V. AISC 360-10 WT E.7
Verify the compressive strength of a WT section per the LRFD and ADS methods of the AISC 360-10 codes.
References
- American Institute of Steel Construction. 2010 Steel Construction Manual. Fourteenth Edition. AISC: Chicago, IL.
-
American Institute of Steel Construction. 2011. Design Examples, Version 14.0. AISC:Chicago, IL. Example E.7, pp.E-37 - E-41
Note: This reference is freely available for download from the AISC website at https://www.aisc.org/globalassets/aisc/university-programs/teaching-aids/first-semester-design-examples.pdf
Details
From reference (2):
Select an ASTM A992 nonslender WT-shape compression member with a length of 20 ft to support a dead load of 20 kips and live load of 60 kips in axial compression. The ends are pinned.
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| ϕcPn (kips) [LRFD] | 128 | 127 | negligible | |
| Pn/Ωc (kips) [ASD] | 85.0 | 84.3 | negligible |
STAAD.Pro Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-10 WT E.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 22-Jan-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 0 20 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
ISOTROPIC STEEL_50_KSI
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 7200 FU 8928 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE T W14X68
CONSTANTS
MATERIAL STEEL_50_KSI ALL
SUPPORTS
1 PINNED
2 FIXED BUT FY MX MZ
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
JOINT LOAD
2 FY -20
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
JOINT LOAD
2 FY -60
LOAD COMB 3 LRFD
1 1.2 2 1.6
LOAD COMB 4 ASD
1 1.0 2 1.0
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
METHOD LRFD
FYLD 50 ALL
FU 65 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
FYLD 50 ALL
FU 65 ALL
METHOD ASD
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD.Pro Output
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 T W14X68 (AISC SECTIONS) PASS Eq. H2-1 0.947 3 120.00 C 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 133.504 L/C : 3 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.947(PASS) | | Loc : 0.00 Condition : Eq. H2-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 1.200E+02(C ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 0.000E+00 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 7.200E+00 Ayy: 2.905E+00 Cw: 3.173E+00 | | Szz: 5.635E+00 Syy: 1.210E+01 | | Izz: 3.232E+01 Iyy: 6.050E+01 Ix: 1.505E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 50.000 Fu: 65.000 | |-----------------------------------------------------------------------| | Actual Member Length: 240.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 1.00 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 16.87 N/A 18.06 T.B4.1(a)-4 | | N/A N/A N/A N/A N/A | | Flexure : Compact 6.94 9.15 24.08 T.B4.1(b)-10 | | Compact 16.87 20.23 24.81 T.B4.1(b)-14 | STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 4.50E+02 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 4.88E+02 0.000 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 1.20E+02 1.27E+02 0.947 Eq. E3-1 3 0.00 | | Min Buck 1.20E+02 2.24E+02 0.535 Eq. E3-1 3 0.00 | | Flexural | | Tor Buck 1.20E+02 2.21E+02 0.542 Eq. E4-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.00E+01 133.50 1.41E+01 1.61E+01 1.41E+02 | | Min Buck 1.00E+01 97.57 2.49E+01 3.01E+01 2.49E+02 | | Flexural Ag Fcr Pn | | Tor Buck 0.00E+00 2.46E+01 2.46E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 1.94E+02 0.000 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 7.84E+01 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 7.20E+00 1.00 1.20 6.94 2.16E+02 | | Local-Y 2.90E+00 1.00 1.20 16.87 8.71E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 4.06E+02 0.000 Eq. F9-1 3 0.00 | | Minor 0.00E+00 8.30E+02 0.000 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 4.51E+02 0.00E+00 | | Minor 9.23E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 3.06E+03 0.000 Eq. F9-4 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 3.40E+03 0.00E+00 1.00 0.00 0.00 240.00 | STAAD SPACE -- PAGE NO. 8 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.947 Eq. H2-1 3 0.00 | | Flexure Tens 0.000 Eq. H1-1b 3 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 1.20E+01 | | 7.20E+01 6.86E+01 1.27E+01 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Tens 4.06E+02 0.00E+00 4.50E+02 | | 8.30E+02 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| 58. LOAD LIST 4 59. PARAMETER 2 60. CODE AISC UNIFIED 2010 61. FYLD 50 ALL 62. FU 65 ALL 63. METHOD ASD 64. TRACK 2 ALL 65. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 9 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 T W14X68 (AISC SECTIONS) PASS Sec. E1 0.949 4 80.00 C 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 133.504 L/C : 4 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.949(PASS) | | Loc : 0.00 Condition : Sec. E1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 8.000E+01(C ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 0.000E+00 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 7.200E+00 Ayy: 2.905E+00 Cw: 3.173E+00 | | Szz: 5.635E+00 Syy: 1.210E+01 | | Izz: 3.232E+01 Iyy: 6.050E+01 Ix: 1.505E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 50.000 Fu: 65.000 | |-----------------------------------------------------------------------| | Actual Member Length: 240.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 1.00 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 16.87 N/A 18.06 T.B4.1(a)-4 | | N/A N/A N/A N/A N/A | | Flexure : Compact 6.94 9.15 24.08 T.B4.1(b)-10 | | Compact 16.87 20.23 24.81 T.B4.1(b)-14 | STAAD SPACE -- PAGE NO. 10 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 2.99E+02 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 3.25E+02 0.000 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 8.00E+01 8.43E+01 0.949 Eq. E3-1 4 0.00 | | Min Buck 8.00E+01 1.49E+02 0.536 Eq. E3-1 4 0.00 | | Flexural | | Tor Buck 8.00E+01 1.47E+02 0.544 Eq. E4-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.00E+01 133.50 1.41E+01 1.61E+01 1.41E+02 | | Min Buck 1.00E+01 97.57 2.49E+01 3.01E+01 2.49E+02 | | Flexural Ag Fcr Pn | | Tor Buck 0.00E+00 2.46E+01 2.46E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 1.29E+02 0.000 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 5.22E+01 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 7.20E+00 1.00 1.20 6.94 2.16E+02 | | Local-Y 2.90E+00 1.00 1.20 16.87 8.71E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 2.70E+02 0.000 Eq. F9-1 4 0.00 | | Minor 0.00E+00 5.52E+02 0.000 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 4.51E+02 0.00E+00 | | Minor 9.23E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 2.03E+03 0.000 Eq. F9-4 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 3.40E+03 0.00E+00 1.00 0.00 0.00 240.00 | STAAD SPACE -- PAGE NO. 11 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.949 Eq. H2-1 4 0.00 | | Flexure Tens 0.000 Eq. H1-1b 4 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 8.00E+00 | | 4.79E+01 4.57E+01 8.43E+00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Tens 2.70E+02 0.00E+00 2.99E+02 | | 5.52E+02 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------|