V. AISC 360-10 W D.1
Verify the tensile strength a wide flange section per the LRFD and ASD methods of the AISD 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 D.1, pp. D-2 - D-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
Details
From reference (2):
Select an 8-in. W-shape, ASTM A992, to carry a dead load of 30 kips and a live load of 90 kips in tension. The member is 25 ft long. Verify the member strength by both LRFD and ASD with the bolted end connection shown [in the reference]. Verify that the member satisfies the recommended slenderness limit. Assume that connection limit states do not govern.
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| Tensile yielding ϕtPn (kips) [LRFD] | 277 | 277 | none | |
| Tensile rupture ϕtPn (kips) [LRFD] | 211 | 211 | none | |
| Tensile yielding Pn/Ωt (kips) [ASD] | 184 | 184 | none | |
| Tensile rupture Pn/Ωt (kips) [ASD] | 141 | 141 | none | |
| Slenderness ratio | 238 | 238.212 | 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 W D.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 21-Jan-20
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 25 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 W8X21
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
JOINT LOAD
2 FX 30
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
JOINT LOAD
2 FX 90
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
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
FU 9360 ALL
FYLD 7200 ALL
METHOD LRFD
TMAIN 300 ALL
NSF 0.773 ALL
SLF 0.908 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
FU 9360 ALL
FYLD 7200 ALL
METHOD ASD
TMAIN 300 ALL
NSF 0.773 ALL
SLF 0.908 ALL
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 W8X21 (AISC SECTIONS) PASS Eq. H1-1a 0.854 3 180.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 238.212 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.854(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 1.800E+02(T ) 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: 4.216E+00 Ayy: 2.070E+00 Cw: 1.517E+02 | | Szz: 1.819E+01 Syy: 3.708E+00 | | Izz: 7.530E+01 Iyy: 9.770E+00 Ix: 2.820E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 25.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.77 SLF: 0.91 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 6.59 N/A 13.49 T.B4.1(a)-1 | | Non-Slender 27.52 N/A 35.88 T.B4.1(a)-5 | | Flexure : Compact 6.59 9.15 24.08 T.B4.1(b)-10 | | Compact 27.52 90.55 137.27 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 7 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 1.80E+02 2.77E+02 0.649 Eq. D2-1 3 0.00 | | Rupture 1.80E+02 2.11E+02 0.854 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 1.62E+02 0.000 Eq. E3-1 3 0.00 | | Min Buck 0.00E+00 2.45E+01 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 4.28E-02 85.81 4.20E+03 5.60E+03 1.80E+02 | | Min Buck 4.28E-02 238.21 6.37E+02 7.26E+02 2.72E+01 | | Flexural Ag Fcr Pn | | Tor Buck 4.28E-02 4.41E+03 1.89E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 1.14E+02 0.000 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 6.21E+01 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.93E-02 1.00 1.20 6.59 1.26E+02 | | Local-Y 1.44E-02 1.00 0.00 27.52 6.21E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 7.65E+01 0.000 Eq. F2-1 3 0.00 | | Minor 0.00E+00 2.13E+01 0.000 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 8.50E+01 0.00E+00 | | Minor 2.37E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 2.52E+01 0.000 Eq. F2-3 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 2.80E+01 0.00E+00 1.00 4.45 14.75 25.00 | STAAD SPACE -- PAGE NO. 8 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 0.000 Eq. H1-1b 3 0.00 | | Flexure Tens 0.854 Eq. H1-1a 3 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 2.52E+01 0.00E+00 2.45E+01 | | 2.13E+01 0.00E+00 0.00E+00 | | Flexure Tens 2.52E+01 0.00E+00 2.11E+02 | | 2.13E+01 0.00E+00 1.80E+02 | |-----------------------------------------------------------------------| 50. LOAD LIST 4 51. PARAMETER 2 52. CODE AISC UNIFIED 2010 53. FU 9360 ALL 54. FYLD 7200 ALL 55. METHOD ASD 56. TMAIN 300 ALL 57. NSF 0.773 ALL 58. SLF 0.908 ALL 59. TRACK 2 ALL 60. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 9 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 W8X21 (AISC SECTIONS) PASS Eq. H1-1a 0.854 4 120.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 238.212 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.854(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 1.200E+02(T ) 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: 4.216E+00 Ayy: 2.070E+00 Cw: 1.517E+02 | | Szz: 1.819E+01 Syy: 3.708E+00 | | Izz: 7.530E+01 Iyy: 9.770E+00 Ix: 2.820E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 25.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.77 SLF: 0.91 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 6.59 N/A 13.49 T.B4.1(a)-1 | | Non-Slender 27.52 N/A 35.88 T.B4.1(a)-5 | | Flexure : Compact 6.59 9.15 24.08 T.B4.1(b)-10 | | Compact 27.52 90.55 137.27 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 10 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 1.20E+02 1.84E+02 0.651 Eq. D2-1 4 0.00 | | Rupture 1.20E+02 1.41E+02 0.854 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 1.08E+02 0.000 Eq. E3-1 4 0.00 | | Min Buck 0.00E+00 1.63E+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 4.28E-02 85.81 4.20E+03 5.60E+03 1.80E+02 | | Min Buck 4.28E-02 238.21 6.37E+02 7.26E+02 2.72E+01 | | Flexural Ag Fcr Pn | | Tor Buck 4.28E-02 4.41E+03 1.89E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 7.57E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 4.14E+01 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.93E-02 1.00 1.20 6.59 1.26E+02 | | Local-Y 1.44E-02 1.00 0.00 27.52 6.21E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 5.09E+01 0.000 Eq. F2-1 4 0.00 | | Minor 0.00E+00 1.42E+01 0.000 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 8.50E+01 0.00E+00 | | Minor 2.37E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.68E+01 0.000 Eq. F2-3 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 2.80E+01 0.00E+00 1.00 4.45 14.75 25.00 | STAAD SPACE -- PAGE NO. 11 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 0.000 Eq. H1-1b 4 0.00 | | Flexure Tens 0.854 Eq. H1-1a 4 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 1.68E+01 0.00E+00 1.63E+01 | | 1.42E+01 0.00E+00 0.00E+00 | | Flexure Tens 1.68E+01 0.00E+00 1.41E+02 | | 1.42E+01 0.00E+00 1.20E+02 | |-----------------------------------------------------------------------|