V. AISC 360-10 WT D.3
Verify the tensile strength a WT 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.3, pp. D-8 - D-10
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):
A WT6×20, ASTM A992 member has a length of 30 ft and carries a dead load of 40 kips and a live load of 120 kips in tension. The end connection is fillet welded on each side for 16 in. Verify the member tensile strength by both LRFD and ASD. Assume that the gusset plate and the weld are satisfactory.
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| Tensile yielding ϕtPn (kips) [LRFD] | 263 | 263 | none | |
| Tensile rupture ϕtPn (kips) [LRFD] | 266 | 266 | none | |
| Tensile yielding Pn/Ωt (kips) [ASD] | 175 | 175 | none | |
| Tensile rupture Pn/Ωt (kips) [ASD] | 177 | 177 | none | |
| Slenderness ratio | 229 | 230.607 | 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 WT 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 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 T W12X40
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
JOINT LOAD
2 FX 40
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
JOINT LOAD
2 FX 120
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 1 ALL
SLF 0.932 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 1 ALL
SLF 0.932 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 T W12X40 (AISC SECTIONS) PASS Eq. H1-1a 0.912 3 240.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 230.607 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.912(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 2.400E+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: 4.125E+00 Ayy: 1.755E+00 Cw: 6.190E-01 | | Szz: 2.920E+00 Syy: 5.506E+00 | | Izz: 1.426E+01 Iyy: 2.205E+01 Ix: 4.530E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 30.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 0.93 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Slender 20.17 N/A 18.06 T.B4.1(a)-4 | | N/A N/A N/A N/A N/A | | Flexure : Compact 7.78 9.15 24.08 T.B4.1(b)-10 | | Compact 20.17 20.23 24.81 T.B4.1(b)-14 | 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 2.40E+02 2.63E+02 0.912 Eq. D2-1 3 0.00 | | Rupture 2.40E+02 2.66E+02 0.903 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 2.49E+01 0.000 Eq. E7-1 3 0.00 | | Min Buck 0.00E+00 3.84E+01 0.000 Eq. E7-1 3 0.00 | | Flexural | | Tor Buck 0.00E+00 3.82E+01 0.000 Eq. E7-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 4.06E-02 230.61 6.80E+02 7.75E+02 2.76E+01 | | Min Buck 4.06E-02 185.43 1.05E+03 1.20E+03 4.27E+01 | | Flexural Ag Fcr Pn | | Tor Buck 4.06E-02 1.04E+03 4.24E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 1.11E+02 0.000 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 4.74E+01 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.86E-02 1.00 1.20 7.78 1.24E+02 | | Local-Y 1.22E-02 1.00 1.20 20.17 5.27E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.75E+01 0.000 Eq. F9-1 3 0.00 | | Minor 0.00E+00 3.15E+01 0.000 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 1.95E+01 0.00E+00 | | Minor 3.50E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 4.84E+01 0.000 Eq. F9-4 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 5.37E+01 0.00E+00 1.00 0.00 0.00 30.00 | 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. H2-1 3 0.00 | | Flexure Tens 0.912 Eq. H1-1a 3 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 0.00E+00 | | 1.04E+04 9.89E+03 6.12E+02 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Tens 1.75E+01 0.00E+00 2.63E+02 | | 3.15E+01 0.00E+00 2.40E+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 1 ALL 58. SLF 0.932 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 T W12X40 (AISC SECTIONS) PASS Eq. H1-1a 0.914 4 160.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 230.607 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.914(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 1.600E+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: 4.125E+00 Ayy: 1.755E+00 Cw: 6.190E-01 | | Szz: 2.920E+00 Syy: 5.506E+00 | | Izz: 1.426E+01 Iyy: 2.205E+01 Ix: 4.530E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 30.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 0.93 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Slender 20.17 N/A 18.06 T.B4.1(a)-4 | | N/A N/A N/A N/A N/A | | Flexure : Compact 7.78 9.15 24.08 T.B4.1(b)-10 | | Compact 20.17 20.23 24.81 T.B4.1(b)-14 | 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 1.60E+02 1.75E+02 0.914 Eq. D2-1 4 0.00 | | Rupture 1.60E+02 1.77E+02 0.903 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 1.65E+01 0.000 Eq. E7-1 4 0.00 | | Min Buck 0.00E+00 2.56E+01 0.000 Eq. E7-1 4 0.00 | | Flexural | | Tor Buck 0.00E+00 2.54E+01 0.000 Eq. E7-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 4.06E-02 230.61 6.80E+02 7.75E+02 2.76E+01 | | Min Buck 4.06E-02 185.43 1.05E+03 1.20E+03 4.27E+01 | | Flexural Ag Fcr Pn | | Tor Buck 4.06E-02 1.04E+03 4.24E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 7.41E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 3.15E+01 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.86E-02 1.00 1.20 7.78 1.24E+02 | | Local-Y 1.22E-02 1.00 1.20 20.17 5.27E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.17E+01 0.000 Eq. F9-1 4 0.00 | | Minor 0.00E+00 2.10E+01 0.000 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 1.95E+01 0.00E+00 | | Minor 3.50E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 3.22E+01 0.000 Eq. F9-4 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 5.37E+01 0.00E+00 1.00 0.00 0.00 30.00 | 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. H2-1 4 0.00 | | Flexure Tens 0.914 Eq. H1-1a 4 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 0.00E+00 | | 6.90E+03 6.58E+03 4.07E+02 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Tens 1.17E+01 0.00E+00 1.75E+02 | | 2.10E+01 0.00E+00 1.60E+02 | |-----------------------------------------------------------------------|