V. AISC 360-05 L Shear Capacity G.3
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 G.3, p.G-7
Details
From reference (2):
Verify the shear strength of a 5×3×1/4 (LLV) ASTM A36 angle with end shears of 3.5 kips from dead load and 10.5 kips from live load.
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
ϕvVn (kips) [LRFD] | 24.3 | 24.3 | none | |
Vn/Ωv (kips) [ASD] | 16.2 | 16.2 | 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 L Shear Capacity G.3.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 17-May-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 4 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST L50304
CONSTANTS
BETA 45 ALL
MATERIAL STEEL ALL
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
MEMBER LOAD
1 CON Y -10
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
MEMBER LOAD
1 CON Y -20
LOAD COMB 3 LRFD LOAD
1 1.2 2 1.6
LOAD COMB 4 ASD LOAD
1 1.0 2 1.0
PERFORM ANALYSIS
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FYLD 36 ALL
FU 58 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FYLD 36 ALL
FU 58 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 L50304 (AISC SECTIONS)
FAIL Eq. H2-1 14.492 3
0.00 230.75 297.25 24.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 73.620 L/C : 3 |
| Allowable Slenderness Ratio : 300.000 LOC : 24.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 3 Ratio : 14.492(FAIL) |
| Loc : 24.00 Condition : Eq. H2-1 |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 0.000E+00( ) Fy: 2.200E+01 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: 2.307E+02 Mz: 2.973E+02 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 1.250E+00 Ayy: 7.500E-01 Cw: 6.060E-02 |
| Szz: 5.259E-01 Syy: 1.692E+00 |
| Izz: 8.247E-01 Iyy: 5.723E+00 Ix: 4.042E-02 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 36.000 Fu: 58.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 48.000 |
| 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 : Slender 20.00 N/A 12.77 T.B4.1-5 |
| N/A N/A N/A N/A N/A |
| Flexure : Non-Compact 20.00 15.33 25.83 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 -0.00E+00 6.29E+01 0.000 Eq. D2-1 3 0.00 |
| Rupture -0.00E+00 8.44E+01 0.000 Eq. D2-2 3 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 4.89E+01 0.000 Sec. E1 3 0.00 |
| Min Buck 0.00E+00 4.02E+01 0.000 Eq. E7-1 3 0.00 |
| Flexural |
| Tor Buck 0.00E+00 3.49E+01 0.000 Eq. E7-1 3 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.94E+00 27.95 2.80E+01 3.66E+02 5.44E+01 |
| Min Buck 1.94E+00 73.62 2.30E+01 5.28E+01 4.47E+01 |
| Flexural Ag Fcr Pn |
| Tor Buck 1.94E+00 2.00E+01 3.88E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 1.46E+01 0.000 Eq. G2-1 3 0.00 |
| Local-Y 2.20E+01 2.43E+01 0.905 Eq. G2-1 3 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 7.50E-01 1.00 1.20 12.00 1.62E+01 |
| Local-Y 1.25E+00 1.00 1.20 20.00 2.70E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -2.31E+02 8.23E+01 2.805 Eq. F10-1 3 0.00 |
| Minor 2.97E+02 2.56E+01 11.631 Eq. F10-1 3 24.00 |
| Intermediate Mn My |
| Major 9.14E+01 6.09E+01 |
| Minor 2.84E+01 1.89E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -2.31E+02 8.06E+01 2.861 Eq. F10-3 3 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 8.96E+01 4.13E+02 1.00 0.00 0.00 48.00 |
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 BENDING-LEG LOCAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Minor -2.31E+02 4.17E+01 5.539 Eq. F10-7 3 0.00 |
| Intermediate Mn Me |
| Minor 4.63E+01 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR AND NORMAL STRESS INTERACTION |
| |
| STRESS RATIO CRITERIA L/C LOC |
