V. AISC 360-05 C Weak Axis Shear G.7
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 G.7, p.G-12
Details
From reference (2):
Verify the strength of a C9×20 ASTM A36 channel with end shears of 5 kips from dead load and 15 kips from live load in the weak direction.
Calculations
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| ϕvVn (kips) [LRFD] | 42.6 | 42.6 | none | |
| Vn/Ωv (kips) [ASD] | 28.3 | 28.3 | none |
Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2026\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-05 C Weak Axis Shear G.7.STD is typically installed with the program.
STAAD
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 23-Jun-20
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 4 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 C9X20
CONSTANTS
BETA 90 ALL
MATERIAL STEEL ALL
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
MEMBER LOAD
1 CON GY -10
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
MEMBER LOAD
1 CON GY -30
LOAD COMB 3 LRFD LOAD
1 1.2 2 1.6
LOAD COMB 4 ASD LOAD
1 1.0 2 1.0
PERFORM ANALYSIS
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
FYLD 36 ALL
FU 58 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FYLD 36 ALL
FU 58 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 C9X20 (AISC SECTIONS)
FAIL Eq. H1-1b 11.912 3
0.00 -720.00 0.00 24.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 74.912 L/C : 3 |
| Allowable Slenderness Ratio : 300.000 LOC : 24.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 3 Ratio : 11.912(FAIL) |
| Loc : 24.00 Condition : Eq. H1-1b |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: -3.000E+01 |
| Mx: 0.000E+00 My: -7.200E+02 Mz: 0.000E+00 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 2.189E+00 Ayy: 4.032E+00 Cw: 3.933E+01 |
| Szz: 1.353E+01 Syy: 1.166E+00 |
| Izz: 6.090E+01 Iyy: 2.410E+00 Ix: 4.270E-01 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 36.000 Fu: 58.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 48.000 |
| 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 6.42 N/A 15.89 T.B4.1-3 |
| Non-Slender 18.25 N/A 42.29 T.B4.1-10 |
| Flexure : Compact 6.42 10.79 28.38 T.B4.1-1 |
| Compact 18.25 106.72 161.78 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 -0.00E+00 1.90E+02 0.000 Eq. D2-1 3 0.00 |
| Rupture -0.00E+00 2.55E+02 0.000 Eq. D2-2 3 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 1.88E+02 0.000 Sec. E1 3 0.00 |
| Min Buck 0.00E+00 1.42E+02 0.000 Eq. E3-1 3 0.00 |
| Flexural |
| Tor Buck 0.00E+00 1.70E+02 0.000 Eq. E4-1 3 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 5.87E+00 14.90 3.56E+01 1.29E+03 2.09E+02 |
| Min Buck 5.87E+00 74.91 2.68E+01 5.10E+01 1.57E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 5.87E+00 3.22E+01 1.89E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z 3.00E+01 4.26E+01 0.705 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 2.19E+00 1.00 1.20 6.42 4.73E+01 |
| Local-Y 4.03E+00 1.00 5.00 18.25 8.71E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 5.48E+02 0.000 Eq. F2-1 3 0.00 |
| Minor -7.20E+02 6.04E+01 11.912 Eq. F6-1 3 24.00 |
| Intermediate Mn My |
| Major 6.08E+02 0.00E+00 |
| Minor 6.72E+01 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 5.21E+02 0.000 Eq. F2-2 3 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 5.78E+02 0.00E+00 1.00 32.01 174.62 48.00 |
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 11.912 Eq. H1-1b 3 24.00 |
| Flexure Tens 11.912 Eq. H1-1b 3 24.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 5.21E+02 -0.00E+00 1.42E+02 |
| 6.04E+01 -7.20E+02 0.00E+00 |
| Flexure Tens 5.21E+02 -0.00E+00 1.90E+02 |
| 6.04E+01 -7.20E+02 -0.00E+00 |
|-----------------------------------------------------------------------|
49. LOAD LIST 4
50. PARAMETER 2
51. CODE AISC UNIFIED 2005
52. METHOD ASD
53. FYLD 36 ALL
54. FU 58 ALL
55. TRACK 2 ALL
56. 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 C9X20 (AISC SECTIONS)
FAIL Eq. H1-1b 11.936 4
0.00 -480.00 0.00 24.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 74.912 L/C : 4 |
| Allowable Slenderness Ratio : 300.000 LOC : 24.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 4 Ratio : 11.936(FAIL) |
| Loc : 24.00 Condition : Eq. H1-1b |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: -2.000E+01 |
| Mx: 0.000E+00 My: -4.800E+02 Mz: 0.000E+00 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 2.189E+00 Ayy: 4.032E+00 Cw: 3.933E+01 |
| Szz: 1.353E+01 Syy: 1.166E+00 |
| Izz: 6.090E+01 Iyy: 2.410E+00 Ix: 4.270E-01 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 36.000 Fu: 58.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 48.000 |
| 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 6.42 N/A 15.89 T.B4.1-3 |
| Non-Slender 18.25 N/A 42.29 T.B4.1-10 |
| Flexure : Compact 6.42 10.79 28.38 T.B4.1-1 |
| Compact 18.25 106.72 161.78 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 -0.00E+00 1.27E+02 0.000 Eq. D2-1 4 0.00 |
| Rupture -0.00E+00 1.70E+02 0.000 Eq. D2-2 4 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 1.25E+02 0.000 Sec. E1 4 0.00 |
| Min Buck 0.00E+00 9.42E+01 0.000 Eq. E3-1 4 0.00 |
| Flexural |
| Tor Buck 0.00E+00 1.13E+02 0.000 Eq. E4-1 4 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 5.87E+00 14.90 3.56E+01 1.29E+03 2.09E+02 |
| Min Buck 5.87E+00 74.91 2.68E+01 5.10E+01 1.57E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 5.87E+00 3.22E+01 1.89E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z 2.00E+01 2.83E+01 0.706 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 2.19E+00 1.00 1.20 6.42 4.73E+01 |
| Local-Y 4.03E+00 1.00 5.00 18.25 8.71E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 3.64E+02 0.000 Eq. F2-1 4 0.00 |
| Minor -4.80E+02 4.02E+01 11.936 Eq. F6-1 4 24.00 |
| Intermediate Mn My |
| Major 6.08E+02 0.00E+00 |
| Minor 6.72E+01 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 3.46E+02 0.000 Eq. F2-2 4 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 5.78E+02 0.00E+00 1.00 32.01 174.62 48.00 |
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 11.936 Eq. H1-1b 4 24.00 |
| Flexure Tens 11.936 Eq. H1-1b 4 24.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 3.46E+02 -0.00E+00 9.42E+01 |
| 4.02E+01 -4.80E+02 0.00E+00 |
| Flexure Tens 3.46E+02 -0.00E+00 1.27E+02 |
| 4.02E+01 -4.80E+02 -0.00E+00 |
|-----------------------------------------------------------------------|