V. AISC 360-05 Angle Section D-2
Details
From reference (2):
Verify, by both ASD and LRFD, the strength of an L4×4×½, ASTM A36, with one line of (4) ¾ in. diameter bolts in standard holes. The member carries a dead load of 20 kips and a live load of 60 kips in tension. Calculate at what length this tension member would cease to satisfy the recommended slenderness limit.
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro 2023\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-05 Angle Section D-2.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 25-Oct-12
END JOB INFORMATION
INPUT WIDTH 79
UNIT INCHES KIP
JOINT COORDINATES
1 0 0 0; 2 6 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 29732.7
POISSON 0.3
DENSITY 0.000283
ALPHA 1.2e-05
DAMP 0.03
TYPE STEEL
STRENGTH FY 36.7236 FU 59.1464 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST L40408
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
JOINT LOAD
2 FX 20
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
JOINT LOAD
2 FX 60
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 2005
METHOD LRFD
SLF 0.869 ALL
NSF 0.883 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
SLF 0.869 ALL
NSF 0.883 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 INCH (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 ST L40408 (AISC SECTIONS) PASS Eq. H2-1 0.988 3 120.00 T -0.00 -0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 7.732 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.988(PASS) | | Loc : 0.00 Condition : Eq. H2-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 1.200E+02(T ) 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: 2.000E+00 Ayy: 2.000E+00 Cw: 3.662E-01 | | Szz: 1.371E+00 Syy: 3.121E+00 | | Izz: 2.258E+00 Iyy: 8.865E+00 Ix: 3.125E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 36.000 Fu: 58.000 | |-----------------------------------------------------------------------| | Actual Member Length: 6.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.88 SLF: 0.87 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 8.00 N/A 12.93 T.B4.1-5 | | N/A N/A N/A N/A N/A | | Flexure : Compact 8.00 15.52 26.15 T.B4.1-6 | | N/A N/A N/A N/A N/A | STAAD SPACE -- PAGE NO. 4 STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 1.20E+02 1.22E+02 0.988 Eq. D2-1 3 0.00 | | Rupture 1.20E+02 1.25E+02 0.959 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 1.21E+02 0.000 Sec. E1 3 0.00 | | Min Buck 0.00E+00 1.21E+02 0.000 Eq. E3-1 3 0.00 | | Flexural | | Tor Buck 0.00E+00 1.17E+02 0.000 Eq. E4-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 3.75E+00 3.90 3.60E+01 1.93E+04 1.35E+02 | | Min Buck 3.75E+00 7.73 3.59E+01 4.91E+03 1.35E+02 | | Flexural Ag Fcr Pn | | Tor Buck 3.75E+00 3.46E+01 1.30E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -0.00E+00 3.89E+01 0.000 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 3.89E+01 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.00E+00 1.00 1.20 8.00 4.32E+01 | | Local-Y 2.00E+00 1.00 1.20 8.00 4.32E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.52E+02 0.000 Eq. F10-1 3 0.00 | | Minor -0.00E+00 6.66E+01 0.000 Eq. F10-1 3 0.00 | | Intermediate Mn My | | Major 1.69E+02 1.12E+02 | | Minor 7.40E+01 4.94E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.52E+02 0.000 Eq. F10-3 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 1.69E+02 9.12E+03 1.00 0.00 0.00 6.00 | STAAD SPACE -- PAGE NO. 5 STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR SHEAR AND NORMAL STRESS INTERACTION | | | | STRESS RATIO CRITERIA L/C LOC | | Shear 1.94E+01 0.000 Eq. H3-8 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.000 Eq. H2-1 3 0.00 | | Flexure Tens 0.988 Eq. H2-1 3 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 