LRFD Compression Member Design
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PROJECT SECTION 1 CODE TITLE DATE 1/27/2012 LRFD SPECS. FILELRFD_compression_member_design.xls TIME 2:12 AM SINGLE ANGLE SECTION COMPRESSION DESIGN DESCRIPTION -Check design compression strength of single angle members to AISC LRFD Single Angle Specifications 3rd Ed. -Material assumed to conform to ASTM A36 -Design Example 4.3 from AISC LRFD INPUT PARAMETERS -Factored Axial Load Pu = = 800 [kip] 3556 [kN] -Member Unbraced Length L = = 96.0 [in] 2438.4 [mm] -Member Size Des = = L4X3-1/2X5/16 [] -Table Row row = Match(Des,section,0) = 457 [] Boundary Conditions -unbraced length factor Kx = = 1.0 [] 1.0 [] -unbraced length factor Ky = = 1.0 [] 1.0 [] -unbraced length factor Kz = = 1.0 [] 1.0 [] MATERIAL -Yield strength Fy = = 36 [ksi] 248 [MPa] -Shear Modulus Gs = 11200 [ksi] 77241 [MPa] -Elastic Modulus E = = 29000 [ksi] 200000 [MPa] Section Properties -Member Designation = L4X3-1/2X5/16 [] L102X89X7.9 [] -Gross Area Ag = index(table,row,4) = 2.25 [in^2] 1451.61 [mm^2] -Flexural Constant Hc = index(table,row,48) = 0.000 [in] 0.00 [mm] -Radius of Gyration about Z RZ = index(table,row,39) = 0.72 [in] 18.31 [mm] -Radius of Gyration about Y RY = index(table,row,38) = 1.06 [in] 26.92 [mm] -Radius of Gyration about X RX = index(table,row,34) = 1.25 [in] 31.75 [mm] -Polar Radius of Gyration about shear centre ro = index(table,row,47) = 2.08 [in] 52.8 [mm] -Moment of Inertia about x-x Ix = index(table,row,31) = 3.5 [in^4] 1469297 [mm^4] -Thickness tk = index(table,row,13) = 0.313 [in] 7.94 [mm] -Leg 1 ss = index(table,row,9) = 3.5 [in] 88.90 [mm] -Leg 2 ll = index(table,row,5) = 4.0 [in] 101.60 [mm] -Moment of Inertia about y-y Iy = index(table,row,35) = 2.52 [in^4] 1048903 [mm^4] -Torsional Constant J = Ix+Iy = 6.05 [in^4] 2518200 [mm^4] -Reduction Factor for unstiffened elements Qs = index(table,row,50) = 0.997 [] 1 [] CALCULATIONS SLENDERNES -Slenderness about x-x SLx = Kx*L/RX = 76.80 [] 76.80 [] -Slenderness about z-z SLz = Kz*L/RZ = 133.15 [] 133.15 [] -Slenderness about y-y SLy = Ky*L/RY = 90.57 [] 90.57 [] -CheckSlenderness Chk = = OK [] [] AXIAL COMPRESSION -Limiting Slenderness Parameter = 0.45*sqrt(E/Fy) = 12.77 [] 12.77 [] -Check if section elements comply with LRFD E2 Sld = = Does not Comply (Table 1-14) -Buckling axis = Y-Y Buckling -Column Slenderness Parameter = max(SLx,SLy,SLz)*(1/pi())*sqrt(Fy/E) = 1.4933 [] 1.493 [] -LOCAL BUCKLING -Critical Stress Fcrl = = 14.154 [ksi] 98 [MPa] (4-1,2) -Local Buckling Strength Pnl = 0.9*Fcrl*Ag = 28.7 [kip] 127 [kN] -Check for Elastic Buckling if(Pu>Pnl,"NOT OK","OK") = NOT OK if(max(SLx, Sly,SLx)>200,"NOT OK","OK") l r if(Qs=1,"Complies with LRFD E2","Does not Comply") if(SLy>SLx, "Y-Y Buckling","X-X Buckling") l c if( l c*sqrt(Qs)<=1.5, (Qs*0.658^(Qs* l c^2)*Fy), (0.877/ l c^2)*Fy)
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Transcript of LRFD Compression Member Design
