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{"sheet":"Readme","index":0,"n_rows":179,"n_cols":4,"rows_kept":179,"cut":false,"hidden":false,"merged":[[26,1,27,9],[30,1,31,9],[55,1,56,9],[1,0,11,9],[168,1,169,9],[57,1,59,9],[63,1,64,9],[28,1,29,9],[61,1,62,9],[12,0,16,9],[17,0,19,9],[20,0,22,9],[170,1,171,9],[65,1,67,9],[140,1,141,9],[142,1,143,9],[148,1,149,9],[150,1,151,9],[68,1,70,9],[72,1,72,9],[71,1,71,9],[73,1,76,9]]}
["disclaimer"]
["The information presented in this spreadsheet has been prepared following recognized principles of design. While it is believed to be accurate & best efforts have been made to address as much design requirements, this information should not be used or relied upon for any specific application without competent professional examination and verification of its accuracy, suitability and applicability by a licensed engineer or architect. The publication of this information is not a representation or warranty on the part of the American Institute of Steel Construction, its officers, agents, employees or committee members, or of any other person or entity named herein, that this information is suitable for any general or particular use, or of freedom from infringement of any patent or patents. All representations or warranties, express or implied, other than as stated above, are specifically disclaimed. Anyone making use of the information presented in this publication assumes all liability arising from such use."]
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["Caution must be exercised when relying upon standards and guidelines developed by other entities and incorporated by reference herein since such material may be modified or amended from time to time subsequent to the printing of this edition. The American Institute of Steel Construction bears no responsibility for such material other than to refer to it and incorporate it by reference at the time of the initial publication of this edition."]
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["Best efforts have been taken to test as much plausible combinations of dimensions, angles, and units to test the accuracy of the diagram, however, it might be still some cases in which the diagram shows discontinuities or leaps."]
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["The use of this tool and everything included in it, is subject to individual personal/professional use, corporate use or use that is not from a single persons not permitted."]
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["Scope."]
["1 -","This interaction diagram can be used for columns composite design or concrete design."]
["2 -","This spreadsheet uses the strain compatibility method to calculate the strain linear distribution using the concrete compressive strain at 0.003  per ACI-318-14/19  Sect.  and AISC Sect. I1.2b."]
[]
["3 -","This spreadsheet does not calculate first and second order moments due to column slenderness, Pu and Mu shall include second order effects as required by AISC & ACI."]
["4 -"]
["5 -","For the purposes of calculating the magnitudes of Pn, Mn, The rotated section is divided in 3 parts, 2 triangles and a trapezoid with dimensions derived using hi(l). See fig. 1."]
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[null,null,null,"Fig. 1 - Section subdivisions  triangles and trapezoid."]
[]
["6 -","The interaction diagram is valid for any angle larger than 0° and smaller than 90°. The equations become undetermined for 0° and 90° as either Tan or  Cot functions become infinite. "]
[]
["7 -","This interaction diagram is only applicable for 2 sides or 4 sides reinforcement steel with double symmetrical structural shapes (W & HSS). The reinforcement and structural section is located concentrically to the center of the gross concrete section."]
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[]
["8 -","The global axis X & Y never rotate, Mn is always around global X."]
["9 -","The resisting moments Mny & Mnx, are not respect the global axes X & Y, they are respect the local column section axes. Mnx  is around local x and Mny is around local y."]
[]
["10 -","The spreadsheet uses the Y-axis centroids to calculate the flexure capacity (Mn). All the Centroids are referred to the center of the gross concrete section."]
[]
["11 -","The section diagram in fig. 2. is for illustrative purposes and describe graphically each one of the section dimensions. The dimensions thss and tw are not used simultaneously unless the user manually overwrite the cells."]
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[]
["12 -","The steel reinforcement equivalent thicknesses t1b & t1h are programed to be equal, but user may overwrite either one to make them uneven. Bear in mid that overwriting these values will not update r and As. "]
[]
[]
["13 -","Only rectangular HSS and I shaped sections from AISC section database  can be selected."]
["14 -","Structural steel is built-in in the spreadsheet, please check AISC Table 2-4 for material applicability for W & HSS sections."]
["15-","It is understood  that Mu is resisted by fMn at a given angle l bringing the column into equilibrium. However, because the centroids also shift along global axis X, there is an unbalanced moment pedicular to the Mn with no load to bring it into equilibrium, moment is under further evaluation."]
[]
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["References"]
["-","AISC Steel construction Manual 16th ed."]
["-","ANSI/AISC 360-16 Specification for Structural Steel buildings Ch. I"]
["-","Steel Design Guide - 6 - Load & Resistance Factor Design of  W-Shapes Encased in  Concrete"]
["-","ACI 318-14 Building code requirements for Structural Concrete"]
["-","ACI 318-19 Building code requirements for Structural Concrete"]
[]
["Bibliography"]
["-","Design of Concrete Structures. 16th Ed. David Darwin, Charles W. Dolan"]
["-","Structural Steel Design. Jack C. McCormack & Stephen F. Csernak."]
["-","Structural Analysis The Analytical Method. 1st Ed. Ramon V. Jarquio"]
[]
["Variables Definitions"]
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[null,null,"Fig. 2 - Definition of section dimensions & angles."]
[]
["H:","Height of the concrete section."]
["b:","Base of the concrete section."]
["rb:","Concrete cover parallel to the concrete section base."]
["rh:","Concrete cover parallel to the concrete Height."]
["f'c:","Concrete compressive stress"]
["fy:","Reinforcement steel yield stress"]
["ec:","Concrete maximum strain"]
["r:","Reinforcement steel ratio (As/(b*H))"]
["Ey:","Steel elastic modulus."]
["eyt:","Reinforcement steel strain (fy/Ey)"]
["As:","Longitudinal reinforcement steel area."]
["hi(q):","High to each corner of the rotated section from the top highest corner. See Fig. 2."]
["bi(q):","Horizontal distance to each corner of the rotated section from the most left corner. See Fig. 2."]
["b1:","Equivalent rectangular compressive stress block factor"]
["bc:","Reinforcement steel compression elastic limit factor. Used to determine the limit between plastic and elastic behavior."]
[]
["bt:","Reinforcement steel tension elastic limit factor. Used to determine the limit between plastic and elastic behavior."]