0.00E+00 | | 4.86E+01 4.86E+01 3.11E+01 | | Flexure Tens 0.00E+00 0.00E+00 3.20E+01 | | 4.86E+01 4.86E+01 3.24E+01 | GEOMETRIC AXIS DESIGN |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 9.60E+01 0.000 Eq. F10-1 3 0.00 | | Minor 0.00E+00 9.60E+01 0.000 Eq. F10-1 3 0.00 | | Intermediate Mn My | | Major 1.07E+02 7.11E+01 | | Minor 1.07E+02 7.11E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 7.68E+01 0.000 Eq. F10-3 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 8.53E+01 1.40E+05 1.00 0.00 0.00 6.00 | |-----------------------------------------------------------------------| STAAD SPACE -- PAGE NO. 6 46. LOAD LIST 4 47. PARAMETER 2 48. CODE AISC UNIFIED 2005 49. METHOD ASD 50. SLF 0.869 ALL 51. NSF 0.883 ALL 52. TRACK 2 ALL 53. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 ST L40408 (AISC SECTIONS) PASS Eq. H2-1 0.990 4 80.00 T -0.00 -0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 7.732 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.990(PASS) | | Loc : 0.00 Condition : Eq. H2-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 8.000E+01(T ) 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: 2.000E+00 Ayy: 2.000E+00 Cw: 3.662E-01 | | Szz: 1.371E+00 Syy: 3.121E+00 | | Izz: 2.258E+00 Iyy: 8.865E+00 Ix: 3.125E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 36.000 Fu: 58.000 | |-----------------------------------------------------------------------| | Actual Member Length: 6.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.88 SLF: 0.87 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 8.00 N/A 12.93 T.B4.1-5 | | N/A N/A N/A N/A N/A | | Flexure : Compact 8.00 15.52 26.15 T.B4.1-6 | | N/A N/A N/A N/A N/A | STAAD SPACE -- PAGE NO. 8 STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 8.00E+01 8.08E+01 0.990 Eq. D2-1 4 0.00 | | Rupture 8.00E+01 8.34E+01 0.959 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 8.08E+01 0.000 Sec. E1 4 0.00 | | Min Buck 0.00E+00 8.06E+01 0.000 Eq. E3-1 4 0.00 | | Flexural | | Tor Buck 0.00E+00 7.76E+01 0.000 Eq. E4-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 3.75E+00 3.90 3.60E+01 1.93E+04 1.35E+02 | | Min Buck 3.75E+00 7.73 3.59E+01 4.91E+03 1.35E+02 | | Flexural Ag Fcr Pn | | Tor Buck 3.75E+00 3.46E+01 1.30E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -0.00E+00 2.59E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 2.59E+01 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.00E+00 1.00 1.20 8.00 4.32E+01 | | Local-Y 2.00E+00 1.00 1.20 8.00 4.32E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.01E+02 0.000 Eq. F10-1 4 0.00 | | Minor -0.00E+00 4.43E+01 0.000 Eq. F10-1 4 0.00 | | Intermediate Mn My | | Major 1.69E+02 1.12E+02 | | Minor 7.40E+01 4.94E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.01E+02 0.000 Eq. F10-3 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 1.69E+02 9.12E+03 1.00 0.00 0.00 6.00 | STAAD SPACE -- PAGE NO. 9 STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR SHEAR AND NORMAL STRESS INTERACTION | | | | STRESS RATIO CRITERIA L/C LOC | | Shear 1.29E+01 0.000 Eq. H3-8 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.000 Eq. H2-1 4 0.00 | | Flexure Tens 0.990 Eq. H2-1 4 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 0.00E+00 | | 3.23E+01 3.23E+01 2.07E+01 | | Flexure Tens 0.00E+00 0.00E+00 2.13E+01 | | 3.23E+01 3.23E+01 2.16E+01 | GEOMETRIC AXIS DESIGN |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 6.38E+01 0.000 Eq. F10-1 4 0.00 | | Minor 0.00E+00 6.38E+01 0.000 Eq. F10-1 4 0.00 | | Intermediate Mn My | | Major 1.07E+02 7.11E+01 | | Minor 1.07E+02 7.11E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 5.11E+01 0.000 Eq. F10-3 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb |