V. AISC 360-05 W E.1C
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.1c, p.E-8
Details
From reference (2):
Calculate the available strength of a W14×132 column with unbraced lengths of 30 ft in both axes. The material properties and loads are as given in Example E.1a.
From Example E.1a (also from Reference (1), p.E-4):
…an ASTM A992 (Fy = 50 ksi) W-shape column to carry an axial dead load of 140 kips and live load of 420 kips.
Validation
Refer to reference.
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
ϕcPn (kips) [LRFD] | 892 | 893 | negligible | |
Pn/Ωc (kips) [ASD] | 598 | 594 | negligible | |
Slenderness ratio | 95.7 | 95.792 | 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 W E.1C.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 30 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 W14X132
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 PINNED
2 FIXED BUT FY MX MZ
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
JOINT LOAD
2 FY -140
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
JOINT LOAD
2 FY -420
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 2005
METHOD LRFD
FYLD 7200 ALL
FU 9360 ALL
KX 1 ALL
KY 1 ALL
METHOD LRFD
PROFILE W14 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FYLD 7200 ALL
FU 9360 ALL
KX 1 ALL
KY 1 ALL
METHOD ASD
PROFILE W14 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD.Pro Output
STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a
********************************************
ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
1 ST W14X132 (AISC SECTIONS)
PASS Eq. H1-1a 0.941 3
840.00 C 0.00 0.00 0.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 95.792 L/C : 3 |
| Allowable Slenderness Ratio : 200.000 LOC : 0.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 3 Ratio : 0.941(PASS) |
| Loc : 0.00 Condition : Eq. H1-1a |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 8.400E+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: 3.028E+01 Ayy: 9.481E+00 Cw: 2.560E+04 |
| Szz: 2.082E+02 Syy: 7.456E+01 |
| Izz: 1.530E+03 Iyy: 5.480E+02 Ix: 1.230E+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: 1.00 CSP: 12.00 |
|-----------------------------------------------------------------------|
| SECTION CLASS UNSTIFFENED / λ λp λr CASE |
| STIFFENED |
| Compression : Non-Slender 7.14 N/A 13.49 T.B4.1-3 |
| Non-Slender 17.74 N/A 35.88 T.B4.1-10 |
| Flexure : Compact 7.14 9.15 24.08 T.B4.1-1 |
| Compact 17.74 90.55 137.27 T.B4.1-9 |
STAAD SPACE -- PAGE NO. 7
STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a
********************************************
ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Yield 0.00E+00 1.75E+03 0.000 Eq. D2-1 3 0.00 |
| Rupture 0.00E+00 1.89E+03 0.000 Eq. D2-2 3 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 8.40E+02 1.37E+03 0.612 Sec. E1 3 0.00 |
| Min Buck 8.40E+02 8.93E+02 0.941 Eq. E3-1 3 0.00 |
| Flexural |
| Tor Buck 8.40E+02 1.39E+03 0.602 Eq. E4-1 3 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 2.69E-01 57.33 5.66E+03 1.25E+04 1.53E+03 |
| Min Buck 2.69E-01 95.79 3.68E+03 4.49E+03 9.92E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 2.69E-01 5.75E+03 1.55E+03 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 8.18E+02 0.000 Eq. G2-1 3 0.00 |
| Local-Y 0.00E+00 2.84E+02 0.000 Eq. G2-1 3 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 2.10E-01 1.00 1.20 7.14 9.08E+02 |
| Local-Y 6.58E-02 1.00 0.00 17.74 2.84E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 8.78E+02 0.000 Eq. F2-1 3 0.00 |
| Minor 0.00E+00 4.24E+02 0.000 Eq. F6-1 3 0.00 |
| Intermediate Mn My |
| Major 9.75E+02 0.00E+00 |
| Minor 4.71E+02 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 7.48E+02 0.000 Eq. F2-2 3 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 8.31E+02 0.00E+00 1.00 13.27 56.15 30.00 |