[]
["t1b:","Top/bottom equivalent reinforcement steel thickness."]
["t1h:","Left/right sides equivalent reinforcement steel thickness."]
["Pu:","Ultimate factored axial load (from the structural analysis load combination)."]
["Mu:","Ultimate factored bending moment (from the structural analysis load combination)."]
["Mux:","Ultimate factored bending moment X-axis component (from the structural analysis load combination)."]
[]
["Muy:","Ultimate factored bending  moment Y-axis component (from the structural analysis load combination)."]
[]
["λ:","Rotation angle of the column section determined by ArcTan(Muy/Mux)"]
["Pn:","Nominal axial capacity."]
["Mn:","Nominal flexure capacity"]
["Mu∟:","2nd order non-linear geometrical moment. "]
["Pi:","Partial axial capacity for each one of the subsections  (triangles & trapezoid) derived using hi(q)."]
["Mi:","Partial flexure capacity for each one of the subsections  (triangles & trapezoid) derived using hi(q)."]
["d: ","Structural Section Height."]
["bf:","Structural Section base."]
["thss: ","Structural Section thickness of the HSS profile."]
["tw:","Structural Section thickness of the I-shaped web profile."]
["tf:","Structural Section thickness of the HSS profile base or I-shaped profile flange."]
["Asx:","Structural profile cross section area"]
["rbs:","Concrete cover parallel to the concrete section base to the Structural profile."]
["rhs:","Concrete cover parallel to the concrete section height to the Structural profile."]
["fys:","Structural steel yield stress"]
["eys:","Structural steel strain (fys/Ey)"]
["bcs:","Structural steel compression elastic limit factor. Used to determine the limit between plastic and elastic behavior."]
[]
["bts:","Structural steel tension elastic limit factor. Used to determine the limit between plastic and elastic behavior."]
[]
["rs:","Structural steel ratio (Asx/(b*H))"]
["q0:","Angle determined by ArcTan(H/b)"]
["q1:","Angle determined by ArcTan((H-2 rh)/(b-2 rb))"]
["q2:","Angle determined by ArcTan((H-2 (rh+t1b))/(b-2 (rb+t1h)))"]
["q3:","Angle determined by ArcTan(d/bf)"]
["q4:","Angle determined by ArcTan((d-2 tf)/(bf-2 thss))"]
["q5:","Angle determined by ArcTan((d-2 tf)/tw)"]

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["Design of bi-axial loaded columns."]
[]
[]
["Structural concrete dimensions",null,null,null,null,null,null,null,null,"Structural Steel dimensions"]
["Units:","Imperial",{"$f":"IF($B$5=\"Metric\",\"Pa, N, m\",\"Psi, Lb, in\")","v":"Psi, Lb, in"},"Reinf. On:","4 sides",null,null,null,null,"Structural Steel:","ASTM-A992",null,"Composite:","Yes"]
["Code:","ACI 318-14",null,null,null,null,null,null,null,"Section:","W44X230"]
["H=",55,{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"Ey=",{"$f":"IF($B$5=\"Metric\",200000000000,29000000)","v":29000000},{"$f":"IF($B$5=\"Metric\",\"Pa\",\"psi\")","v":"psi"},"bc=",{"$f":"1-eyt/ec","v":0.51724137931034486},null,"d=",{"$f":"VLOOKUP(K6,'Database v16.0'!$C$2:$X$881,IF(LEFT(K6,3)=\"HSS\",7,5),FALSE)*IF($B$5=\"Metric\",0.0254,1)","v":42.9},{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"rhs=",{"$f":"((h - d)/2)","v":6.0500000000000007},{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"}]
["b=",35,{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"eyt=",{"$f":"fy/Ey","v":1.4482758620689654E-3},null,"bt=",{"$f":"1+eyt/ec","v":1.4827586206896552},null,"bf=",{"$f":"VLOOKUP(K6,'Database v16.0'!$C$2:$X$881,IF(LEFT(K6,3)=\"HSS\",12,10),FALSE)*IF($B$5=\"Metric\",0.0254,1)","v":15.8},{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"rbs=",{"$f":"((b - bf)/2)","v":9.6},{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"}]
["rb=",2,{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"As=",{"$f":"ro*b*h","v":57.75},{"$f":"IF($B$5=\"Metric\",\"m²\",\"in²\")","v":"in²"},"b1=",{"$f":"IF(B5=\"Metric\",IF(AND(17000000<=fc,fc<=28000000),0.85,IF(AND(28000000<fc,fc<55000000),0.85-0.05/7000000*(fc-28000000),0.65)),IF(AND(2500<=fc,fc<=4000),0.85,IF(AND(4000<fc,fc<8000),0.85-0.05/1000*(fc-4000),0.65)))","v":0.85},null,"thss=",{"$f":"VLOOKUP(K6,'Database v16.0'!$C$2:$X$881,22,FALSE)*IF($B$5=\"Metric\",0.0254,1)","v":0},{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"fys=",{"$f":"VLOOKUP($K$5,'Database v16.0'!A917:G946,2,FALSE)*IF($B$5=\"Metric\",6896551.72413793,1000)","v":50000},{"$f":"IF($B$5=\"Metric\",\"Pa\",\"psi\")","v":"psi"}]
