V. AISC 360-05 W Tens and Bending H3
References
- Steel Construction Manual, Version 13.0, American Institute of Steel Construction, 2005
- Design Examples, Version 13.0, American Institute of Steel Construction, 2005, Example H.3, pp.H-6
Details
From reference (2):
Select an ASTM A992 W-shape with a 14-in. nominal depth to carry nominal forces of 29 kips from dead load and 87 kips from live load in axial tension, as well as the following nominal moments:
MxD = 32.0 kip-ft MxL = 96.0 kip-ft MyD = 11.3 kip-ft MyL = 33.8 kip-ft The unbraced length is 30 ft and the ends are pinned. Assume the connections are made with no holes.
Calculations
Validation
Refer to reference.
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| Interaction ratio per H1-1b [LRFD] | 0.874 | 0.874 | negligible | |
| Interaction ratio per H1-1b [ASD] | 0.876 | 0.876 | negligible |
Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2026\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-05 W Tens and Bending H3.STD is typically installed with the program.
STAAD
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 22-May-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 30 0 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
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST W14X82
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
2 FIXED BUT FX MY MZ
1 PINNED
LOAD 1 LOADTYPE None TITLE FORCE
JOINT LOAD
2 FX 174
1 FX -174
LOAD 2 LOADTYPE None TITLE MOMENT MAJOR
MEMBER LOAD
1 UNI GY -1.70668
LOAD 3 LOADTYPE None TITLE MOMENT MINOR
MEMBER LOAD
1 UNI GZ 0.6009
UNIT INCHES KIP
LOAD 4 LOADTYPE None TITLE FORCE2
JOINT LOAD
1 FX 116
2 FX 116
LOAD 5 LOADTYPE None TITLE MOMENT MAJOR 2
MEMBER LOAD
1 UNI GY -0.0948
LOAD 6 LOADTYPE None TITLE MOMENT MINOR 2
MEMBER LOAD
1 UNI GZ 0.0334
UNIT FEET KIP
LOAD COMB 7 LRFD
1 1.0 2 1.0 3 1.0
LOAD COMB 8 ASD
4 1.0 5 1.0 6 1.0
PERFORM ANALYSIS
UNIT INCHES KIP
LOAD LIST 7
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FYLD 50 ALL
FU 65 ALL
CB 1.41 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 8
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FYLD 50 ALL
FU 65 ALL
CB 1.41 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
Output
STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
1 ST W14X82 (AISC SECTIONS)
PASS Eq. H1-1b 0.874 7
174.00 T -811.21 -2304.02 180.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 144.970 L/C : 7 |
| Allowable Slenderness Ratio : 300.000 LOC : 180.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 7 Ratio : 0.874(PASS) |
| Loc : 180.00 Condition : Eq. H1-1b |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 1.740E+02(T ) Fy: 0.000E+00 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: -8.112E+02 Mz: -2.304E+03 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 1.727E+01 Ayy: 7.293E+00 Cw: 6.688E+03 |
| Szz: 1.232E+02 Syy: 2.931E+01 |
| Izz: 8.810E+02 Iyy: 1.480E+02 Ix: 5.070E+00 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 50.000 Fu: 65.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 360.000 |
| 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 5.91 N/A 13.49 T.B4.1-3 |
| Non-Slender 22.35 N/A 35.88 T.B4.1-10 |
| Flexure : Compact 5.91 9.15 24.08 T.B4.1-1 |
| Compact 22.35 90.55 137.27 T.B4.1-9 |
STAAD SPACE -- PAGE NO. 4
STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Yield 1.74E+02 1.08E+03 0.161 Eq. D2-1 7 0.00 |
| Rupture 1.74E+02 1.17E+03 0.149 Eq. D2-2 7 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 8.34E+02 0.000 Sec. E1 7 0.00 |
| Min Buck 0.00E+00 2.58E+02 0.000 Eq. E3-1 7 0.00 |
| Flexural |
| Tor Buck 0.00E+00 7.99E+02 0.000 Eq. E4-1 7 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 2.40E+01 59.42 3.86E+01 8.11E+01 9.27E+02 |
| Min Buck 2.40E+01 144.97 1.19E+01 1.36E+01 2.87E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 2.40E+01 3.70E+01 8.87E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z 9.01E+00 4.66E+02 0.019 Eq. G2-1 7 0.00 |
