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V. AISC 360-05 W Shape Strong Axis Shear G-1

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.1, pp.G-3,4

Details

From reference (2):

Verify the shear strength of a W24×62 ASTM A992 beam with end shears of 48 kips from dead load and 145 kips from live load.

Validation

Refer to reference.

Result Type Reference STAAD.Pro Difference Comments
ϕvVn (kips) [LRFD] 306 306 none  
Vnv (kips) [ASD] 204 204 none  

STAAD.Pro Input File

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-05 W Shape Strong Axis Shear G-1.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 20-May-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 16 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL_50_KSI
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 7200 FU 8928 RY 1.5 RT 1.2
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 W24X62
CONSTANTS
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 GY -100 8
LOAD 2 LOADTYPE Live  TITLE LOAD CASE 2
MEMBER LOAD
1 CON GY -285 8
LOAD COMB 3 LRFD LOAD
1 1.2 2 1.6 
LOAD COMB 4 ASD LOAD
1 1.0 2 1.0 
PERFORM ANALYSIS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FYLD 7200 ALL
FU 9360 ALL
STP 1 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FYLD 7200 ALL
FU 9360 ALL
METHOD ASD
STP 1 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  FEET (UNLESS OTHERWISE Noted)
 MEMBER     TABLE       RESULT/   CRITICAL COND/     RATIO/     LOADING/
                          FX            MY             MZ       LOCATION
 =======================================================================
 *     1 ST   W24X62                   (AISC SECTIONS)
                           FAIL   Eq. H1-1b            8.014         3
                        0.00            0.00       -2304.00        8.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    139.453  L/C  :     3                |
| Allowable Slenderness Ratio :    300.000  LOC  :     8.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      3    Ratio     :     8.014(FAIL)                 |
|          Loc  :    8.00   Condition :   Eq. H1-1b                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   0.000E+00(  ) Fy:   2.880E+02     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   0.000E+00     Mz:  -2.304E+03               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   8.307E+00     Ayy:   1.019E+01     Cw:  4.606E+03              |
| Szz:   1.308E+02     Syy:   9.801E+00                                 |
| Izz:   1.550E+03     Iyy:   3.450E+01     Ix:  1.710E+00              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        16.000                                   |
| 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     5.97     N/A     13.49    T.B4.1-3     |
|                Slender        50.05     N/A     35.88    T.B4.1-10    |
| Flexure     :  Compact         5.97     9.15    24.08    T.B4.1-1     |
|                Compact        50.05    90.55   137.27    T.B4.1-9     |
      STAAD SPACE                                              -- PAGE NO.    4
                       STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION                                               |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Yield       0.00E+00   8.19E+02   0.000      Eq. D2-1      3     0.00 |
| Rupture     0.00E+00   8.87E+02   0.000      Eq. D2-2      3     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    0.00E+00   7.08E+02   0.000      Sec. E1       3     0.00 |
| Min Buck    0.00E+00   2.11E+02   0.000      Eq. E7-1      3     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   4.45E+02   0.000      Eq. E7-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    1.12E-01    20.81   6.23E+03   9.52E+04   7.87E+02        |
| Min Buck    1.26E-01   139.45   1.86E+03   2.12E+03   2.35E+02        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    1.25E-01   3.91E+03   4.94E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   2.24E+02   0.000      Eq. G2-1      3     0.00 |
| Local-Y     2.88E+02   3.06E+02   0.942      Eq. G2-1      3     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     5.77E-02     1.00     1.20     5.97   2.49E+02            |
| Local-Y     7.08E-02     1.00     0.00    50.05   3.06E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       2.30E+03   5.74E+02   4.016      Eq. F2-1      3     8.00 |
| Minor       0.00E+00   5.88E+01   0.000      Eq. F6-1      3     0.00 |
| Intermediate   Mn        My                                           |
| Major       6.38E+02   0.00E+00                                       |
| Minor       6.53E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       2.30E+03   2.87E+02   8.014      Eq. F2-3      3     8.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       3.19E+02   0.00E+00    1.00     4.86    14.40    16.00    |
      STAAD SPACE                                              -- PAGE NO.    5
                       STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          8.014      Eq. H1-1b     3     8.00             |
