STAAD.Pro Help

V. AISC 360-10 - G-6

Reference

Design Examples, Version 14.0, American Institute of Steel Construction, 2011, page G-13.

Note: This reference is freely available for download from the AISC website at https://www.aisc.org/globalassets/aisc/university-programs/teaching-aids/first-semester-design-examples.pdf

Problem

From the reference:

Verify the available shear strength and adequacy of a W21×48 ASTM A992 beam with end shears of 20.0 kips from dead load and 60.0 kips from live load in the weak direction.

Refer to the reference for calculations.

Comparison

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

STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\360-2010\AISC 360-10 - G-6.STD is typically installed with the program.

Tip: You can copy and paste this content directly into a .std file to run in STAAD.Pro.
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+006
POISSON 0.3
DENSITY 0.489024
ALPHA 1.2e-005
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 2010
METHOD LRFD
FYLD 7200
FU 9360
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
METHOD ASD
FYLD 7200
FU 9360
TRACK 2 ALL
CHECK CODE ALL
FINISH

STAAD Output

                       STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD)   v1.4a
                       ********************************************
 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:   0.000E+00     Syy:   0.000E+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(a)-1  |
|                Slender        53.54     N/A     36.33    T.B4.1(a)-5  |
| Flexure     :  Non-Compact     9.47     9.27    24.39    T.B4.1(b)-10 |
|                Compact        53.54    91.69   139.00    T.B4.1(b)-15 |
      STAAD SPACE                                              -- PAGE NO.    4
                       STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD)   v1.4a
                       ********************************************
 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      Eq. E7-1      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-360-10-LRFD)   v1.4a
                       ********************************************
 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 2010
    49. METHOD ASD
    50. FYLD 7200
    51. FU 9360
    52. TRACK 2 ALL
    53. CHECK CODE ALL
 STEEL DESIGN    
      STAAD SPACE                                              -- PAGE NO.    6
                       STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD)   v1.4a
                       ********************************************
 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:   0.000E+00     Syy:   0.000E+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(a)-1  |
|                Slender        53.54     N/A     36.33    T.B4.1(a)-5  |
| Flexure     :  Non-Compact     9.47     9.27    24.39    T.B4.1(b)-10 |
|                Compact        53.54    91.69   139.00    T.B4.1(b)-15 |
      STAAD SPACE                                              -- PAGE NO.    7
                       STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD)   v1.4a
                       ********************************************
 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      Eq. E7-1      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-360-10-ASD)   v1.4a
                       ********************************************
 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                   |
|-----------------------------------------------------------------------|