| Shear 1.94E+01 0.905 Eq. H3-8 3 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 14.492 Eq. H2-1 3 24.00 |
| Flexure Tens 14.492 Eq. H2-1 3 24.00 |
| Intermediate frbw / frbz / fra / |
| Fcbw Fcbz Fca |
| Flexure Comp 9.59E+01 5.65E+02 0.00E+00 |
| 3.35E+01 4.86E+01 1.80E+01 |
| Flexure Tens 1.36E+02 5.65E+02 -0.00E+00 |
| 4.76E+01 4.86E+01 3.24E+01 |
|-----------------------------------------------------------------------|
49. LOAD LIST 4
50. PARAMETER 2
51. CODE AISC UNIFIED 2005
52. METHOD ASD
53. FYLD 36 ALL
54. FU 58 ALL
55. TRACK 2 ALL
56. CHECK CODE ALL
STEEL DESIGN
STAAD SPACE -- PAGE NO. 6
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 L50304 (AISC SECTIONS)
FAIL Eq. H2-1 14.851 4
0.00 157.33 202.67 24.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 73.620 L/C : 4 |
| Allowable Slenderness Ratio : 300.000 LOC : 24.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 4 Ratio : 14.851(FAIL) |
| Loc : 24.00 Condition : Eq. H2-1 |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 0.000E+00( ) Fy: 1.500E+01 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: 1.573E+02 Mz: 2.027E+02 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 1.250E+00 Ayy: 7.500E-01 Cw: 6.060E-02 |
| Szz: 5.259E-01 Syy: 1.692E+00 |
| Izz: 8.247E-01 Iyy: 5.723E+00 Ix: 4.042E-02 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 36.000 Fu: 58.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 48.000 |
| 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 : Slender 20.00 N/A 12.77 T.B4.1-5 |
| N/A N/A N/A N/A N/A |
| Flexure : Non-Compact 20.00 15.33 25.83 T.B4.1-6 |
| N/A N/A N/A N/A N/A |
STAAD SPACE -- PAGE NO. 7
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 -0.00E+00 4.18E+01 0.000 Eq. D2-1 4 0.00 |
| Rupture -0.00E+00 5.63E+01 0.000 Eq. D2-2 4 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 3.25E+01 0.000 Sec. E1 4 0.00 |
| Min Buck 0.00E+00 2.67E+01 0.000 Eq. E7-1 4 0.00 |
| Flexural |
| Tor Buck 0.00E+00 2.32E+01 0.000 Eq. E7-1 4 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.94E+00 27.95 2.80E+01 3.66E+02 5.44E+01 |
| Min Buck 1.94E+00 73.62 2.30E+01 5.28E+01 4.47E+01 |
| Flexural Ag Fcr Pn |
| Tor Buck 1.94E+00 2.00E+01 3.88E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 9.70E+00 0.000 Eq. G2-1 4 0.00 |
| Local-Y 1.50E+01 1.62E+01 0.928 Eq. G2-1 4 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 7.50E-01 1.00 1.20 12.00 1.62E+01 |
| Local-Y 1.25E+00 1.00 1.20 20.00 2.70E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -1.57E+02 5.47E+01 2.875 Eq. F10-1 4 0.00 |
| Minor 2.03E+02 1.70E+01 11.919 Eq. F10-1 4 24.00 |
| Intermediate Mn My |
| Major 9.14E+01 6.09E+01 |
| Minor 2.84E+01 1.89E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -1.57E+02 5.37E+01 2.932 Eq. F10-3 4 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 8.96E+01 4.13E+02 1.00 0.00 0.00 48.00 |
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 BENDING-LEG LOCAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Minor -1.57E+02 2.77E+01 5.676 Eq. F10-7 4 0.00 |
| Intermediate Mn Me |
| Minor 4.63E+01 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR AND NORMAL STRESS INTERACTION |
| |
| STRESS RATIO CRITERIA L/C LOC |
| Shear 1.29E+01 0.928 Eq. H3-8 4 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 14.851 Eq. H2-1 4 24.00 |
| Flexure Tens 14.851 Eq. H2-1 4 24.00 |
| Intermediate frbw / frbz / fra / |
| Fcbw Fcbz Fca |
| Flexure Comp 6.54E+01 3.85E+02 0.00E+00 |
| 2.23E+01 3.23E+01 1.20E+01 |
| Flexure Tens 9.30E+01 3.85E+02 -0.00E+00 |
| 3.17E+01 3.23E+01 2.16E+01 |
|-----------------------------------------------------------------------|