V. AISC 360-10 I Minor Axis Bending F.5
Verify the minor axis bending capacity of an I-shaped flexural member under minor axis bending per the AISC 360-10 code.
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 F.5, pp. F28-F29
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 W-shape beam loaded in its minor axis with a simple span of 15 ft. The loads are a total uniform dead load of 0.667 kip/ft and a uniform live load of 2 kip/ft. Limit the live load deflection to L/240. The beam is braced at the ends only.
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| ϕbMn (ft·k) [LRFD] | 122 | 122 | none | |
| Mn/Ωb (ft·k) [ASD] | 81.4 | 81.1 | 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 I Minor Axis Bending F.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 15-Feb-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 15 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 W12X58
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
2 FIXED BUT FX MY
1 FIXED BUT MY
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
MEMBER LOAD
1 UNI GZ -0.667
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
MEMBER LOAD
1 UNI GZ -2
LOAD COMB 3 COMBINATION LOAD CASE 3
1 1.2 2 1.6
LOAD COMB 4 COMBINATION LOAD CASE 4
1 1.0 2 1.0
PERFORM ANALYSIS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
FU 9360 ALL
FYLD 7200 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
FU 9360 ALL
FYLD 7200 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 FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 ST W12X58 (AISC SECTIONS) PASS Eq. H1-1b 0.923 3 0.00 112.51 0.00 7.50 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 71.747 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 7.50 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.923(PASS) | | Loc : 7.50 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 1.125E+02 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.280E+01 Ayy: 4.392E+00 Cw: 3.575E+03 | | Szz: 7.787E+01 Syy: 2.140E+01 | | Izz: 4.750E+02 Iyy: 1.070E+02 Ix: 2.100E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 15.000 | | 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 7.81 N/A 13.49 T.B4.1(a)-1 | | Non-Slender 27.00 N/A 35.88 T.B4.1(a)-5 | | Flexure : Compact 7.81 9.15 24.08 T.B4.1(b)-10 | | Compact 27.00 90.55 137.27 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 4 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 7.65E+02 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 8.29E+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 7.03E+02 0.000 Eq. E3-1 3 0.00 | | Min Buck 0.00E+00 5.25E+02 0.000 Eq. E3-1 3 0.00 | | Flexural | | Tor Buck 0.00E+00 6.13E+02 0.000 Eq. E4-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.18E-01 34.05 6.61E+03 3.55E+04 7.81E+02 | | Min Buck 1.18E-01 71.75 4.94E+03 8.01E+03 5.83E+02 | | Flexural Ag Fcr Pn | | Tor Buck 1.18E-01 5.77E+03 6.81E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -3.00E+01 3.46E+02 0.087 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 1.32E+02 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 8.89E-02 1.00 1.20 7.81 3.84E+02 | | Local-Y 3.05E-02 1.00 0.00 27.00 1.32E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 3.24E+02 0.000 Eq. F2-1 3 0.00 | | Minor 1.13E+02 1.22E+02 0.923 Eq. F6-1 3 7.50 | | Intermediate Mn My | | Major 3.60E+02 0.00E+00 | | Minor 1.35E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 2.89E+02 0.000 Eq. F2-2 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 3.21E+02 0.00E+00 1.00 8.86 29.98 15.00 | STAAD SPACE -- PAGE NO. 5 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.923 Eq. H1-1b 3 7.50 | | Flexure Tens 0.923 Eq. H1-1b 3 7.50 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 2.89E+02 0.00E+00 5.25E+02 | | 1.22E+02 1.13E+02 0.00E+00 | | Flexure Tens 2.89E+02 0.00E+00 7.65E+02 | | 1.22E+02 1.13E+02 0.00E+00 | |-----------------------------------------------------------------------| 47. LOAD LIST 4 48. PARAMETER 2 49. CODE AISC UNIFIED 2010 50. FU 9360 ALL 51. FYLD 7200 ALL 52. METHOD ASD 53. TRACK 2 ALL 54. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 6 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 ST W12X58 (AISC SECTIONS) PASS Eq. H1-1b 0.925 4 0.00 75.01 0.00 7.50 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 71.747 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 7.50 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.925(PASS) | | Loc : 7.50 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 7.501E+01 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.280E+01 Ayy: 4.392E+00 Cw: 3.575E+03 | | Szz: 7.787E+01 Syy: 2.140E+01 | | Izz: 4.750E+02 Iyy: 1.070E+02 Ix: 2.100E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 15.000 | | 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 7.81 N/A 13.49 T.B4.1(a)-1 | | Non-Slender 27.00 N/A 35.88 T.B4.1(a)-5 | | Flexure : Compact 7.81 9.15 24.08 T.B4.1(b)-10 | | Compact 27.00 90.55 137.27 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 5.09E+02 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 5.52E+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 4.68E+02 0.000 Eq. E3-1 4 0.00 | | Min Buck 0.00E+00 3.49E+02 0.000 Eq. E3-1 4 0.00 | | Flexural | | Tor Buck 0.00E+00 4.08E+02 0.000 Eq. E4-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.18E-01 34.05 6.61E+03 3.55E+04 7.81E+02 | | Min Buck 1.18E-01 71.75 4.94E+03 8.01E+03 5.83E+02 | | Flexural Ag Fcr Pn | | Tor Buck 1.18E-01 5.77E+03 6.81E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -2.00E+01 2.30E+02 0.087 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 8.78E+01 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 8.89E-02 1.00 1.20 7.81 3.84E+02 | | Local-Y 3.05E-02 1.00 0.00 27.00 1.32E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 2.16E+02 0.000 Eq. F2-1 4 0.00 | | Minor 7.50E+01 8.11E+01 0.925 Eq. F6-1 4 7.50 | | Intermediate Mn My | | Major 3.60E+02 0.00E+00 | | Minor 1.35E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.92E+02 0.000 Eq. F2-2 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 3.21E+02 0.00E+00 1.00 8.86 29.98 15.00 | STAAD SPACE -- PAGE NO. 8 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.925 Eq. H1-1b 4 7.50 | | Flexure Tens 0.925 Eq. H1-1b 4 7.50 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 1.92E+02 0.00E+00 3.49E+02 | | 8.11E+01 7.50E+01 0.00E+00 | | Flexure Tens 1.92E+02 0.00E+00 5.09E+02 | | 8.11E+01 7.50E+01 0.00E+00 | |-----------------------------------------------------------------------|