| Local-Y 2.56E+01 2.19E+02 0.117 Eq. G2-1 7 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 1.73E+01 1.00 1.20 5.91 5.18E+02 |
| Local-Y 7.29E+00 1.00 0.00 22.35 2.19E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 2.30E+03 6.26E+03 0.368 Eq. F2-1 7 180.00 |
| Minor -8.11E+02 2.02E+03 0.402 Eq. F6-1 7 180.00 |
| Intermediate Mn My |
| Major 6.95E+03 0.00E+00 |
| Minor 2.24E+03 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 2.30E+03 5.89E+03 0.391 Eq. F2-2 7 180.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 6.54E+03 0.00E+00 1.41 105.26 396.11 360.00 |
STAAD SPACE -- PAGE NO. 5
STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.794 Eq. H1-1b 7 180.00 |
| Flexure Tens 0.874 Eq. H1-1b 7 180.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 5.89E+03 2.30E+03 2.58E+02 |
| 2.02E+03 -8.11E+02 0.00E+00 |
| Flexure Tens 5.89E+03 2.30E+03 1.08E+03 |
| 2.02E+03 -8.11E+02 1.74E+02 |
|-----------------------------------------------------------------------|
65. LOAD LIST 8
66. PARAMETER 2
67. CODE AISC UNIFIED 2005
68. METHOD ASD
69. FYLD 50 ALL
70. FU 65 ALL
71. CB 1.41 ALL
72. TRACK 2 ALL
73. CHECK CODE ALL
STEEL DESIGN
STAAD SPACE -- PAGE NO. 6
STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
1 ST W14X82 (AISC SECTIONS)
PASS Eq. H1-1b 0.876 8
116.00 T -541.08 -1535.76 180.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 144.970 L/C : 8 |
| Allowable Slenderness Ratio : 300.000 LOC : 180.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 8 Ratio : 0.876(PASS) |
| Loc : 180.00 Condition : Eq. H1-1b |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 1.160E+02(T ) Fy: 0.000E+00 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: -5.411E+02 Mz: -1.536E+03 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 1.727E+01 Ayy: 7.293E+00 Cw: 6.688E+03 |
| Szz: 1.232E+02 Syy: 2.931E+01 |
| Izz: 8.810E+02 Iyy: 1.480E+02 Ix: 5.070E+00 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 50.000 Fu: 65.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 360.000 |
| 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 5.91 N/A 13.49 T.B4.1-3 |
| Non-Slender 22.35 N/A 35.88 T.B4.1-10 |
| Flexure : Compact 5.91 9.15 24.08 T.B4.1-1 |
| Compact 22.35 90.55 137.27 T.B4.1-9 |
STAAD SPACE -- PAGE NO. 7
STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Yield 1.16E+02 7.19E+02 0.161 Eq. D2-1 8 0.00 |
| Rupture 1.16E+02 7.80E+02 0.149 Eq. D2-2 8 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 5.55E+02 0.000 Sec. E1 8 0.00 |
| Min Buck 0.00E+00 1.72E+02 0.000 Eq. E3-1 8 0.00 |
| Flexural |
| Tor Buck 0.00E+00 5.31E+02 0.000 Eq. E4-1 8 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 2.40E+01 59.42 3.86E+01 8.11E+01 9.27E+02 |
| Min Buck 2.40E+01 144.97 1.19E+01 1.36E+01 2.87E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 2.40E+01 3.70E+01 8.87E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z 6.01E+00 3.10E+02 0.019 Eq. G2-1 8 0.00 |
| Local-Y 1.71E+01 1.46E+02 0.117 Eq. G2-1 8 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 1.73E+01 1.00 1.20 5.91 5.18E+02 |
| Local-Y 7.29E+00 1.00 0.00 22.35 2.19E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 1.54E+03 4.16E+03 0.369 Eq. F2-1 8 180.00 |
| Minor -5.41E+02 1.34E+03 0.403 Eq. F6-1 8 180.00 |
| Intermediate Mn My |
| Major 6.95E+03 0.00E+00 |
| Minor 2.24E+03 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 1.54E+03 3.92E+03 0.392 Eq. F2-2 8 180.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 6.54E+03 0.00E+00 1.41 105.26 396.11 360.00 |
STAAD SPACE -- PAGE NO. 8
STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.795 Eq. H1-1b 8 180.00 |
| Flexure Tens 0.876 Eq. H1-1b 8 180.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 3.92E+03 1.54E+03 1.72E+02 |
| 1.34E+03 -5.41E+02 0.00E+00 |
| Flexure Tens 3.92E+03 1.54E+03 7.19E+02 |
| 1.34E+03 -5.41E+02 1.16E+02 |
|-----------------------------------------------------------------------|