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V. AISC 360-05 W Section Weak Axis Shear G-6

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.6, p.G-11

Details

From reference (2):

Verify the strength of a W21×48 ASTM A992 beam with end shears of 20 kips from dead load and 60 kips from live load in the weak direction.

Validation

Refer to reference.

表 1. Comparison of results
Result Type Reference STAAD.Pro Difference Comments
ϕvVn (kips) [LRFD] 189 189 none  
Vnv (kips) [ASD] 126 126 none  

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 W Section Weak Axis Shear G-6.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 25-Oct-12
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 8 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.28151e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 1.2e-05
DAMP 0.03
TYPE STEEL
STRENGTH FY 7200 FU 9360 RY 1.5 RT 1.2
END DEFINE MATERIAL
CONSTANTS
MATERIAL STEEL ALL
MEMBER PROPERTY AMERICAN
1 TABLE ST W21X48
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE Dead  TITLE LOAD CASE 1
MEMBER LOAD
1 CON GZ -20 0.665
LOAD 2 LOADTYPE Live  TITLE LOAD CASE 2
MEMBER LOAD
1 CON GZ -60 0.665
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
FYLD 7200 ALL
FU 9360 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FYLD 7200 ALL
FU 9360 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   W21X48                   (AISC SECTIONS)
                           FAIL   Eq. H1-1b            1.439         3
                        0.00          -79.80           0.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :     57.946  L/C  :     3                |
| Allowable Slenderness Ratio :    300.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      3    Ratio     :     1.439(FAIL)                 |
|          Loc  :    0.00   Condition :   Eq. H1-1b                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   0.000E+00(  ) Fy:   0.000E+00     Fz:   1.200E+02               |
| Mx:   0.000E+00     My:  -7.980E+01     Mz:   0.000E+00               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   7.000E+00     Ayy:   7.210E+00     Cw:  3.936E+03              |
| Szz:   9.311E+01     Syy:   9.509E+00                                 |
| Izz:   9.590E+02     Iyy:   3.870E+01     Ix:  8.030E-01              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:         8.000                                   |
| 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     9.47     N/A     13.66    T.B4.1-3     |
|                Slender        53.54     N/A     36.33    T.B4.1-10    |
| Flexure     :  Non-Compact     9.47     9.27    24.39    T.B4.1-1     |
|                Compact        53.54    91.69   139.00    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   6.35E+02   0.000      Eq. D2-1      3     0.00 |
| Rupture    -0.00E+00   6.87E+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   5.54E+02   0.000      Sec. E1       3     0.00 |
| Min Buck    0.00E+00   4.66E+02   0.000      Eq. E7-1      3     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   4.97E+02   0.000      Eq. E7-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    8.62E-02    11.64   6.28E+03   3.12E+05   6.15E+02        |
| Min Buck    8.94E-02    57.95   5.28E+03   1.26E+04   5.17E+02        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    8.82E-02   5.64E+03   5.52E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z    -1.20E+02   1.89E+02   0.635      Eq. G2-1      3     0.00 | 
| Local-Y     0.00E+00   2.16E+02   0.000      Eq. G2-1      3     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     4.86E-02     1.00     1.20     9.47   2.10E+02            |
| Local-Y     5.01E-02     1.00     0.00    53.54   2.16E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -0.00E+00   4.01E+02   0.000      Eq. F2-1      3     0.00 |
| Minor      -7.98E+01   5.59E+01   1.428      Eq. F6-1      3     0.00 |
| Intermediate   Mn        My                                           |
| Major       4.46E+02   0.00E+00                                       |
| Minor       6.21E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -0.00E+00   3.71E+02   0.000      Eq. F2-2      3     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       4.12E+02   0.00E+00    1.00     5.93    16.76     8.00    |
      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 BENDING-FLANGE LOCAL BUCKLING                               |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -0.00E+00   3.99E+02   0.000      Eq. F3-1      3     0.00 |
| Minor      -7.98E+01   5.55E+01   1.439      Eq. F6-2      3     0.00 |
| Intermediate   Mn        Fcr                                          |
| Major       4.44E+02   0.00E+00                                       |
