# V. AISC 360-05 L Shear Capacity G.3

## References

1. Steel Construction Manual, Version 13.0, American Institute of Steel Construction, 2005
2. 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.

## Validation

Area of the web for shear:

Aw = bt = 5.0(0.25) = 1.25 in2

Section G4 of Reference 1 gives kv = 1.2.

$htw=bt=5.00.25=20<1.10kvEFy=1.101.2(29,000)36=34.2$

Therefore, Cv = 1.0.

Nominal Shear Strength

 (Eq. G2-1)

The available shear strength:

LRFD:

ASD:

ϕvVn (kips) [LRFD] 24.3 24.3 none
Vnv (kips) [ASD] 16.2 16.2 none

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-05 L Shear Capacity G.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
1 CON Y -10
1 CON Y -20
1 1.2 2 1.6
1 1.0 2 1.0
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FYLD 36 ALL
FU 58 ALL
TRACK 2 ALL
CHECK CODE ALL
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FYLD 36 ALL
FU 58 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH


                       STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD)   v3.3a
********************************************
ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted)
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  |
| Min Buck    0.00E+00   3.18E+01   0.000      Eq. E7-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Min Buck    1.94E+00   104.61   1.82E+01   2.62E+01   3.53E+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   1.64E+01                   |
| Flexure Tens         1.36E+02   5.65E+02   0.00E+00                   |
|                      4.76E+01   4.86E+01   3.24E+01                   |
|-----------------------------------------------------------------------|
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)
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  |
| Min Buck    0.00E+00   2.12E+01   0.000      Eq. E7-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Min Buck    1.94E+00   104.61   1.82E+01   2.62E+01   3.53E+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   1.09E+01                   |
| Flexure Tens         9.30E+01   3.85E+02   0.00E+00                   |
|                      3.17E+01   3.23E+01   2.16E+01                   |
|-----------------------------------------------------------------------|