V. AISC 360-10 - H.1B
Reference
Design Examples, Version 14.0, American Institute of Steel Construction, 2011, page H-4.
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
Objective
From the reference:
Using AISC Manual tables to determine the available compressive and flexural strengths, determine if an ASTM A992 W14×99 has sufficient available strength to support the axial forces and moments listed as follows, obtained from a second-order analysis that includes P-δ effects. The unbraced length is 14 ft and the member has pinned ends. KLx = KLy = Lb = 14.0 ft.
Refer to the reference for calculations.
Comparison
| Result Type | Reference | STAAD.Pro | Difference | |
|---|---|---|---|---|
| LRFD | Interaction Ratio | 0.928 | 0.929 | none |
| ϕMnx (kip-ft) | 642 | 642 | none | |
| ϕMny (kip-ft) | 311 | 311 | none | |
| ϕcPn (kips) | 1,130 | 1,130 | none | |
| ASD | Interaction Ratio | 0.931 | 0.932 | negligible |
| Mnx/Ω (kip-ft) | 428 | 427 | negligible | |
| Mny/Ω (kip-ft) | 207 | 207 | none | |
| Compression (kips) | 750 | 750 | none | |
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-10 - H.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 19-Nov-12
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 14 0; 2 0 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 5184 FU 8352 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST W14X99
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
2 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
1 FY -400 MX 80 MZ 250
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
JOINT LOAD
1 FY -267 MX 53.3 MZ 167
PERFORM ANALYSIS
LOAD LIST 1
PARAMETER 1
CODE AISC UNIFIED 2010
METHOD LRFD
FYLD 7200 ALL
FU 9360 ALL
LZ 14 ALL
LY 14 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 2
PARAMETER 2
CODE AISC UNIFIED 2010
METHOD ASD
FYLD 7200 ALL
FU 9360 ALL
LZ 14 ALL
LY 14 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD 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 W14X99 (AISC SECTIONS) PASS Eq. H1-1a 0.929 1 400.00 C 80.00 250.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 45.200 L/C : 1 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 1 Ratio : 0.929(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 4.000E+02(C ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 8.000E+01 Mz: 2.500E+02 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 2.278E+01 Ayy: 6.887E+00 Cw: 1.810E+04 | | Szz: 1.563E+02 Syy: 5.507E+01 | | Izz: 1.110E+03 Iyy: 4.020E+02 Ix: 5.370E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 14.000 | | 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 9.36 N/A 13.49 T.B4.1(a)-1 | | Non-Slender 23.59 N/A 35.88 T.B4.1(a)-5 | | Flexure : Non-Compact 9.36 9.15 24.08 T.B4.1(b)-10 | | Compact 23.59 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 1.31E+03 0.000 Eq. D2-1 1 0.00 | | Rupture 0.00E+00 1.42E+03 0.000 Eq. D2-2 1 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 4.00E+02 1.24E+03 0.322 Eq. E3-1 1 0.00 | | Min Buck 4.00E+02 1.13E+03 0.355 Eq. E3-1 1 0.00 | | Flexural | | Tor Buck 4.00E+02 1.15E+03 0.348 Eq. E4-1 1 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 2.02E-01 27.20 6.82E+03 5.57E+04 1.38E+03 | | Min Buck 2.02E-01 45.20 6.20E+03 2.02E+04 1.25E+03 | | Flexural Ag Fcr Pn | | Tor Buck 2.02E-01 6.32E+03 1.28E+03 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 6.15E+02 0.000 Eq. G2-1 1 0.00 | | Local-Y 0.00E+00 2.07E+02 0.000 Eq. G2-1 1 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 1.58E-01 1.00 1.20 9.36 6.83E+02 | | Local-Y 4.78E-02 1.00 0.00 23.59 2.07E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -2.50E+02 6.49E+02 0.385 Eq. F2-1 1 0.00 | | Minor 8.00E+01 3.14E+02 0.255 Eq. F6-1 1 0.00 | | Intermediate Mn My | | Major 7.21E+02 0.00E+00 | | Minor 3.48E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -2.50E+02 6.42E+02 0.389 Eq. F2-2 1 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 7.14E+02 0.00E+00 1.00 13.13 45.47 14.00 | 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 BENDING-FLANGE LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -2.50E+02 6.45E+02 0.387 Eq. F3-1 1 0.00 | | Minor 8.00E+01 3.11E+02 0.257 Eq. F6-2 1 0.00 | | Intermediate Mn Fcr | | Major 7.17E+02 0.00E+00 | | Minor 3.46E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.929 Eq. H1-1a 1 0.00 | | Flexure Tens 0.646 Eq. H1-1b 1 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 6.42E+02 -2.50E+02 1.13E+03 | | 3.11E+02 8.00E+01 4.00E+02 | | Flexure Tens 6.42E+02 -2.50E+02 1.31E+03 | | 3.11E+02 8.00E+01 0.00E+00 | |-----------------------------------------------------------------------| 44. LOAD LIST 2 45. PARAMETER 2 46. CODE AISC UNIFIED 2010 47. METHOD ASD 48. FYLD 7200 ALL 49. FU 9360 ALL 50. LZ 14 ALL 51. LY 14 ALL 52. TRACK 2 ALL 53. 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 W14X99 (AISC SECTIONS) PASS Eq. H1-1a 0.932 2 267.00 C 53.30 167.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 45.200 L/C : 2 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 2 Ratio : 0.932(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 2.670E+02(C ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 5.330E+01 Mz: 1.670E+02 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 2.278E+01 Ayy: 6.887E+00 Cw: 1.810E+04 | | Szz: 1.563E+02 Syy: 5.507E+01 | | Izz: 1.110E+03 Iyy: 4.020E+02 Ix: 5.370E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 14.000 | | 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 9.36 N/A 13.49 T.B4.1(a)-1 | | Non-Slender 23.59 N/A 35.88 T.B4.1(a)-5 | | Flexure : Non-Compact 9.36 9.15 24.08 T.B4.1(b)-10 | | Compact 23.59 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 8.71E+02 0.000 Eq. D2-1 2 0.00 | | Rupture 0.00E+00 9.46E+02 0.000 Eq. D2-2 2 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 2.67E+02 8.25E+02 0.323 Eq. E3-1 2 0.00 | | Min Buck 2.67E+02 7.50E+02 0.356 Eq. E3-1 2 0.00 | | Flexural | | Tor Buck 2.67E+02 7.65E+02 0.349 Eq. E4-1 2 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 2.02E-01 27.20 6.82E+03 5.57E+04 1.38E+03 | | Min Buck 2.02E-01 45.20 6.20E+03 2.02E+04 1.25E+03 | | Flexural Ag Fcr Pn | | Tor Buck 2.02E-01 6.32E+03 1.28E+03 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 4.09E+02 0.000 Eq. G2-1 2 0.00 | | Local-Y 0.00E+00 1.38E+02 0.000 Eq. G2-1 2 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 1.58E-01 1.00 1.20 9.36 6.83E+02 | | Local-Y 4.78E-02 1.00 0.00 23.59 2.07E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -1.67E+02 4.32E+02 0.387 Eq. F2-1 2 0.00 | | Minor 5.33E+01 2.09E+02 0.256 Eq. F6-1 2 0.00 | | Intermediate Mn My | | Major 7.21E+02 0.00E+00 | | Minor 3.48E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -1.67E+02 4.27E+02 0.391 Eq. F2-2 2 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 7.14E+02 0.00E+00 1.00 13.13 45.47 14.00 | 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 BENDING-FLANGE LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -1.67E+02 4.29E+02 0.389 Eq. F3-1 2 0.00 | | Minor 5.33E+01 2.07E+02 0.257 Eq. F6-2 2 0.00 | | Intermediate Mn Fcr | | Major 7.17E+02 0.00E+00 | | Minor 3.46E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.932 Eq. H1-1a 2 0.00 | | Flexure Tens 0.648 Eq. H1-1b 2 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 4.27E+02 -1.67E+02 7.50E+02 | | 2.07E+02 5.33E+01 2.67E+02 | | Flexure Tens 4.27E+02 -1.67E+02 8.71E+02 | | 2.07E+02 5.33E+01 0.00E+00 | |-----------------------------------------------------------------------|