["rh=",2,{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"0.85 f'c=",{"$f":"0.85*fc","v":2550},{"$f":"IF($B$5=\"Metric\",\"Pa\",\"psi\")","v":"psi"},"t1b=",{"$f":"IF($E$5=\"4 sides\",1/8*(2*b+2*h-4*rb-SQRT(-16*as +(2*b+2*h-4*rb-4*rh)^2) -4*rh),as/(2*(b-2*rb)))","v":0.35521159207672426},{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"tw=",{"$f":"VLOOKUP(K6,'Database v16.0'!$C$2:$X$881,15,FALSE)*IF($B$5=\"Metric\",0.0254,1)","v":0.71},{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"eys=",{"$f":"fys/Ey","v":1.7241379310344827E-3}]
["f'c=",3000,{"$f":"IF($B$5=\"Metric\",\"Pa\",\"psi\")","v":"psi"},null,null,null,"t1h=",{"$f":"IF($E$5=\"4 sides\",t1b,0)","v":0.35521159207672426},{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"tf=",{"$f":"VLOOKUP(K6,'Database v16.0'!$C$2:$X$881,IF(LEFT(K6,3)=\"HSS\",22,18),FALSE)*IF($B$5=\"Metric\",0.0254,1)","v":1.22},{"$f":"IF($B$5=\"Metric\",\"m\",\"in\")","v":"in"},"bcs=",{"$f":"1-eys/ec","v":0.42528735632183912}]
["fy=",42000,{"$f":"IF($B$5=\"Metric\",\"Pa   \",\"psi\")&IF(fy>IF(B5=\"Metric\",420000000,6000),IF(B5=\"Metric\",\" fy<5.5E+08Pa or fy<4.2E+08 for Seismic\",\" fy<80000psi or fy<60000psi for Seismic\"),\"\")&\" See ACI 318 sect. 20.2.2.4\"","v":"psi fy<80000psi or fy<60000psi for Seismic See ACI 318 sect. 20.2.2.4"},null,null,null,null,null,null,"Asx=",{"$f":"IF(LEFT(K6,3)=\"HSS\",bf*d-(d-2*tf)*(bf-2*thss),bf*tf*2+tw*(d-2*tf))","v":67.278599999999997},{"$f":"IF($B$5=\"Metric\",\"m²\",\"in²\")","v":"in²"},"bts=",{"$f":"1+eys/ec","v":1.5747126436781609}]
["ec=",3.0000000000000001E-3,"See ACI Sect. 22.2.2.1 or AISC sect. 2.2b.",null,null,null,null,null,null,null,null,null,"rs=",{"$f":"K12/(b*h)","v":3.494992207792208E-2}]
["r=",0.03,{"$f":"IF(ro<0.01,\"increase upto 0.01\",IF(ro>0.08,\"Reduce to 0.08\",\"\"))&\" See ACI 318 Sect. 10.6.1.1. Estimated ρ= \"& IF(ROUNDUP(((B17/(0.8*0.65)-f1c)/(fy-f1c))/(b*h),4)<0.01,0.01,IF(AND(0.01<ROUNDUP(((B17/(0.8*0.65)-f1c)/(fy-f1c))/(b*h),4),ROUNDUP(((B17/(0.8*0.65)-f1c)/(fy-f1c))/(b*h),4)<0.08),ROUNDUP(((B17/(0.8*0.65)-f1c)/(fy-f1c))/(b*h),4),0.08))","v":" See ACI 318 Sect. 10.6.1.1. Estimated ρ= 0.01"}]
[]
["Design Requirements",null,null,null,"Diagram limits"]
["Pu",-4500000,{"$f":"IF($B$5=\"Metric\",\"N\",\"lb\")","v":"lb"},null,"Pn,max=",{"$f":"Calcs!E16","v":9690868.0095000006},{"$f":"IF($B$5=\"Metric\",\"N\",\"lb\")","v":"lb"}]
["Mux",5880000,{"$f":"IF($B$5=\"Metric\",\"N m\",\"lb in\")","v":"lb in"},null,"Pn,min=",{"$f":"Calcs!E18","v":-5210487},{"$f":"IF($B$5=\"Metric\",\"N\",\"lb\")","v":"lb"}]
["Muy",5880000,{"$f":"IF($B$5=\"Metric\",\"N m\",\"lb in\")","v":"lb in"},null,"Mn,max=",{"$f":"Calcs!E20","v":86354646.613297984},{"$f":"IF($B$5=\"Metric\",\"N m\",\"lb in\")","v":"lb in"}]
[{"$f":"\"Mu @ \"&ROUND(DEGREES(Lmda),2)&\"°\"","v":"Mu @ 45°"},{"$f":"SQRT(SUMSQ(B18:B19))","v":8315575.7467537988},{"$f":"IF($B$5=\"Metric\",\"N m\",\"lb in\")","v":"lb in"},null,"φID=",{"$f":"Calcs!E22","v":0.9}]
["λ=",{"$f":"ATAN(B19/B18)","v":0.78539816339744828},{"$f":"DEGREES(Lmda)","v":45}]
[]
[]
["Design capacities",null,null,"Overall section design."]
[null,null,null,null," ' --> ",{"$f":"B17","v":-4500000},"=",{"$f":"B17/B26","v":1.0009336823363457},{"$f":"IF(H25<1,\" < 1.0\", \" > 1.0\")","v":" > 1.0"},"Eq. 1"]
["φPn",{"$f":"Calcs!E12","v":-4495802.3487592619},{"$f":"Calcs!F12","v":"lb"},null,null,{"$f":"B26","v":-4495802.3487592619}]
["φMnx",{"$f":"Calcs!E13","v":12453761.368252369},{"$f":"Calcs!F13","v":"lb in"}]
["φMny",{"$f":"Calcs!E14","v":12453761.368252367},{"$f":"Calcs!F14","v":"lb in"},null,null,null,null,null,null,"Eq. 2",null,"Fig. 1: Rotated section "]
["φMn",{"$f":"ROUND(Calcs!E15,0)","v":17612278},{"$f":"Calcs!F15","v":"lb in"}]
[]
[null,null,null,{"$f":"\"√((\"&B18&\")^2+(\"&B19&\")^2)\"","v":"√((5880000)^2+(5880000)^2)"},null,null,null," ' --> ",{"$f":"SQRT((B18+ABS(I17))^2+(B19+ABS(I18))^2)/B29","v":0.47214651885200759},{"$f":"IF(I31<1,\" < 1.0\", \" > 1.0\")","v":" < 1.0"}]