STAAD SPACE -- PAGE NO. 8
STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a
********************************************
ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.941 Eq. H1-1a 3 0.00 |
| Flexure Tens 0.000 Eq. H1-1b 3 0.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 7.48E+02 -0.00E+00 8.93E+02 |
| 4.24E+02 0.00E+00 8.40E+02 |
| Flexure Tens 7.48E+02 -0.00E+00 1.75E+03 |
| 4.24E+02 0.00E+00 0.00E+00 |
|-----------------------------------------------------------------------|
52. LOAD LIST 4
53. PARAMETER 2
54. CODE AISC UNIFIED 2005
55. FYLD 7200 ALL
56. FU 9360 ALL
57. KX 1 ALL
58. KY 1 ALL
59. METHOD ASD
60. PROFILE W14 ALL
61. TRACK 2 ALL
62. CHECK CODE ALL
STEEL DESIGN
STAAD SPACE -- PAGE NO. 9
STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a
********************************************
ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
1 ST W14X132 (AISC SECTIONS)
PASS Eq. H1-1a 0.943 4
560.00 C 0.00 0.00 0.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 95.792 L/C : 4 |
| Allowable Slenderness Ratio : 200.000 LOC : 0.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 4 Ratio : 0.943(PASS) |
| Loc : 0.00 Condition : Eq. H1-1a |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 5.600E+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: 3.028E+01 Ayy: 9.481E+00 Cw: 2.560E+04 |
| Szz: 2.082E+02 Syy: 7.456E+01 |
| Izz: 1.530E+03 Iyy: 5.480E+02 Ix: 1.230E+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: 1.00 CSP: 12.00 |
|-----------------------------------------------------------------------|
| SECTION CLASS UNSTIFFENED / λ λp λr CASE |
| STIFFENED |
| Compression : Non-Slender 7.14 N/A 13.49 T.B4.1-3 |
| Non-Slender 17.74 N/A 35.88 T.B4.1-10 |
| Flexure : Compact 7.14 9.15 24.08 T.B4.1-1 |
| Compact 17.74 90.55 137.27 T.B4.1-9 |
STAAD SPACE -- PAGE NO. 10
STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a
********************************************
ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Yield 0.00E+00 1.16E+03 0.000 Eq. D2-1 4 0.00 |
| Rupture 0.00E+00 1.26E+03 0.000 Eq. D2-2 4 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 5.60E+02 9.14E+02 0.613 Sec. E1 4 0.00 |
| Min Buck 5.60E+02 5.94E+02 0.943 Eq. E3-1 4 0.00 |
| Flexural |
| Tor Buck 5.60E+02 9.28E+02 0.603 Eq. E4-1 4 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 2.69E-01 57.33 5.66E+03 1.25E+04 1.53E+03 |
| Min Buck 2.69E-01 95.79 3.68E+03 4.49E+03 9.92E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 2.69E-01 5.75E+03 1.55E+03 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 5.44E+02 0.000 Eq. G2-1 4 0.00 |
| Local-Y 0.00E+00 1.90E+02 0.000 Eq. G2-1 4 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 2.10E-01 1.00 1.20 7.14 9.08E+02 |
| Local-Y 6.58E-02 1.00 0.00 17.74 2.84E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 5.84E+02 0.000 Eq. F2-1 4 0.00 |
| Minor 0.00E+00 2.82E+02 0.000 Eq. F6-1 4 0.00 |
| Intermediate Mn My |
| Major 9.75E+02 0.00E+00 |
| Minor 4.71E+02 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 4.98E+02 0.000 Eq. F2-2 4 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 8.31E+02 0.00E+00 1.00 13.27 56.15 30.00 |
STAAD SPACE -- PAGE NO. 11
STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a
********************************************
ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.943 Eq. H1-1a 4 0.00 |
| Flexure Tens 0.000 Eq. H1-1b 4 0.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 4.98E+02 -0.00E+00 5.94E+02 |
| 2.82E+02 0.00E+00 5.60E+02 |
| Flexure Tens 4.98E+02 -0.00E+00 1.16E+03 |
| 2.82E+02 0.00E+00 0.00E+00 |
|-----------------------------------------------------------------------|