PROJECT SECTION 1 CODE TITLE DATE 5/7/2022 LRFD SPECS. FILE TIME 5:08 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 centr 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 [] -Check Slenderness Chk = = OK [] [] AXIAL COMPRESSION -Limiting Slenderness Parameter = 0.45*sqrt(E/Fy) = 12.77 [] 12.77 [] -Check if section elements comply with LRFD Sld = = Does not Comply (Table 1-14) -Buckling axis = Y-Y Buckling -Column Slenderness Parameter = = 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 s if(max(SLx, Sly,SLx)>200,"NOT OK","OK") lr if(Qs=1,"Complies with LRFD E2","Does not Comply") if(SLy>SLx, "Y-Y Buckling","X- X Buckling") lc max(SLx,SLy,SLz)*(1/ pi())*sqrt(Fy/E) if(lc*sqrt(Qs)<=1.5, (Qs*0.658^(Qs*lc^2)*Fy), (0.877/lc^2)*Fy)