V. AISC 360-10 Double L E.5
Reference
American Institute of Steel Construction. 2011. Design Examples, Version 14.0. AISC:Chicago, IL. Example E5, pp. E-26 - E-30.
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 the reference:
Verify the strength of a 2L 4×3-1/2×3/8 LLBB (3/8-in. separation) strut, ASTM A36, with a length of 8 ft and pinned ends carrying an axial dead load of 20 kips and live load of 60 kips.
Comparison
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
ϕcPn (kips) [LRFD] | 128 | 127 | negligible | |
Pn/Ωc (kips) [ASD] | 85.0 | 84.6 | negligible |
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\360-2010\AISC 360-10 - E.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 5-Dec-12
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 8 0; 2 0 0 0;
MEMBER INCIDENCES
1 1 2;
MEMBER PROPERTY AMERICAN
1 TABLE LD L40356 SP 0.0625
UNIT INCHES KIP
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 29000
POISSON 0.3
ISOTROPIC STEEL
E 29000
POISSON 0.3
DENSITY 0.000283
ALPHA 6e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 36 FU 58 RY 1.5 RT 1.2
END DEFINE MATERIAL
UNIT FEET KIP
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
2 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
1 FY -20
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
JOINT LOAD
1 FY -60
LOAD COMB 3 ULTIMATE LOADS
1 1.2 2 1.6
LOAD COMB 4 SERVICE LOADS
1 1.0 2 1.0
PERFORM ANALYSIS
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
METHOD LRFD
FYLD 36 ALL
FU 58 ALL
LX 56 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
METHOD ASD
FYLD 36 ALL
FU 58 ALL
LX 56 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 LD L40356 (AISC SECTIONS) PASS Eq. H2-1 0.943 3 120.00 C 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 76.914 L/C : 3 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.943(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: 2.625E+00 Ayy: 1.500E+00 Cw: 0.000E+00 | | Szz: 0.000E+00 Syy: 0.000E+00 | | Izz: 8.350E+00 Iyy: 1.541E+01 Ix: 2.512E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 36.000 Fu: 58.000 | |-----------------------------------------------------------------------| | Actual Member Length: 96.000 | | 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 10.67 N/A 12.77 T.B4.1(a)-3 | | N/A N/A N/A N/A N/A | | Flexure : Compact 9.33 15.33 25.83 T.B4.1(b)-12 | | N/A N/A N/A N/A N/A | STAAD SPACE -- PAGE NO. 4 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 1.74E+02 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 2.33E+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 0.943 Eq. E3-1 3 0.00 | | Min Buck 1.20E+02 1.47E+02 0.818 Eq. E3-1 3 0.00 | | Flexural | | Tor Buck 1.20E+02 1.36E+02 0.882 Eq. E4-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 5.36E+00 76.91 2.64E+01 4.84E+01 1.41E+02 | | Min Buck 5.36E+00 56.61 3.04E+01 8.93E+01 1.63E+02 | | Flexural Ag Fcr Pn | | Tor Buck 0.00E+00 2.82E+01 1.51E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 5.10E+01 0.000 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 2.92E+01 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.62E+00 1.00 1.20 9.33 5.67E+01 | | Local-Y 1.50E+00 1.00 1.20 10.67 3.24E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.55E+02 0.000 Eq. F9-1 3 0.00 | | Minor 0.00E+00 2.06E+02 0.000 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 1.72E+02 0.00E+00 | | Minor 2.29E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 2.09E+03 0.000 Eq. F9-4 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 2.32E+03 0.00E+00 1.00 0.00 0.00 96.00 | 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 FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.943 Eq. H2-1 3 0.00 | | Flexure Tens 0.000 Eq. H2-1 3 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 2.24E+01 | | 5.18E+01 5.18E+01 2.37E+01 | | Flexure Tens 0.00E+00 0.00E+00 0.00E+00 | | 2.23E+01 5.18E+01 3.24E+01 | |-----------------------------------------------------------------------| 53. LOAD LIST 4 54. PARAMETER 2 55. CODE AISC UNIFIED 2010 56. METHOD ASD 57. FYLD 36 ALL 58. FU 58 ALL 59. LX 56 ALL 60. TRACK 2 ALL 61. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 6 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 LD L40356 (AISC SECTIONS) PASS Eq. H2-1 0.945 4 80.00 C 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 76.914 L/C : 4 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.945(PASS) | | Loc : 0.00 Condition : Eq. H2-1 | |-----------------------------------------------------------------------| | 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: 2.625E+00 Ayy: 1.500E+00 Cw: 0.000E+00 | | Szz: 0.000E+00 Syy: 0.000E+00 | | Izz: 8.350E+00 Iyy: 1.541E+01 Ix: 2.512E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 36.000 Fu: 58.000 | |-----------------------------------------------------------------------| | Actual Member Length: 96.000 | | 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 10.67 N/A 12.77 T.B4.1(a)-3 | | N/A N/A N/A N/A N/A | | Flexure : Compact 9.33 15.33 25.83 T.B4.1(b)-12 | | N/A N/A N/A N/A N/A | STAAD SPACE -- PAGE NO. 7 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 1.16E+02 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 1.55E+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 8.46E+01 0.945 Eq. E3-1 4 0.00 | | Min Buck 8.00E+01 9.76E+01 0.820 Eq. E3-1 4 0.00 | | Flexural | | Tor Buck 8.00E+01 9.05E+01 0.884 Eq. E4-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 5.36E+00 76.91 2.64E+01 4.84E+01 1.41E+02 | | Min Buck 5.36E+00 56.61 3.04E+01 8.93E+01 1.63E+02 | | Flexural Ag Fcr Pn | | Tor Buck 0.00E+00 2.82E+01 1.51E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 3.40E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 1.94E+01 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.62E+00 1.00 1.20 9.33 5.67E+01 | | Local-Y 1.50E+00 1.00 1.20 10.67 3.24E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.03E+02 0.000 Eq. F9-1 4 0.00 | | Minor 0.00E+00 1.37E+02 0.000 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 1.72E+02 0.00E+00 | | Minor 2.29E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.39E+03 0.000 Eq. F9-4 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 2.32E+03 0.00E+00 1.00 0.00 0.00 96.00 | 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 FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.945 Eq. H2-1 4 0.00 | | Flexure Tens 0.000 Eq. H2-1 4 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 1.49E+01 | | 3.45E+01 3.45E+01 1.58E+01 | | Flexure Tens 0.00E+00 0.00E+00 0.00E+00 | | 1.48E+01 3.45E+01 2.16E+01 | |-----------------------------------------------------------------------|