| Minor       6.16E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          1.439      Eq. H1-1b     3     0.00             |
| Flexure Tens          1.439      Eq. H1-1b     3     0.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         3.71E+02  -0.00E+00   4.66E+02                   |
|                      5.55E+01  -7.98E+01   0.00E+00                   |
| Flexure Tens         3.71E+02  -0.00E+00   6.35E+02                   |
|                      5.55E+01  -7.98E+01  -0.00E+00                   |
|-----------------------------------------------------------------------|
    46. LOAD LIST 4
    47. PARAMETER 2
    48. CODE AISC UNIFIED 2005
    49. METHOD ASD
    50. FYLD 7200 ALL
    51. FU 9360 ALL
    52. TRACK 2 ALL
    53. 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   W21X48                   (AISC SECTIONS)
                           FAIL   Eq. H1-1b            1.442         4
                        0.00          -53.20           0.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :     57.946  L/C  :     4                |
| Allowable Slenderness Ratio :    300.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      4    Ratio     :     1.442(FAIL)                 |
|          Loc  :    0.00   Condition :   Eq. H1-1b                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   0.000E+00(  ) Fy:   0.000E+00     Fz:   8.000E+01               |
| Mx:   0.000E+00     My:  -5.320E+01     Mz:   0.000E+00               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   7.000E+00     Ayy:   7.210E+00     Cw:  3.936E+03              |
| Szz:   9.311E+01     Syy:   9.509E+00                                 |
| Izz:   9.590E+02     Iyy:   3.870E+01     Ix:  8.030E-01              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:         8.000                                   |
| 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     9.47     N/A     13.66    T.B4.1-3     |
|                Slender        53.54     N/A     36.33    T.B4.1-10    |
| Flexure     :  Non-Compact     9.47     9.27    24.39    T.B4.1-1     |
|                Compact        53.54    91.69   139.00    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   4.22E+02   0.000      Eq. D2-1      4     0.00 |
| Rupture    -0.00E+00   4.58E+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   3.68E+02   0.000      Sec. E1       4     0.00 |
| Min Buck    0.00E+00   3.10E+02   0.000      Eq. E7-1      4     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   3.31E+02   0.000      Eq. E7-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    8.62E-02    11.64   6.28E+03   3.12E+05   6.15E+02        |
| Min Buck    8.94E-02    57.95   5.28E+03   1.26E+04   5.17E+02        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    8.82E-02   5.64E+03   5.52E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z    -8.00E+01   1.26E+02   0.636      Eq. G2-1      4     0.00 | 
| Local-Y     0.00E+00   1.44E+02   0.000      Eq. G2-1      4     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     4.86E-02     1.00     1.20     9.47   2.10E+02            |
| Local-Y     5.01E-02     1.00     0.00    53.54   2.16E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -0.00E+00   2.67E+02   0.000      Eq. F2-1      4     0.00 |
| Minor      -5.32E+01   3.72E+01   1.431      Eq. F6-1      4     0.00 |
| Intermediate   Mn        My                                           |
| Major       4.46E+02   0.00E+00                                       |
| Minor       6.21E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -0.00E+00   2.47E+02   0.000      Eq. F2-2      4     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       4.12E+02   0.00E+00    1.00     5.93    16.76     8.00    |
      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 BENDING-FLANGE LOCAL BUCKLING                               |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -0.00E+00   2.66E+02   0.000      Eq. F3-1      4     0.00 |
| Minor      -5.32E+01   3.69E+01   1.442      Eq. F6-2      4     0.00 |
| Intermediate   Mn        Fcr                                          |
| Major       4.44E+02   0.00E+00                                       |
| Minor       6.16E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          1.442      Eq. H1-1b     4     0.00             |
| Flexure Tens          1.442      Eq. H1-1b     4     0.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         2.47E+02  -0.00E+00   3.10E+02                   |
|                      3.69E+01  -5.32E+01   0.00E+00                   |
| Flexure Tens         2.47E+02  -0.00E+00   4.22E+02                   |
|                      3.69E+01  -5.32E+01  -0.00E+00                   |
|-----------------------------------------------------------------------|