PROJECT TITLE FILE LRFD_compression_member_design.xls
SECTION DATE TIME
1 CODE 1/27/2012 LRFD SPECS. 2:12 AM
SINGLE ANGLE SECTION COMPRESSION DESIGN
DESCRIPTION -Check design compression strength of single angle members to AISC LRFD Single Angle Specifications 3rd Ed. -Material assumed to conform to ASTM A36 -Design Example 4.3 from AISC LRFD INPUT PARAMETERS -Factored Axial Load -Member Unbraced Length -Member Size -Table Row Boundary Conditions -unbraced length factor -unbraced length factor -unbraced length factor MATERIAL -Yield strength -Shear Modulus -Elastic Modulus Section Properties -Member Designation -Gross Area -Flexural Constant -Radius of Gyration about Z -Radius of Gyration about Y -Radius of Gyration about X -Polar Radius of Gyration about shear centre -Moment of Inertia about x-x -Thickness - Leg 1 - Leg 2 -Moment of Inertia about y-y -Torsional Constant -Reduction Factor for unstiffened elements Pu L Des row = = = = Match(Des,section,0) = = = = 800 [kip] 96.0 [in] L4X3-1/2X5/16 [] 457 [] 3556 [kN] 2438.4 [mm]
Kx Ky Kz
= = =
= = =
1.0 [] 1.0 [] 1.0 []
1.0 [] 1.0 [] 1.0 []
Fy Gs E
= = =
= =
36 [ksi] 11200 [ksi] 29000 [ksi]
248 [MPa] 77241 [MPa] 200000 [MPa]
Ag Hc RZ RY RX ro Ix tk ss ll Iy J Qs
= = = = = = = = = = = = =
index(table,row,4) index(table,row,48) index(table,row,39) index(table,row,38) index(table,row,34) index(table,row,47) index(table,row,31) index(table,row,13) index(table,row,9) index(table,row,5) index(table,row,35) Ix+Iy index(table,row,50)
= = = = = = = = = = = = = =
L4X3-1/2X5/16 [] 2.25 [in^2] 0.000 [in] 0.72 [in] 1.06 [in] 1.25 [in] 2.08 [in] 3.5 [in^4] 0.313 [in] 3.5 [in] 4.0 [in] 2.52 [in^4] 6.05 [in^4] 0.997 []
L102X89X7.9 [] 1451.61 [mm^2] 0.00 [mm] 18.31 [mm] 26.92 [mm] 31.75 [mm] 52.8 [mm] 1469297 [mm^4] 7.94 [mm] 88.90 [mm] 101.60 [mm] 1048903 [mm^4] 2518200 [mm^4] 1 []
CALCULATIONS SLENDERNES -Slenderness about x-x -Slenderness about z-z -Slenderness about y-y -Check Slenderness AXIAL COMPRESSION -Limiting Slenderness Parameter -Check if section elements comply with LRFD E2 -Buckling axis -Column Slenderness Parameter -LOCAL BUCKLING -Critical Stress -Local Buckling Strength -Check for Elastic Buckling Fcrl Pnl lc
SLx SLz SLy Chk
= Kx*L/RX = Kz*L/RZ = Ky*L/RY if(max(SLx, Sly,SLx)>200,"NOT = OK","OK")
= = = =
76.80 [] 133.15 [] 90.57 [] OK []
76.80 [] 133.15 [] 90.57 [] []
lr Sld
= 0.45*sqrt(E/Fy) if(Qs=1,"Complies with LRFD = E2","Does not Comply") if(SLy>SLx, "Y-Y Buckling","X-X Buckling")
= = =
12.77 [] Does not Comply Y-Y Buckling 1.4933 []
12.77 [] (Table 1-14)
= max(SLx,SLy,SLz)*(1/pi())*sqrt(Fy/E) = if(lc*sqrt(Qs)Pnl,"NOT OK","OK")
1.493 []
= = =
14.154 [ksi] 28.7 [kip] NOT OK
98 [MPa] 127 [kN]
(4-1,2)
PROJECT TITLE FILE
SECTION DATE TIME
1 CODE 1/27/2012 LRFD SPECS. 2:12 AM
WT SECTION COMPRESSION DESIGN
