V. AISC 360-05 WT E.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 E.7, pp. E-31 - E-33
Details
From reference (2):
Select a WT-shape compression member with a length of 20 ft to support a dead load of 20 kips and live load of 60 kips in axial compression. The ends are pinned.
Validation
Refer to reference.
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
ϕcPn (kips) [LRFD] | 128 | 127 | negligible | |
Pn/Ωc (kips) [ASD] | 85.0 | 84.3 | negligible |
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-05 WT E.7.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 22-Jan-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 0 20 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
ISOTROPIC STEEL_50_KSI
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 7200 FU 8928 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE T W14X68
CONSTANTS
MATERIAL STEEL_50_KSI ALL
SUPPORTS
1 PINNED
2 FIXED BUT FY MX MZ
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
JOINT LOAD
2 FY -20
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
JOINT LOAD
2 FY -60
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
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FYLD 50 ALL
FU 65 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FYLD 50 ALL
FU 65 ALL
METHOD ASD
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD.Pro 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 T W14X68 (AISC SECTIONS)
PASS Eq. H2-1 0.947 3
120.00 C 0.00 0.00 0.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 133.504 L/C : 3 |
| Allowable Slenderness Ratio : 200.000 LOC : 0.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 3 Ratio : 0.947(PASS) |
| Loc : 0.00 Condition : Eq. H2-1 |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 1.200E+02(C ) 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: 7.200E+00 Ayy: 2.905E+00 Cw: 3.173E+00 |
| Szz: 5.635E+00 Syy: 1.210E+01 |
| Izz: 3.232E+01 Iyy: 6.050E+01 Ix: 1.505E+00 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 50.000 Fu: 65.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 240.000 |
| 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 16.87 N/A 18.06 T.B4.1-8 |
| N/A N/A N/A N/A N/A |
| Flexure : Compact 6.94 9.15 24.08 T.B4.1-7 |
| Non-Compact 16.87 9.15 24.08 T.B4.1-7 |
STAAD SPACE -- PAGE NO. 7
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 4.50E+02 0.000 Eq. D2-1 3 0.00 |
| Rupture 0.00E+00 4.88E+02 0.000 Eq. D2-2 3 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 1.20E+02 1.27E+02 0.947 Sec. E1 3 0.00 |
| Min Buck 1.20E+02 2.24E+02 0.535 Eq. E3-1 3 0.00 |
| Flexural |
| Tor Buck 1.20E+02 2.21E+02 0.542 Eq. E4-1 3 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.00E+01 133.50 1.41E+01 1.61E+01 1.41E+02 |
| Min Buck 1.00E+01 97.57 2.49E+01 3.01E+01 2.49E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 0.00E+00 2.46E+01 2.46E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 1.94E+02 0.000 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 7.20E+00 1.00 1.20 6.94 2.16E+02 |
| Local-Y 2.90E+00 1.00 1.20 16.87 8.71E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 4.06E+02 0.000 Eq. F9-1 3 0.00 |
| Minor 0.00E+00 8.30E+02 0.000 Eq. F6-1 3 0.00 |
| Intermediate Mn My |
| Major 4.51E+02 0.00E+00 |
| Minor 9.23E+02 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 3.06E+03 0.000 Eq. F9-4 3 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 3.40E+03 0.00E+00 1.00 0.00 0.00 240.00 |
STAAD SPACE -- PAGE NO. 8
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 0.947 Eq. H2-1 3 0.00 |
| Flexure Tens 0.000 Eq. H1-1b 3 0.00 |
| Intermediate frbw / frbz / fra / |
| Fcbw Fcbz Fca |
| Flexure Comp 0.00E+00 0.00E+00 1.20E+01 |
| 7.20E+01 6.86E+01 1.27E+01 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Tens 4.06E+02 -0.00E+00 4.50E+02 |
| 8.30E+02 0.00E+00 0.00E+00 |
|-----------------------------------------------------------------------|
58. LOAD LIST 4
59. PARAMETER 2
60. CODE AISC UNIFIED 2005
61. FYLD 50 ALL
62. FU 65 ALL
63. METHOD ASD
64. TRACK 2 ALL
65. CHECK CODE ALL
STEEL DESIGN
STAAD SPACE -- PAGE NO. 9
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 T W14X68 (AISC SECTIONS)
PASS Sec. E1 0.949 4
80.00 C 0.00 0.00 0.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 133.504 L/C : 4 |
| Allowable Slenderness Ratio : 200.000 LOC : 0.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 4 Ratio : 0.949(PASS) |
| Loc : 0.00 Condition : Sec. E1 |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 8.000E+01(C ) 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: 7.200E+00 Ayy: 2.905E+00 Cw: 3.173E+00 |
| Szz: 5.635E+00 Syy: 1.210E+01 |
| Izz: 3.232E+01 Iyy: 6.050E+01 Ix: 1.505E+00 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 50.000 Fu: 65.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 240.000 |
| 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 16.87 N/A 18.06 T.B4.1-8 |
| N/A N/A N/A N/A N/A |
| Flexure : Compact 6.94 9.15 24.08 T.B4.1-7 |
| Non-Compact 16.87 9.15 24.08 T.B4.1-7 |
STAAD SPACE -- PAGE NO. 10
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 2.99E+02 0.000 Eq. D2-1 4 0.00 |
| Rupture 0.00E+00 3.25E+02 0.000 Eq. D2-2 4 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 8.00E+01 8.43E+01 0.949 Sec. E1 4 0.00 |
| Min Buck 8.00E+01 1.49E+02 0.536 Eq. E3-1 4 0.00 |
| Flexural |
| Tor Buck 8.00E+01 1.47E+02 0.544 Eq. E4-1 4 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.00E+01 133.50 1.41E+01 1.61E+01 1.41E+02 |
| Min Buck 1.00E+01 97.57 2.49E+01 3.01E+01 2.49E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 0.00E+00 2.46E+01 2.46E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 1.29E+02 0.000 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 7.20E+00 1.00 1.20 6.94 2.16E+02 |
| Local-Y 2.90E+00 1.00 1.20 16.87 8.71E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 2.70E+02 0.000 Eq. F9-1 4 0.00 |
| Minor 0.00E+00 5.52E+02 0.000 Eq. F6-1 4 0.00 |
| Intermediate Mn My |
| Major 4.51E+02 0.00E+00 |
| Minor 9.23E+02 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 2.03E+03 0.000 Eq. F9-4 4 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 3.40E+03 0.00E+00 1.00 0.00 0.00 240.00 |
STAAD SPACE -- PAGE NO. 11
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 0.949 Eq. H2-1 4 0.00 |
| Flexure Tens 0.000 Eq. H1-1b 4 0.00 |
| Intermediate frbw / frbz / fra / |
| Fcbw Fcbz Fca |
| Flexure Comp 0.00E+00 0.00E+00 8.00E+00 |
| 4.79E+01 4.57E+01 8.43E+00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Tens 2.70E+02 -0.00E+00 2.99E+02 |
| 5.52E+02 0.00E+00 0.00E+00 |
|-----------------------------------------------------------------------|