| Flexure Tens          8.014      Eq. H1-1b     3     8.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         2.87E+02   2.30E+03   2.11E+02                   |
|                      5.88E+01   0.00E+00   0.00E+00                   |
| Flexure Tens         2.87E+02   2.30E+03   8.19E+02                   |
|                      5.88E+01   0.00E+00   0.00E+00                   |
|-----------------------------------------------------------------------|
    56. LOAD LIST 4
    57. PARAMETER 2
    58. CODE AISC UNIFIED 2005
    59. FYLD 7200 ALL
    60. FU 9360 ALL
    61. METHOD ASD
    62. STP 1 ALL
    63. TRACK 2 ALL
    64. CHECK CODE ALL
 STEEL DESIGN    
      STAAD SPACE                                              -- PAGE NO.    6
                       STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
 MEMBER     TABLE       RESULT/   CRITICAL COND/     RATIO/     LOADING/
                          FX            MY             MZ       LOCATION
 =======================================================================
 *     1 ST   W24X62                   (AISC SECTIONS)
                           FAIL   Eq. H1-1b            8.051         4
                        0.00            0.00       -1540.00        8.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    139.453  L/C  :     4                |
| Allowable Slenderness Ratio :    300.000  LOC  :     8.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      4    Ratio     :     8.051(FAIL)                 |
|          Loc  :    8.00   Condition :   Eq. H1-1b                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   0.000E+00(  ) Fy:   1.925E+02     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   0.000E+00     Mz:  -1.540E+03               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   8.307E+00     Ayy:   1.019E+01     Cw:  4.606E+03              |
| Szz:   1.308E+02     Syy:   9.801E+00                                 |
| Izz:   1.550E+03     Iyy:   3.450E+01     Ix:  1.710E+00              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        16.000                                   |
| 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     5.97     N/A     13.49    T.B4.1-3     |
|                Slender        50.05     N/A     35.88    T.B4.1-10    |
| Flexure     :  Compact         5.97     9.15    24.08    T.B4.1-1     |
|                Compact        50.05    90.55   137.27    T.B4.1-9     |
      STAAD SPACE                                              -- PAGE NO.    7
                       STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION                                               |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Yield       0.00E+00   5.45E+02   0.000      Eq. D2-1      4     0.00 |
| Rupture     0.00E+00   5.92E+02   0.000      Eq. D2-2      4     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    0.00E+00   4.71E+02   0.000      Sec. E1       4     0.00 |
| Min Buck    0.00E+00   1.41E+02   0.000      Eq. E7-1      4     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   2.96E+02   0.000      Eq. E7-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    1.12E-01    20.81   6.23E+03   9.52E+04   7.87E+02        |
| Min Buck    1.26E-01   139.45   1.86E+03   2.12E+03   2.35E+02        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    1.25E-01   3.91E+03   4.94E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   1.49E+02   0.000      Eq. G2-1      4     0.00 |
| Local-Y     1.92E+02   2.04E+02   0.944      Eq. G2-1      4     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     5.77E-02     1.00     1.20     5.97   2.49E+02            |
| Local-Y     7.08E-02     1.00     0.00    50.05   3.06E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       1.54E+03   3.82E+02   4.034      Eq. F2-1      4     8.00 |
| Minor       0.00E+00   3.91E+01   0.000      Eq. F6-1      4     0.00 |
| Intermediate   Mn        My                                           |
| Major       6.38E+02   0.00E+00                                       |
| Minor       6.53E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       1.54E+03   1.91E+02   8.051      Eq. F2-3      4     8.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       3.19E+02   0.00E+00    1.00     4.86    14.40    16.00    |
      STAAD SPACE                                              -- PAGE NO.    8
                       STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          8.051      Eq. H1-1b     4     8.00             |
| Flexure Tens          8.051      Eq. H1-1b     4     8.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         1.91E+02   1.54E+03   1.41E+02                   |
|                      3.91E+01   0.00E+00   0.00E+00                   |
| Flexure Tens         1.91E+02   1.54E+03   5.45E+02                   |
|                      3.91E+01   0.00E+00   0.00E+00                   |
|-----------------------------------------------------------------------|