[null,null,null,{"$f":"B29","v":17612278}]
[]
[null,"#8(#25)",{"$f":"\"Proposed \"&IF(ROUNDUP(as/(IF(Calcs!B1=\"Metric\",0.00064516,1)*IF(B34=\"#3(#10)\",0.11,IF(B34=\"#4(#13)\",0.2,IF(B34=\"#5(#16)\",0.31,IF(B34=\"#6(#19)\",0.44,IF(B34=\"#7(#22)\",0.6,IF(B34=\"#8(#25)\",0.79,IF(B34=\"#9(#29)\",1,IF(B34=\"#10(#32)\",1.27,IF(B34=\"#11(#36)\",1.56,IF(B34=\"#14(#43)\",2.25,IF(B34=\"#18(#57)\",4,0)))))))))))),0)<4,4,ROUNDUP(as/(IF(Calcs!B1=\"Metric\",0.00064516,1)*IF(B34=\"#3(#10)\",0.11,IF(B34=\"#4(#13)\",0.2,IF(B34=\"#5(#16)\",0.31,IF(B34=\"#6(#19)\",0.44,IF(B34=\"#7(#22)\",0.6,IF(B34=\"#8(#25)\",0.79,IF(B34=\"#9(#29)\",1,IF(B34=\"#10(#32)\",1.27,IF(B34=\"#11(#36)\",1.56,IF(B34=\"#14(#43)\",2.25,IF(B34=\"#18(#57)\",4,0)))))))))))),0))&\" Bars. @ \"&ROUNDUP(IF(Calcs!B1=\"Metric\",0.0254,1)*IF(B34=\"#3(#10)\",0.375,IF(B34=\"#4(#13)\",0.5,IF(B34=\"#5(#16)\",0.625,IF(B34=\"#6(#19)\",0.75,IF(B34=\"#7(#22)\",0.85,IF(B34=\"#8(#25)\",1,IF(B34=\"#9(#29)\",1.128,IF(B34=\"#10(#32)\",1.27,IF(B34=\"#11(#36)\",1.41,IF(B34=\"#14(#43)\",1.693,IF(B34=\"#18(#57)\",2.257,0))))))))))),3)*1.5&IF(Calcs!B1=\"Metric\",\"m\",\"in\")&\" max. or \"&IF(Calcs!B1=\"Metric\",\"0.038m\",\"1.5in\") &\" min. w/ties \"&IF(OR(B34=\"#3(#10)\",B34=\"#4(#13)\",B34=\"#5(#16)\",B34=\"#6(#19)\",B34=\"#7(#22)\",B34=\"#8(#25)\",B34=\"#9(#29)\",B34=\"#10(#32)\"),\"#3(#10)\",\"#4(#13)\")&\" @ \"&ROUNDUP(MIN(48*IF(Calcs!B1=\"Metric\",0.0254,1)*IF(OR(B34=\"#3(#10)\",B34=\"#4(#13)\",B34=\"#5(#16)\",B34=\"#6(#19)\",B34=\"#7(#22)\",B34=\"#8(#25)\",B34=\"#9(#29)\",B34=\"#10(#32)\"),0.375,0.5),16*IF(Calcs!B1=\"Metric\",0.0254,1)*IF(B34=\"#3(#10)\",0.375,IF(B34=\"#4(#13)\",0.5,IF(B34=\"#5(#16)\",0.625,IF(B34=\"#6(#19)\",0.75,IF(B34=\"#7(#22)\",0.85,IF(B34=\"#8(#25)\",1,IF(B34=\"#9(#29)\",1.128,IF(B34=\"#10(#32)\",1.27,IF(B34=\"#11(#36)\",1.41,IF(B34=\"#14(#43)\",1.693,IF(B34=\"#18(#57)\",2.257,0))))))))))),h,b),3) & IF(Calcs!B1=\"Metric\",\"m\",\"in\") &\" max. \"&IF(Calcs!B1=\"Metric\",\"0.038m\",\"1.5 in\")&\" min. ACI 318 Sect. 25.2.3 & 25.7.2.2\"","v":"Proposed 74 Bars. @ 1.5in max. or 1.5in min. w/ties #3(#10) @ 16in max. 1.5 in min. ACI 318 Sect. 25.2.3 & 25.7.2.2"}]
[]
["Note 1: The intent of the AISC-360 ch. I is to design the columns composite sections using a modified provisions of the ACI 318. it allows in section I.2b. The use of the Strain compatibility method which is stated in the ACI-318 sect. 22. this spreadsheet comply with the strain method as the relationships for the concrete, reinforcing steel and structural steel, strains are refered to the position of the neutral axis, this refrence leads to the calculation of the factors bc, bt, bcs & bts."]
[]
[]
[]
["Note 2: The Eq. 2 is a derivation of the load contour equation (Mux/f Mnx)a1+(Muy/f Mny)a2<1.0. with a1 = a2 = 1.0, these is because Mnx and Mny are not longer approximation but the true values of the interaction diagram for a given Pn. "]
[]
[{"$f":"\"Note 3: The section\"&IF(OR(B14<0.01,0.08<B14),\" doesn't\",\"\")&\" meet the ACI 318 requirement of minimum reinforcement steel see ACI 318 sect. 10.6.1.2\"","v":"Note 3: The section meet the ACI 318 requirement of minimum reinforcement steel see ACI 318 sect. 10.6.1.2"}]
[{"$f":"\"Note 4: The section\"&IF(N13>0.01,\"\",\" doesn't\")&\" qualify as conposite since ρs\"&IF(N13>0.01,\" > \",\" < \")&\"1% SEE AISC/ANSI 360-16 sect. I2.1a.(a)\"","v":"Note 4: The section qualify as conposite since ρs > 1% SEE AISC/ANSI 360-16 sect. I2.1a.(a)"}]
["Note 5: When using this spreadsheet for biaxial flexure on beams, the ρmax shall correspond to  a ey=0.004."]
["Note 6: Each load case from the structural analysis require one interaction diagram since each load case will yield a different axial load and  different angle (l). This requirement can be understood by extrapolating ACI-318 sect. R10.4.2."]
[]
["Note 7: Concrete section dimensions, compressive strength and reinforcement  properties require update if the units are switched between Imperial and metric.  Structural steel sections and properties does not require update unless are overwritten."]

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["Units:",{"$f":"'Input & Summary'!B5","v":"Imperial"},{"$f":"'Input & Summary'!C5","v":"Psi, Lb, in"},"Reinf. On:",{"$f":"'Input & Summary'!E5","v":"4 sides"},null,"Concrete and reinforcement steel",null,null,null,null,null,"Structural steel (Composite)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For Interaction diagram "]
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["f'c=",{"$f":"'Input & Summary'!B11","v":3000},{"$f":"'Input & Summary'!C11","v":"psi"},"λ=",{"$f":"'Input & Summary'!B21","v":0.78539816339744828},35,"h7(q)=",{"$f":"IF(Lmda>N18,H2+(b-2*rb)*SIN(Lmda),H2+(h-2*rh)*COS(Lmda))","v":38.890872965260115},"in","b7(q)=",{"$f":"K2 + (h - 2* rh)* SIN(Lmda)","v":38.890872965260115},"in","h18(q)=",{"$f":"H12-N3","v":51.710718908172225},"in","b18(q)=",{"$f":"K12-Q3","v":51.710718908172211},"in",null,null,null,null,null,null,null,null,null,null,"fy50%",{"$f":"ec/(ec-0.5*fy/Ey)*H11","v":80.160196012693163},0.65,{"$f":"VLOOKUP($AD8,$A$30:$J$229,3,TRUE)","v":6299064.2061750004},6192377.605913613,4378672.1968092341,4378672.1968092341,10146649.720261261,9526734.7783286348,6736418.764321899,6736418.7643218981]
["fy=",{"$f":"'Input & Summary'!B12","v":42000},{"$f":"'Input & Summary'!C12","v":"psi fy<80000psi or fy<60000psi for Seismic See ACI 318 sect. 20.2.2.4"},null,null,89,"h8(q)=",{"$f":"IF(Lmda>N17,b*SIN(Lmda),h*COS(Lmda))","v":38.890872965260115},"in","b8(q)=",{"$f":"h*SIN(Lmda)","v":38.890872965260108},"in","h19(q)=",{"$f":"H12-N2","v":52.57338918121981},"in","b19(q)=",{"$f":"K12-Q2","v":52.573389181219802},"in",null,null,null,null,null,null,null,null,null,null,"Pure Comp.",{"$f":"A129","v":58.488746035402272},0.65,{"$f":"VLOOKUP($AD9,$A$30:$J$229,3,TRUE)","v":5563044.7206705259},23290631.137836568,16468963.215678794,16468963.215678791,8558530.3394931164,35831740.212056257,25336866.485659681,25336866.485659678]
["ec=",{"$f":"'Input & Summary'!B13","v":3.0000000000000001E-3},{"$f":"'Input & Summary'!C13","v":"See ACI Sect. 22.2.2.1 or AISC sect. 2.2b."},null,null,null,"h9(q)=",{"$f":"H12-H3","v":60.308838131016046},"in","b9(q)=",{"$f":"K12-K3","v":60.308838131016039},"in","Structural steelweb of I shaped section (Composite)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Origin","N/A","N/A",0,0,0,0,0,0,0,0]
["r=",{"$f":"'Input & Summary'!B14","v":0.03},{"$f":"'Input & Summary'!C14","v":" See ACI 318 Sect. 10.6.1.1. Estimated ρ= 0.01"},null,null,null,"h10(q)=",{"$f":"H12-H2","v":60.811183182043088},"in","b10(q)=",{"$f":"K12-K2","v":60.811183182043081},"in","h20(q)=",{"$f":" (rhs + tf)*COS(Lmda) + (b - tw)/2*SIN(Lmda)","v":17.264012062669558},{"$f":"IF($B$1=\"Metric\",\"m\",\"in\")","v":"in"},"b20(q)=",{"$f":" (rhs + tf)*SIN(Lmda)+ (b - tw)/2 *COS(Lmda)","v":17.264012062669558},{"$f":"IF($B$1=\"Metric\",\"m\",\"in\")","v":"in"},null,null,null,null,null,null,null,null,null,null,"For Load Contour diagram "]
[null,null,null,"fPn",{"$f":"VLOOKUP(IF((E4-INDEX(C30:C229,MATCH(VLOOKUP(E4,C30:C229,1,TRUE),C30:C229,1),1))>0,INDEX(C30:C229,MATCH(VLOOKUP(E4,C30:C229,1,TRUE),C30:C229,1)+1,1),INDEX(C30:C229,MATCH(VLOOKUP(E4,C30:C229,1,TRUE),C30:C229,1),1)),C30:R229,1,TRUE)","v":-4495802.3487592619},{"$f":"IF($B$1=\"Metric\",\"N\",\"lb\")","v":"lb"},"h11(q)=",{"$f":"H4+H9","v":63.63961030678928},"in","b11(q)=",{"$f":"K4+K9","v":63.639610306789272},"in","h21(q)=",{"$f":"N11+IF(Lmda<=N22, tw*SIN(Lmda), (d - 2*tf)*COS(Lmda))","v":17.766057877312008},"in","b21(q)=",{"$f":"Q11 + tw*COS(Lmda)","v":17.766057877312008},"in",null,null,null,null,null,null,null,null,null,null,{"$f":"H29","v":"Mn @ 45°"},{"$f":"INDEX(A30:B129,IF(E4>=INDEX(A30:D129,MATCH(MAX(D30:D129),D30:D129,0),3),MATCH(E4,C30:C129,1)+1,MATCH(E4,C30:C129,1)),1)","v":8.8619312174936642},{"$f":"VLOOKUP($AD$12,$A$30:$J$129,2,FALSE)","v":0.9},{"$f":"VLOOKUP($AD$12,$A$30:$J$129,3,FALSE)","v":-4594569.6156437928},"N/A",{"$f":"VLOOKUP($AD$12,$A$30:$J$129,5,FALSE)","v":10974295.908272061},{"$f":"VLOOKUP($AD$12,$A$30:$J$129,6,FALSE)","v":10974295.90827206},{"$f":"VLOOKUP($AD$12,$A$30:$J$129,7,FALSE)","v":-5105077.3507153252},"N/A",{"$f":"VLOOKUP($AD$12,$A$30:$J$129,9,FALSE)","v":12193662.12030229},{"$f":"VLOOKUP($AD$12,$A$30:$J$129,10,FALSE)","v":12193662.120302288}]
["Ey=",{"$f":"'Input & Summary'!E7","v":29000000},{"$f":"'Input & Summary'!F7","v":"psi"},"fMnx",{"$f":"VLOOKUP(E12,C30:F229,3,FALSE)","v":12453761.368252369},{"$f":"IF($B$1=\"Metric\",\"N m\",\"lb in\")","v":"lb in"},{"$f":"matc","v":{"$error":"#NAME?"}},null,null,null,null,null,"h22(q)=",{"$f":"N11+IF(Lmda>N22, tw*SIN(Lmda), (d - 2*tf)*COS(Lmda))","v":45.873552429477272},"in","b22(q)=",{"$f":" Q11+ (d - 2*tf)* SIN(Lmda)","v":45.873552429477272},"in"]
