V. AISC 360-05 W Flex Memb F.1-1
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 F.1-1, pp.F-6,-7
Details
From reference (2):
Select an ASTM A992 W-shape beam with a simple span of 35 feet. Limit the member to a maximum nominal depth of 18 in. Limit the live load deflection to L/360. The nominal loads are a uniform dead load of 0.45 kip/ft and a uniform live load of 0.75 kip/ft. Assume the beam is continuously braced.
Validation
Refer to reference.
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
ϕbMn (ft·k) [LRFD] | 379 | 379 | none | |
Mn/Ωb (ft·k) [ASD] | 252 | 252 | none |
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 Flex Memb F.1-1.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 06-Feb-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 35 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
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 ST W18X50
CONSTANTS
MATERIAL STEEL_50_KSI ALL
SUPPORTS
2 FIXED BUT FX MZ
1 FIXED BUT MZ
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
MEMBER LOAD
1 UNI GY -0.45
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
MEMBER LOAD
1 UNI GY -0.75
LOAD COMB 3 COMBINATION LOAD CASE 3
1 1.2 2 1.6
LOAD COMB 4 COMBINATION LOAD CASE 4
1 1.0 2 1.0
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FU 9360 ALL
FYLD 7200 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FU 9360 ALL
FYLD 7200 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 W18X50 (AISC SECTIONS)
FAIL Eq. H1-1b 3.213 3
0.00 0.00 -266.44 17.50
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 254.294 L/C : 3 |
| Allowable Slenderness Ratio : 300.000 LOC : 17.50 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 3 Ratio : 3.213(FAIL) |
| Loc : 17.50 Condition : Eq. H1-1b |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: 0.000E+00 Mz: -2.664E+02 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 8.550E+00 Ayy: 6.390E+00 Cw: 3.046E+03 |
| Szz: 8.889E+01 Syy: 1.069E+01 |
| Izz: 8.000E+02 Iyy: 4.010E+01 Ix: 1.240E+00 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 7199.999 Fu: 9359.999 |
|-----------------------------------------------------------------------|
| Actual Member Length: 35.000 |
| 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 6.58 N/A 13.49 T.B4.1-3 |
| Slender 45.23 N/A 35.88 T.B4.1-10 |
| Flexure : Compact 6.58 9.15 24.08 T.B4.1-1 |
| Compact 45.23 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 6.61E+02 0.000 Eq. D2-1 3 0.00 |
| Rupture -0.00E+00 7.17E+02 0.000 Eq. D2-2 3 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 5.09E+02 0.000 Sec. E1 3 0.00 |
| Min Buck 0.00E+00 5.14E+01 0.000 Eq. E7-1 3 0.00 |
| Flexural |
| Tor Buck 0.00E+00 2.59E+02 0.000 Eq. E7-1 3 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 9.88E-02 56.93 5.54E+03 1.27E+04 5.65E+02 |
| Min Buck 1.02E-01 254.29 5.59E+02 6.37E+02 5.71E+01 |
| Flexural Ag Fcr Pn |
| Tor Buck 1.02E-01 2.82E+03 2.88E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 2.31E+02 0.000 Eq. G2-1 3 0.00 |
| Local-Y 3.05E+01 1.92E+02 0.159 Eq. G2-1 3 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 5.94E-02 1.00 1.20 6.58 2.56E+02 |
| Local-Y 4.44E-02 1.00 0.00 45.23 1.92E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 2.66E+02 3.79E+02 0.703 Eq. F2-1 3 17.50 |
| Minor 0.00E+00 6.23E+01 0.000 Eq. F6-1 3 0.00 |
| Intermediate Mn My |
| Major 4.21E+02 0.00E+00 |
| Minor 6.92E+01 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 2.66E+02 8.29E+01 3.213 Eq. F2-3 3 17.50 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 9.21E+01 0.00E+00 1.00 5.83 16.97 35.00 |
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 3.213 Eq. H1-1b 3 17.50 |
| Flexure Tens 3.213 Eq. H1-1b 3 17.50 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 8.29E+01 2.66E+02 5.14E+01 |
| 6.23E+01 0.00E+00 0.00E+00 |
| Flexure Tens 8.29E+01 2.66E+02 6.61E+02 |
| 6.23E+01 0.00E+00 -0.00E+00 |
|-----------------------------------------------------------------------|
56. LOAD LIST 4
57. PARAMETER 2
58. CODE AISC UNIFIED 2005
59. METHOD ASD
60. FU 9360 ALL
61. FYLD 7200 ALL
62. TRACK 2 ALL
63. 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 W18X50 (AISC SECTIONS)
FAIL Eq. H1-1b 3.331 4
0.00 0.00 -183.75 17.50
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 254.294 L/C : 4 |
| Allowable Slenderness Ratio : 300.000 LOC : 17.50 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 4 Ratio : 3.331(FAIL) |
| Loc : 17.50 Condition : Eq. H1-1b |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: 0.000E+00 Mz: -1.838E+02 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 8.550E+00 Ayy: 6.390E+00 Cw: 3.046E+03 |
| Szz: 8.889E+01 Syy: 1.069E+01 |
| Izz: 8.000E+02 Iyy: 4.010E+01 Ix: 1.240E+00 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 7199.999 Fu: 9359.999 |
|-----------------------------------------------------------------------|
| Actual Member Length: 35.000 |
| 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 6.58 N/A 13.49 T.B4.1-3 |
| Slender 45.23 N/A 35.88 T.B4.1-10 |
| Flexure : Compact 6.58 9.15 24.08 T.B4.1-1 |
| Compact 45.23 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 4.40E+02 0.000 Eq. D2-1 4 0.00 |
| Rupture -0.00E+00 4.78E+02 0.000 Eq. D2-2 4 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 3.39E+02 0.000 Sec. E1 4 0.00 |
| Min Buck 0.00E+00 3.42E+01 0.000 Eq. E7-1 4 0.00 |
| Flexural |
| Tor Buck 0.00E+00 1.73E+02 0.000 Eq. E7-1 4 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 9.88E-02 56.93 5.54E+03 1.27E+04 5.65E+02 |
| Min Buck 1.02E-01 254.29 5.59E+02 6.37E+02 5.71E+01 |
| Flexural Ag Fcr Pn |
| Tor Buck 1.02E-01 2.82E+03 2.88E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 1.54E+02 0.000 Eq. G2-1 4 0.00 |
| Local-Y 2.10E+01 1.28E+02 0.164 Eq. G2-1 4 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 5.94E-02 1.00 1.20 6.58 2.56E+02 |
| Local-Y 4.44E-02 1.00 0.00 45.23 1.92E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 1.84E+02 2.52E+02 0.729 Eq. F2-1 4 17.50 |
| Minor 0.00E+00 4.14E+01 0.000 Eq. F6-1 4 0.00 |
| Intermediate Mn My |
| Major 4.21E+02 0.00E+00 |
| Minor 6.92E+01 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 1.84E+02 5.52E+01 3.331 Eq. F2-3 4 17.50 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 9.21E+01 0.00E+00 1.00 5.83 16.97 35.00 |
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 3.331 Eq. H1-1b 4 17.50 |
| Flexure Tens 3.331 Eq. H1-1b 4 17.50 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 5.52E+01 1.84E+02 3.42E+01 |
| 4.14E+01 0.00E+00 0.00E+00 |
| Flexure Tens 5.52E+01 1.84E+02 4.40E+02 |
| 4.14E+01 0.00E+00 -0.00E+00 |
|-----------------------------------------------------------------------|