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
