STAAD.Pro Help

V. AISC 360-05 W Local Buckling F.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 F.3, pp.F-20 - F-22

Details

From reference (2):

Select an ASTM A992 W-shape beam with a simple span of 40 feet. The nominal loads are a uniform dead load of 0.05 kip/ft and two equal 18 kip concentrated live loads acting at the third points of the beam. The beam is continuously braced. Also calculate the deflection.

Validation

Refer to reference.

Result Type Reference STAAD.Pro Difference Comments
ϕbMn (ft·k) [LRFD] 398 398 none  
Mnb (ft·k) [ASD] 265 265 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 Local Buckling F.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 14-Feb-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 40 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 W21X48
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
LOAD 1 LOADTYPE None  TITLE LOAD CASE 1
MEMBER LOAD
1 UNI GY -0.05
LOAD 2 LOADTYPE None  TITLE LOAD CASE 2
MEMBER LOAD
1 CON GY -18 13.333
1 CON GY -18 26.667
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
PRINT ANALYSIS RESULTS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
FU 9360 ALL
FYLD 7200 ALL
FLX 2 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FU 9360 ALL
FYLD 7200 ALL
FLX 2 ALL
METHOD ASD
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            6.470         3
                        0.00            0.00        -395.99       20.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    289.731  L/C  :     3                |
| Allowable Slenderness Ratio :    300.000  LOC  :    20.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      3    Ratio     :     6.470(FAIL)                 |
|          Loc  :   20.00   Condition :   Eq. H1-1b                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   0.000E+00(  ) Fy:   0.000E+00     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   0.000E+00     Mz:  -3.960E+02               |
|-----------------------------------------------------------------------|
| 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:        40.000                                   |
| 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     13.49    T.B4.1-3     |
|                Slender        53.54     N/A     35.88    T.B4.1-10    |
| Flexure     :  Non-Compact     9.47     9.15    24.08    T.B4.1-1     |
|                Compact        53.54    90.55   137.27    T.B4.1-9     |
      STAAD SPACE                                              -- PAGE NO.    7
                       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   4.61E+02   0.000      Sec. E1       3     0.00 |
| Min Buck    0.00E+00   3.79E+01   0.000      Eq. E7-1      3     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   1.54E+02   0.000      Eq. E7-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    8.92E-02    58.20   5.23E+03   1.22E+04   5.12E+02        |
| Min Buck    9.79E-02   289.73   4.31E+02   4.91E+02   4.22E+01        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    9.79E-02   1.75E+03   1.72E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   1.89E+02   0.000      Eq. G2-1      3     0.00 |
| Local-Y     3.00E+01   2.16E+02   0.139      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       3.96E+02   4.01E+02   0.987      Eq. F2-1      3    20.00 |
| Minor       0.00E+00   5.59E+01   0.000      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       3.96E+02   6.12E+01   6.470      Eq. F2-3      3    20.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       6.80E+01   0.00E+00    1.00     5.85    16.53    40.00    |
      STAAD SPACE                                              -- PAGE NO.    8
                       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       3.96E+02   3.98E+02   0.995      Eq. F3-1      3    20.00 |
| Minor       0.00E+00   5.52E+01   0.000      Eq. F6-2      3     0.00 |
| Intermediate   Mn        Fcr                                          |
| Major       4.42E+02   0.00E+00                                       |
| Minor       6.14E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          6.470      Eq. H1-1b     3    20.00             |
| Flexure Tens          6.470      Eq. H1-1b     3    20.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         6.12E+01   3.96E+02   3.79E+01                   |
|                      5.52E+01   0.00E+00   0.00E+00                   |
| Flexure Tens         6.12E+01   3.96E+02   6.35E+02                   |
|                      5.52E+01   0.00E+00   0.00E+00                   |
|-----------------------------------------------------------------------|
    50. LOAD LIST 4
    51. PARAMETER 2
    52. CODE AISC UNIFIED 2005
    53. FU 9360 ALL
    54. FYLD 7200 ALL
    55. FLX 2 ALL
    56. METHOD ASD
    57. TRACK 2 ALL
    58. CHECK CODE ALL
 STEEL DESIGN    
      STAAD SPACE                                              -- PAGE NO.    9
                       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            6.139         4
                        0.00            0.00        -249.99       20.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    289.731  L/C  :     4                |
| Allowable Slenderness Ratio :    300.000  LOC  :    20.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      4    Ratio     :     6.139(FAIL)                 |
|          Loc  :   20.00   Condition :   Eq. H1-1b                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   0.000E+00(  ) Fy:   0.000E+00     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   0.000E+00     Mz:  -2.500E+02               |
|-----------------------------------------------------------------------|
| 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:        40.000                                   |
| 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     13.49    T.B4.1-3     |
|                Slender        53.54     N/A     35.88    T.B4.1-10    |
| Flexure     :  Non-Compact     9.47     9.15    24.08    T.B4.1-1     |
|                Compact        53.54    90.55   137.27    T.B4.1-9     |
      STAAD SPACE                                              -- PAGE NO.   10
                       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   3.07E+02   0.000      Sec. E1       4     0.00 |
| Min Buck    0.00E+00   2.52E+01   0.000      Eq. E7-1      4     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   1.03E+02   0.000      Eq. E7-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    8.92E-02    58.20   5.23E+03   1.22E+04   5.12E+02        |
| Min Buck    9.79E-02   289.73   4.31E+02   4.91E+02   4.22E+01        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    9.79E-02   1.75E+03   1.72E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   1.26E+02   0.000      Eq. G2-1      4     0.00 |
| Local-Y     1.90E+01   1.44E+02   0.132      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       2.50E+02   2.67E+02   0.936      Eq. F2-1      4    20.00 |
| Minor       0.00E+00   3.72E+01   0.000      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       2.50E+02   4.07E+01   6.139      Eq. F2-3      4    20.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       6.80E+01   0.00E+00    1.00     5.85    16.53    40.00    |
      STAAD SPACE                                              -- PAGE NO.   11
                       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       2.50E+02   2.65E+02   0.944      Eq. F3-1      4    20.00 |
| Minor       0.00E+00   3.67E+01   0.000      Eq. F6-2      4     0.00 |
| Intermediate   Mn        Fcr                                          |
| Major       4.42E+02   0.00E+00                                       |
| Minor       6.14E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          6.139      Eq. H1-1b     4    20.00             |
| Flexure Tens          6.139      Eq. H1-1b     4    20.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         4.07E+01   2.50E+02   2.52E+01                   |
|                      3.67E+01   0.00E+00   0.00E+00                   |
| Flexure Tens         4.07E+01   2.50E+02   4.22E+02                   |
|                      3.67E+01   0.00E+00   0.00E+00                   |
|-----------------------------------------------------------------------|