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.
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-10 - F.STD is typically installed with the program.
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 | |-----------------------------------------------------------------------|