V. AISC 360-05 Angle Section D-2
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 D.2, pp. D-4,5
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.
Validation
Refer to reference.
Results
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
Tensile yielding ϕtPn (kips) [LRFD] | 122 | 122 | none | |
Tensile rupture ϕtPn (kips) [LRFD] | 125 | 125 | none | |
Tensile yielding Pn/Ωt (kips) [ASD] | 80.8 | 80.8 | none | |
Tensile rupture Pn/Ωt (kips) [ASD] | 83.5 | 83.5 | 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 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 |