["eyt=",{"$f":"'Input & Summary'!E8","v":1.4482758620689654E-3},null,"fMny",{"$f":"VLOOKUP(E12,C30:F229,4,FALSE)","v":12453761.368252367},{"$f":"IF($B$1=\"Metric\",\"N m\",\"lb in\")","v":"lb in"},"Structural Steel dimensions",null,null,null,null,null,"h23(q)=",{"$f":"H12-N11","v":46.375598244119722},"in","b23(q)=",{"$f":"K12-Q11","v":46.375598244119715},"in",null,null,null,null,null,null,null,null,null,null,{"$f":"AC7","v":"fy0%"},{"$f":"AD7","v":60.811183182043088}]
["As=",{"$f":"'Input & Summary'!E9","v":57.75},{"$f":"'Input & Summary'!F9","v":"in²"},"fMn",{"$f":"VLOOKUP(E12,C30:F229,2,FALSE)","v":17612278.229540609},{"$f":"IF($B$1=\"Metric\",\"N m\",\"lb in\")","v":"lb in"},"Structural Steel:",{"$f":"'Input & Summary'!K5","v":"ASTM-A992"},{"$f":"'Input & Summary'!L5","v":0},"Composite:",{"$f":"'Input & Summary'!N5","v":"Yes"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tens. Ctrl Lim.",{"$f":"AD4","v":22.804193693266157}]
["0.85 f'c=",{"$f":"'Input & Summary'!E10","v":2550},{"$f":"'Input & Summary'!F10","v":"psi"},"Pn,max=",{"$f":"IF(K15=\"Yes\",0.85,0.8)*f1c*(h*b-as-IF(K15=\"Yes\",H22,0))+fy*as+fys*IF(K15=\"Yes\",H22,0)","v":9690868.0095000006},{"$f":"IF($B$1=\"Metric\",\"N\",\"lb\")","v":"lb"},"Section:",{"$f":"'Input & Summary'!K6","v":"W44X230"},{"$f":"'Input & Summary'!L6","v":0},null,null,null,"Critical angles",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Comp. Ctrl Lim.",{"$f":"AD6","v":41.012193308819754}]
["bc=",{"$f":"'Input & Summary'!H7","v":0.51724137931034486},null,"Mu∟,max=",{"$f":"MAX(O30:O129)","v":0},{"$f":"IF($B$1=\"Metric\",\"N m\",\"lb in\")","v":"lb in"},"d=",{"$f":"'Input & Summary'!K7","v":42.9},{"$f":"'Input & Summary'!L7","v":"in"},"rhs=",{"$f":"'Input & Summary'!N7","v":6.0500000000000007},{"$f":"'Input & Summary'!O7","v":"in"},"q0=",{"$f":"ATAN(h/ b)","v":1.0040671092713902},{"$f":"DEGREES(N17)","v":57.528807709151508}]
["bt=",{"$f":"'Input & Summary'!H8","v":1.4827586206896552},null,"Pn,min=",{"$f":"MIN(C30:C129)","v":-5210487},{"$f":"IF($B$1=\"Metric\",\"N\",\"lb\")","v":"lb"},"bf=",{"$f":"'Input & Summary'!K8","v":15.8},{"$f":"'Input & Summary'!L8","v":"in"},"rbs=",{"$f":"'Input & Summary'!N8","v":9.6},{"$f":"'Input & Summary'!O8","v":"in"},"q1=",{"$f":"ATAN((h - 2* rh)/(b - 2*rb))","v":1.024629763361109},{"$f":"DEGREES(N18)","v":58.706961004079815},null,null,null,null,null,null,null,null,null,null,null,null,null,"stirrup size",{"$f":"IF(B1=\"Metric\",0.0254,1)*IF(OR('Input & Summary'!B34=\"#3(#10)\",'Input & Summary'!B34=\"#4(#13)\",'Input & Summary'!B34=\"#5(#16)\",'Input & Summary'!B34=\"#6(#19)\",'Input & Summary'!B34=\"#7(#22)\",'Input & Summary'!B34=\"#8(#25)\",'Input & Summary'!B34=\"#9(#29)\",'Input & Summary'!B34=\"#10(#32)\"),0.375,0.5)","v":0.375}]
["b1=",{"$f":"'Input & Summary'!H9","v":0.85},null,"Mu∟,min=",{"$f":"MIN(O30:O129)","v":0},{"$f":"IF($B$1=\"Metric\",\"N m\",\"lb in\")","v":"lb in"},"thss=",{"$f":"'Input & Summary'!K9","v":0},{"$f":"'Input & Summary'!L9","v":"in"},"fys=",{"$f":"'Input & Summary'!N9","v":50000},{"$f":"'Input & Summary'!O9","v":"psi"},"q2=",{"$f":"ATAN((h - 2* (rh + t1b))/(b - 2* ( rb + t1h)))","v":1.028684962751053},58.93930681420764,null,null,null,null,null,null,null,null,null,null,null,null,null,"rebar area",{"$f":"IF(B1=\"Metric\",0.0254,1)*IF('Input & Summary'!B34=\"#3(#10)\",0.375,IF('Input & Summary'!B34=\"#4(#13)\",0.5,IF('Input & Summary'!B34=\"#5(#16)\",0.625,IF('Input & Summary'!B34=\"#6(#19)\",0.75,IF('Input & Summary'!B34=\"#7(#22)\",0.85,IF('Input & Summary'!B34=\"#8(#25)\",1,IF('Input & Summary'!B34=\"#9(#29)\",1.128,IF('Input & Summary'!B34=\"#10(#32)\",1.27,IF('Input & Summary'!B34=\"#11(#36)\",1.41,IF('Input & Summary'!B34=\"#14(#43)\",1.693,IF('Input & Summary'!B34=\"#18(#57)\",2.257,0)))))))))))","v":1}]
["t1b=",{"$f":"'Input & Summary'!H10","v":0.35521159207672426},{"$f":"'Input & Summary'!I10","v":"in"},"Mn,max=",{"$f":"MAX(H30:H129)","v":86354646.613297984},{"$f":"IF($B$1=\"Metric\",\"N m\",\"lb in\")","v":"lb in"},"tw=",{"$f":"'Input & Summary'!K10","v":0.71},{"$f":"'Input & Summary'!L10","v":"in"},"eys=",{"$f":"'Input & Summary'!N10","v":1.7241379310344827E-3},null,"q3=",{"$f":"ATAN(d/bf)","v":1.2179139653259974},69.781330023222139]
["t1h=",{"$f":"'Input & Summary'!H11","v":0.35521159207672426},{"$f":"'Input & Summary'!I11","v":"in"},null,null,null,"tf=",{"$f":"'Input & Summary'!K11","v":1.22},{"$f":"'Input & Summary'!L11","v":"in"},"bcs=",{"$f":"'Input & Summary'!N11","v":0.42528735632183912},null,"q4=",{"$f":"ATAN((d - 2*tf)/(bf - 2*thss))","v":1.1984984014886473},68.668900158475154]
