V. AISC 360-10 W LTB Test F.1-3B
Reference
- 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 F.1-3B, pp. F14 - F15
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
Problem
From reference (2):
Verify the available flexural strength of the W18×50, ASTM A992 beam selected in Example F.1-1A with the beam braced at the ends and center point.
See example F.1-3B in reference (2) for calculations.
Comparison
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
ϕbMn (ft·kips) [LRFD] | 289 | 3,460 in-kips = 288.3 | negligible | |
Mn/Ωb (ft·kips) [ASD] | 191 | 2,300 in-kips = 191.7 | negligible |
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-10 F.1-3B.STD is typically installed with the program.
Tip: You can copy and paste this content directly into a .std file to run in STAAD.Pro.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 25-OCT-12
JOB NAME AISC 360-10 Validation
JOB CLIENT Bentley
JOB NO 7
END JOB INFORMATION
************************************************************
* AISC Example F.1-3
* W-SHAPE FLEXURAL MEMBERDESIGN IN STRONG-AXIS BENDING,
* BRACED AT MIDSPAN
* (1 analytical member with 2 unbraced segment)
************************************************************
INPUT WIDTH 79
UNIT INCHES KIP
JOINT COORDINATES
1 0 0 0; 2 420 0 0;
MEMBER INCIDENCES
1 1 2;
***************************************************
DEFINE MATERIAL START
ISOTROPIC STEEL
E 29000
POISSON 0.3
DENSITY 0.000283
ALPHA 1.2e-05
DAMP 0.03
TYPE STEEL
STRENGTH FY 36 FU 59 RY 1.5 RT 1.2
END DEFINE MATERIAL
***************************************************
MEMBER PROPERTY AMERICAN
1 TABLE ST W18X50
***************************************************
CONSTANTS
MATERIAL STEEL ALL
***************************************************
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
***************************************************
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
MEMBER LOAD
1 UNI GY -0.0375
**
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
MEMBER LOAD
1 UNI GY -0.0625
**
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
**
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
METHOD LRFD
*
* ASTM A992
FYLD 50 ALL
FU 65 ALL
*CB 0 ALL
CB 1.3 ALL
*
LX 210 ALL
UNT 210 ALL
UNB 210 ALL
*
MAIN 1 ALL
*
TRACK 2 ALL
CHECK CODE ALL
***************************************************
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
METHOD ASD
*
* ASTM A992
FYLD 50 ALL
FU 65 ALL
*CB 0 ALL
CB 1.3 ALL
*
LX 210 ALL
UNT 210 ALL
UNB 210 ALL
*
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD Output
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
1 ST W18X50 (AISC SECTIONS)
PASS Eq. H1-1b 0.924 3
0.00 0.00 -3197.25 210.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 254.294 L/C : 3 |
| Allowable Slenderness Ratio : 300.000 LOC : 210.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 3 Ratio : 0.924(PASS) |
| Loc : 210.00 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: -3.197E+03 |
|-----------------------------------------------------------------------|
| 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: 50.000 Fu: 65.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 420.000 |
| 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(a)-1 |
| Slender 45.23 N/A 35.88 T.B4.1(a)-5 |
| Flexure : Compact 6.58 9.15 24.08 T.B4.1(b)-10 |
| Compact 45.23 90.55 137.27 T.B4.1(b)-15 |
STAAD SPACE -- PAGE NO. 5
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (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 Eq. E7-1 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 3.92E+02 0.000 Eq. E7-1 3 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.42E+01 56.93 3.85E+01 8.83E+01 5.65E+02 |
| Min Buck 1.47E+01 254.29 3.88E+00 4.43E+00 5.71E+01 |
| Flexural Ag Fcr Pn |
| Tor Buck 1.47E+01 2.96E+01 4.36E+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 8.55E+00 1.00 1.20 6.58 2.56E+02 |
| Local-Y 6.39E+00 1.00 0.00 45.23 1.92E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 3.20E+03 4.54E+03 0.703 Eq. F2-1 3 210.00 |
| Minor 0.00E+00 7.47E+02 0.000 Eq. F6-1 3 0.00 |
| Intermediate Mn My |
| Major 5.05E+03 0.00E+00 |
| Minor 8.30E+02 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 3.20E+03 3.46E+03 0.924 Eq. F2-3 3 210.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 3.84E+03 0.00E+00 1.30 70.01 203.60 210.00 |
STAAD SPACE -- PAGE NO. 6
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.924 Eq. H1-1b 3 210.00 |
| Flexure Tens 0.924 Eq. H1-1b 3 210.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 3.46E+03 3.20E+03 5.14E+01 |
| 7.47E+02 0.00E+00 0.00E+00 |
| Flexure Tens 3.46E+03 3.20E+03 6.61E+02 |
| 7.47E+02 0.00E+00 -0.00E+00 |
|-----------------------------------------------------------------------|
77. ***************************************************
78. LOAD LIST 4
79. PARAMETER 2
80. CODE AISC UNIFIED 2010
81. METHOD ASD
82. *
83. * ASTM A992
84. FYLD 50 ALL
85. FU 65 ALL
86. *CB 0 ALL
87. CB 1.3 ALL
88. *
89. LX 210 ALL
90. UNT 210 ALL
91. UNB 210 ALL
92. *
93. TRACK 2 ALL
94. CHECK CODE ALL
STEEL DESIGN
STAAD SPACE -- PAGE NO. 7
STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
1 ST W18X50 (AISC SECTIONS)
PASS Eq. H1-1b 0.958 4
0.00 0.00 -2205.00 210.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 254.294 L/C : 4 |
| Allowable Slenderness Ratio : 300.000 LOC : 210.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 4 Ratio : 0.958(PASS) |
| Loc : 210.00 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: -2.205E+03 |
|-----------------------------------------------------------------------|
| 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: 50.000 Fu: 65.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 420.000 |
| 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(a)-1 |
| Slender 45.23 N/A 35.88 T.B4.1(a)-5 |
| Flexure : Compact 6.58 9.15 24.08 T.B4.1(b)-10 |
| Compact 45.23 90.55 137.27 T.B4.1(b)-15 |
STAAD SPACE -- PAGE NO. 8
STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (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 Eq. E7-1 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 2.61E+02 0.000 Eq. E7-1 4 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.42E+01 56.93 3.85E+01 8.83E+01 5.65E+02 |
| Min Buck 1.47E+01 254.29 3.88E+00 4.43E+00 5.71E+01 |
| Flexural Ag Fcr Pn |
| Tor Buck 1.47E+01 2.96E+01 4.36E+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 8.55E+00 1.00 1.20 6.58 2.56E+02 |
| Local-Y 6.39E+00 1.00 0.00 45.23 1.92E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 2.20E+03 3.02E+03 0.729 Eq. F2-1 4 210.00 |
| Minor 0.00E+00 4.97E+02 0.000 Eq. F6-1 4 0.00 |
| Intermediate Mn My |
| Major 5.05E+03 0.00E+00 |
| Minor 8.30E+02 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 2.20E+03 2.30E+03 0.958 Eq. F2-3 4 210.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 3.84E+03 0.00E+00 1.30 70.01 203.60 210.00 |
STAAD SPACE -- PAGE NO. 9
STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.958 Eq. H1-1b 4 210.00 |
| Flexure Tens 0.958 Eq. H1-1b 4 210.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 2.30E+03 2.20E+03 3.42E+01 |
| 4.97E+02 0.00E+00 0.00E+00 |
| Flexure Tens 2.30E+03 2.20E+03 4.40E+02 |
| 4.97E+02 0.00E+00 -0.00E+00 |
|-----------------------------------------------------------------------|