DESCRIPTION -Check design compression strength of WT members to AISC LRFD 3rd Ed. -Material assumed to conform to ASTM A992 -Design Example 4.7 from AISC LRFD INPUT PARAMETERS -Factored Axial Load -Member Unbraced Length -Member Size -Table Row Boundary Conditions -unbraced length factor -unbraced length factor -unbraced length factor MATERIAL -Yield strength -Shear Modulus -Elastic Modulus Section Properties -Member Designation -Gross Area -Flexural Constant -Radius of Gyration about Y -Radius of Gyration about X -Polar Radius of Gyration about shear centre -Moment of Inertia about x-x -Moment of Inertia about y-y -Torsional Constant -Warping Constant -Reduction Factor for unstiffened elements -Flange width -Thickness of flange -Stem thickness -Overall depth CALCULATIONS SLENDERNES -Slenderness about x-x -Slenderness about y-y -Check Slenderness AXIAL COMPRESSION -Limiting Slenderness Parameter -Check if section elements comply with LRFD E2 -Buckling axis Pu L Des row = = = = Match(Des,section,0) = = = = 800 [kip] 240.0 [in] WT13.5X42 [] 601 [] 3556 [kN] 6096 [mm]
Kx Ky Kz
= = =
= = =
1.0 [] 1.0 [] 1.0 []
1.0 [] 1.0 [] 1.0 []
Fy Gs E
= = =
= =
50 [ksi] 11200 [ksi] 29000 [ksi]
345 [MPa] 77241 [MPa] 200000 [MPa]
Ag Hc RY RX ro Ix Iy J Cw Qs bf tf tw d
= = = = = = = = = = = = = =
index(table,row,4) index(table,row,48) index(table,row,38) index(table,row,34) index(table,row,47) index(table,row,31) index(table,row,35) index(table,row,40) index(table,row,41) index(table,row,50) index(table,row,8) index(table,row,12) index(table,row,11) index(table,row,5)
= = = = = = = = = = = = = = =
WT13.5X42 [] 12.40 [in^2] 0.685 [in] 2.07 [in] 4.18 [in] 5.63 [] 216.0 [in^4] 52.80 [in^4] 1.4 [in^4] 7.8 [in^6] 0.5 [] 10.0 [in] 0.6 [in] 0.5 [in] 13.4 [in]
WT345X62.5 [] 12 [mm^2] 17 [mm] 53 [mm] 106 [mm] 6 [] 89905988 [mm^4] 21977019 [mm^4] 375950213 [mm^4] 3242443 [mm^6] 0.5 [] 253 [mm] 16 [mm] 12 [mm] 340 [mm]
SLx SLy Chk
= Kx*L/RX = Ky*L/RY = if(max(SLx, SLy)>200,"NOT OK","OK")
= = =
57.42 [] 115.94 [] OK []
57.42 [] 115.94 [] []
lr Sld Fex Fey Fez
= 0.45*sqrt(E/Fy) if(Qs=1,"Complies with LRFD E2","Does not = Comply") if(SLy>SLx, "Y-Y Buckling","X-X Buckling") = (pi()^2*E)/((Kx*L/Rx)^2) = (pi()^2*E)/((Ky*L/Ry)^2) = (((pi()^2*E*Cw)/(Kz*L)^2)+J*Gs)*(1/(Ag*ro^2)) if(Sld="Does not Comply",min(((Fey+Fez)/ (2*Hc))*(1-sqrt(1-((4*Fey*Fez*Hc)/ ((Fey+Fez)^2)))),((Fex+Fez)/(2*Hc))*(1-sqrt(1= ((4*Fex*Fez*Hc)/((Fex+Fez)^2))))),"N/A")
= = = = = =
10.84 [] Does not Comply Y-Y Buckling 86.82 [ksi] 21.29 [ksi] 39.99 [ksi]
10.84 [] (Table 1-14) 598.77 [Mpa] 146.84 [Mpa] 275.81 [Mpa] (A-E3-10) (A-E3-11) (A-E3-12)
-Critical flexural-torsional buckling stress
Fe
=
17.20 [ksi]
118.63 [Mpa]
(A-E3-5)
-Column Slenderness Parameter -Column Slenderness Parameter -Flexural Torsional Buckling Stresses
lc lee Fcrz
if(Sld="Does not Comply","N/A",max(SLx,SLy)*(1/pi())*sqrt(Fy/E) = ) = = if(Sld="Does not Comply",sqrt(Fy/Fe),"N/A") = if(Sld="Does not Comply",(Gs*J)/ = (Ag*ro^2),"N/A") = if(Sld="Does not Comply",if(Qs=1, if(lee