[null,null,null,"φID",{"$f":"INDEX(B30:B129,MATCH(VLOOKUP(E12,C30:C129,1,TRUE),C30:C129,0),1)","v":0.9},null,"Asx=",{"$f":"'Input & Summary'!K12","v":67.278599999999997},{"$f":"'Input & Summary'!L12","v":"in²"},"bts=",{"$f":"'Input & Summary'!N12","v":1.5747126436781609},null,"q5=",{"$f":"IF(tw=0,ATAN((d - 2* tf)/0.00000001),ATAN((d - 2* tf)/tw))","v":1.5532499319722435},88.994665630991776,null,null,null,null,null,{"$f":"'Input & Summary'!A44","v":"Note 5: When using this spreadsheet for biaxial flexure on beams, the ρmax shall correspond to  a ey=0.004."}]
[null,null,null,null,null,null,null,null,null,"rs=",{"$f":"'Input & Summary'!N13","v":3.494992207792208E-2}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"'Input & Summary'!A42","v":"Note 3: The section meet the ACI 318 requirement of minimum reinforcement steel see ACI 318 sect. 10.6.1.2"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"'Input & Summary'!A43","v":"Note 4: The section qualify as conposite since ρs > 1% SEE AISC/ANSI 360-16 sect. I2.1a.(a)"}]
[]
[null,null,"Interaction Diagram",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Interaction diagram data"]
[null,null,"factored capacity",null,null,null,"Total Nominal Capacity",null,null,null,null,null,null,null,null,null,null,null,null,null,"Concrete","Steel plastic compr.",null,"Steel plastic tension",null,"Steel elastic tension",null,null,null,null,null,"Steel elastic compression",null,null,null,null,null,"Structural Steel plastic compr.",null,"Structural Steel plastic tension",null,"Structural Steel elastic tension",null,null,null,null,null,"Structural Steel elastic compression",null,null,null,null,null,"Structural Steel web plastic compr.","Structural Steel web plastic Tension.","Structural Steel web elastic tension",null,null,"Structural Steel web elastic compression",null,null,"Concrete","Steel plastic compr.",null,"Steel plastic tension",null,"Steel elastic tension",null,null,null,null,null,"Steel elastic compression",null,null,null,null,null,"Structural Steel plastic compr.",null,"Structural Steel plastic tension",null,"Structural Steel elastic tension",null,null,null,null,null,"Structural Steel elastic compression",null,null,null,null,null,"Structural Steel web plastic compr.","Structural Steel web plastic Tension.","Structural Steel web elastic tension",null,null,"Structural Steel web elastic compression"]
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["HSS","HSS21/4X21/4X.125","HSS21/4X21/4X1/8",null,3.48,0.95599999999999996,null,null,2.25,1.9,null,null,null,2.25,1.9,null,null,null,null,null,null,null,0.125,0.11600000000000001]
["HSS","HSS2X2X.250","HSS2X2X1/4",null,5.41,1.51,null,null,2,1.3,null,null,null,2,1.3,null,null,null,null,null,null,null,0.25,0.23300000000000001]
["HSS","HSS2X2X.188","HSS2X2X3/16",null,4.32,1.19,null,null,2,1.48,null,null,null,2,1.48,null,null,null,null,null,null,null,0.1875,0.17399999999999999]
["HSS","HSS2X2X.125","HSS2X2X1/8",null,3.05,0.84,null,null,2,1.65,null,null,null,2,1.65,null,null,null,null,null,null,null,0.125,0.11600000000000001]
["HSS","HSS2X11/2X.188","HSS2X11/2X3/16",null,3.68,1.02,null,null,2,1.48,null,null,null,1.5,0.97799999999999998,null,null,null,null,null,null,null,0.1875,0.17399999999999999]
["HSS","HSS2X11/2X.125","HSS2X11/2X1/8",null,2.63,0.72399999999999998,null,null,2,1.65,null,null,null,1.5,1.1499999999999999,null,null,null,null,null,null,null,0.125,0.11600000000000001]
["HSS","HSS2X1X.188","HSS2X1X3/16",null,3.04,0.84499999999999997,null,null,2,1.48,null,null,null,1,0.47799999999999998,null,null,null,null,null,null,null,0.1875,0.17399999999999999]
["HSS","HSS2X1X.125","HSS2X1X1/8",null,2.2000000000000002,0.60799999999999998,null,null,2,1.65,null,null,null,1,0.65200000000000002,null,null,null,null,null,null,null,0.125,0.11600000000000001]
["HSS","HSS11/2X11/2X0.250","HSS11/2X11/2X1/4",null,3.71,1.04,null,null,1.5,0.80100000000000005,null,null,null,1.5,"0.801",null,null,null,null,null,null,null,0.25,0.23300000000000001]
["HSS","HSS11/2X11/2X0.188","HSS11/2X11/2X3/16",null,3.04,0.84499999999999997,null,null,1.5,0.97799999999999998,null,null,null,1.5,"0.978",null,null,null,null,null,null,null,0.188,0.17399999999999999]
["HSS","HSS11/2X11/2X0.125","HSS11/2X11/2X1/8",null,2.2000000000000002,0.60799999999999998,null,null,1.5,1.1499999999999999,null,null,null,1.5,"1.15",null,null,null,null,null,null,null,0.125,0.11600000000000001]
[]
[null,null,1,{"$f":"C883+1","v":2},{"$f":"D883+1","v":3},4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]
