1/2X5/16",12.651866770993035,5.84," ",null,null,null,null,null,null,"W10X12",12,53.8,"A Best Choice"]
[null,null,null,null,null,"HSS4X2X3/8",12.093293169415546,5.6," ",null,null,null,null,null,null,"W6X25",25,53.4," "]
[null,null,null,null,null,"HSS5X2-1/2X1/8",6.0223035277614949,5.34,"A Best Choice",null,null,null,null,null,null,"W8X15",15,48,"A Best Choice"]
[null,null,null,null,null,"HSS4X2-1/2X1/4",9.628710192006821,5.32," ",null,null,null,null,null,null,"W6X20",20,41.4," "]
[null,null,null,null,null,"HSS4X2X5/16",10.537625659881924,5.13," ",null,null,null,null,null,null,"W8X13",13,39.6," "]
[null,null,null,null,null,"HSS3-1/2X3-1/2X1/4",10.479404636451266,5.04," ",null,null,null,null,null,null,"M10X9",9,39," "]
[null,null,null,null,null,"HSS4X3X3/16",8.1460886319078085,4.93," ",null,null,null,null,null,null,"M10X8",8,34.6," "]
[null,null,null,null,null,"HSS5X2X1/8",5.5969563055392726,4.6500000000000004,"A Best Choice",null,null,null,null,null,null,"M10X7.5",7.5,33,"A Best Choice"]
[null,null,null,null,null,"HSS4X2X1/4",8.7780157475623781,4.49," ",null,null,null,null,null,null,"W6X16",16,32.1," "]
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