[]
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[null,{"$f":"B885","v":0},{"$f":"C885","v":24.748737341529161},"h3(q)"]
["b1(q)=",{"$f":"Calcs!K2","v":2.8284271247461898},{"$f":"IF(Lmda<=Calcs!N18,Calcs!H5,Calcs!H8)","v":24.748737341529164},"h4(q)"]
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["b7(q)=",{"$f":"Calcs!K8","v":38.890872965260115},{"$f":"Calcs!H11","v":60.811183182043088},"h10(q)"]
["b1(q)=",{"$f":"B890","v":2.8284271247461898},{"$f":"C890","v":24.748737341529164},"h4(q)"]
["b2(q)=",{"$f":"Calcs!K3","v":3.3307721757732329},{"$f":"IF(Lmda<=Calcs!N19,Calcs!H6,Calcs!H7)","v":24.748737341529161},"h5(q)"]
["b5(q)=",{"$f":" Calcs!K6","v":24.748737341529164},{"$f":"Calcs!H3","v":3.3307721757732329},"h2(q)"]
["b9(q)=",{"$f":"Calcs!K10","v":60.308838131016039},{"$f":"IF(Lmda>Calcs!N19,Calcs!H6,Calcs!H7)","v":38.890872965260115},"h6(q)"]
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["b2(q)=",{"$f":"B895","v":3.3307721757732329},{"$f":"C895","v":24.748737341529161},"h5(q)"]
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["b14(q)=",{"$f":"IF(Calcs!K15=\"No\",0,Calcs!Q4)","v":22.23850826831692},{"$f":"IF(Calcs!K15=\"No\",0,Calcs!N2)","v":11.066221125569468},"h12(q)"]
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["b17(q)=",{"$f":"IF(Calcs!K15=\"No\",0,Calcs!Q7)","v":41.401102038472359},{"$f":"IF(Calcs!K15=\"No\",0,Calcs!N9)","v":52.57338918121981},"h19(q)"]
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["b15(q)=",{"$f":"IF(Calcs!K15=\"No\",0,Calcs!Q5)","v":23.101178541364511},{"$f":"IF(Calcs!K15=\"No\",0,Calcs!N3)","v":11.928891398617056},"h13(q)"]
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["b16(q)=",{"$f":"IF(Calcs!K15=\"No\",0,Calcs!Q6)","v":40.538431765424768},{"$f":"IF(Calcs!K15=\"No\",0,Calcs!N8)","v":51.710718908172225},"h18(q)"]
["b13(q)=",{"$f":"B905","v":11.928891398617058},{"$f":"C905","v":23.101178541364504},"h15(q)"]
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["b23(q)=",{"$f":"IF(AND(Calcs!K15=\"Yes\",LEFT(Calcs!H16,3)<>\"HSS\"),Calcs!Q14,0)","v":46.375598244119715},{"$f":"IF(AND(Calcs!K15=\"Yes\",LEFT(Calcs!H16,3)<>\"HSS\"),IF(Lmda>Calcs!N22,Calcs!N12,Calcs!N13),0)","v":45.873552429477272},"h22(q)"]
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["b20(q)=",{"$f":"B910","v":17.264012062669558},{"$f":"C910","v":17.766057877312008},"h21(q)"]
[]
[null,"Fy","Fu","Notes",null,"a","b"]
["ASTM-A1043 Gr. 36",36,58,"Carbon Steel","W"]
["ASTM-A1043 Gr. 50",50,65,"Carbon Steel","W"]
["ASTM-A36",36,58,"Carbon Steel","WMSHPCMCL"]
["ASTM-A529 Gr. 50",50,65,"Carbon Steel","WMSHPCMCL"]
["ASTM-A529 Gr. 55",55,70,"Carbon Steel","WMSHPCMCL"]
["ASTM-A709 Gr. 36",36,58,"Carbon Steel","WMSHPCMCL"]
["ASTM-A572 Gr. 42",42,60,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A572 Gr. 50",50,65,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A572 Gr. 55",55,70,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A572 Gr. 60",60,75,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A572 Gr. 65",65,80,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A709 Gr. 50",50,65,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A709 Gr. 50S",50,65,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A709 Gr. 50W",50,70,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A913 Gr.50",50,75,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A913 Gr.60",60,75,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A913 Gr.65",65,80,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A913 Gr.70",70,90,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A992",50,65,"High Strength Low Allow","WMSHPCMCL"]
["ASTM-A588",50,70,"Corrosion Resistant High Strength Low Allow","WMSHPCMCL"]
["ASTM-A1065 Gr. 50",50,60,"High Strength Low Allow",null,null,"Rect"]
["ASTM-A500 Gr. B 46",46,58,"Carbon Steel",null,null,"Rect"]
["ASTM-A500 Gr. C 50",50,62,"Carbon Steel",null,null,"Rect"]
["ASTM-A1065 Gr. 50W",50,70,"Corrosion Resistant High Strength Low Allow",null,null,"Rect"]
["ASTM-A501 Gr. A",36,58,"Carbon Steel",null,"round","Rect"]
["ASTM-A501 Gr. B",50,70,"Carbon Steel",null,"round","Rect"]
["ASTM-A1085 Gr. A",50,65,"Carbon Steel",null,"round","Rect"]
["ASTM-A618 Gr. Ia, Ib &II",50,70,"High Strength Low Allow",null,"round","Rect"]
["ASTM-A618 Gr. III",50,65,"High Strength Low Allow",null,"round","Rect"]
["ASTM-A847",50,70,"Corrosion Resistant High Strength Low Allow",null,"round","Rect"]
["ASTM-A500 Gr. B 42",42,58,"Carbon Steel",null,"round"]
["ASTM-A500 Gr. C 46",46,62,"Carbon Steel",null,"round"]
["ASTM-A53 Gr. B",35,60,"Carbon Steel","pipe"]