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V. AISC 360-05 I Minor Axis Bending F.5

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.5, pp.F-25,26

Details

From reference (2):

Select an ASTM A992 W-shape beam loaded in its minor axis with a simple span of 15 ft. The nominal loads are a total uniform dead load of 0.667 kip/ft and a uniform live load of 2 kip/ft. Limit the live load deflection to L/240. Assume the beam is braced at the ends only.

Validation

Refer to reference.

Result Type Reference STAAD.Pro Difference Comments
ϕbMn (ft·k) [LRFD] 122 122 none  
Mnb (ft·k) [ASD] 81.4 81.1 negligible  

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 I Minor Axis Bending F.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 15-Feb-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 15 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 W12X58
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
2 FIXED BUT FX MY
1 FIXED BUT MY
LOAD 1 LOADTYPE None  TITLE LOAD CASE 1
MEMBER LOAD
1 UNI GZ -0.667
LOAD 2 LOADTYPE None  TITLE LOAD CASE 2
MEMBER LOAD
1 UNI GZ -2
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
FU 9360 ALL
FYLD 7200 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FU 9360 ALL
FYLD 7200 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   W12X58                   (AISC SECTIONS)
                           PASS   Eq. H1-1b            0.923         3
                        0.00          112.51           0.00        7.50
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :     71.747  L/C  :     3                |
| Allowable Slenderness Ratio :    300.000  LOC  :     7.50             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      3    Ratio     :     0.923(PASS)                 |
|          Loc  :    7.50   Condition :   Eq. H1-1b                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   0.000E+00(  ) Fy:   0.000E+00     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   1.125E+02     Mz:   0.000E+00               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   1.280E+01     Ayy:   4.392E+00     Cw:  3.575E+03              |
| Szz:   7.787E+01     Syy:   2.140E+01                                 |
| Izz:   4.750E+02     Iyy:   1.070E+02     Ix:  2.100E+00              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        15.000                                   |
| 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     7.81     N/A     13.49    T.B4.1-3     |
|                Non-Slender    27.00     N/A     35.88    T.B4.1-10    |
| Flexure     :  Compact         7.81     9.15    24.08    T.B4.1-1     |
|                Compact        27.00    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   7.65E+02   0.000      Eq. D2-1      3     0.00 |
| Rupture     0.00E+00   8.29E+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   7.03E+02   0.000      Sec. E1       3     0.00 |
| Min Buck    0.00E+00   5.25E+02   0.000      Eq. E3-1      3     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   6.13E+02   0.000      Eq. E4-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    1.18E-01    34.05   6.61E+03   3.55E+04   7.81E+02        |
| Min Buck    1.18E-01    71.75   4.94E+03   8.01E+03   5.83E+02        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    1.18E-01   5.77E+03   6.81E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z    -3.00E+01   3.46E+02   0.087      Eq. G2-1      3     0.00 |
| Local-Y     0.00E+00   1.32E+02   0.000      Eq. G2-1      3     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     8.89E-02     1.00     1.20     7.81   3.84E+02            |
| Local-Y     3.05E-02     1.00     0.00    27.00   1.32E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   3.24E+02   0.000      Eq. F2-1      3     0.00 |
| Minor       1.13E+02   1.22E+02   0.923      Eq. F6-1      3     7.50 |
| Intermediate   Mn        My                                           |
| Major       3.60E+02   0.00E+00                                       |
| Minor       1.35E+02   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   2.89E+02   0.000      Eq. F2-2      3     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       3.21E+02   0.00E+00    1.00     8.86    29.98    15.00    |
      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          0.923      Eq. H1-1b     3     7.50             |
| Flexure Tens          0.923      Eq. H1-1b     3     7.50             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         2.89E+02   0.00E+00   5.25E+02                   |
|                      1.22E+02   1.13E+02   0.00E+00                   |
| Flexure Tens         2.89E+02   0.00E+00   7.65E+02                   |
|                      1.22E+02   1.13E+02   0.00E+00                   |
|-----------------------------------------------------------------------|
    47. LOAD LIST 4
    48. PARAMETER 2
    49. CODE AISC UNIFIED 2005
    50. FU 9360 ALL
    51. FYLD 7200 ALL
    52. METHOD ASD
    53. TRACK 2 ALL
    54. 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   W12X58                   (AISC SECTIONS)
                           PASS   Eq. H1-1b            0.925         4
                        0.00           75.01           0.00        7.50
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :     71.747  L/C  :     4                |
| Allowable Slenderness Ratio :    300.000  LOC  :     7.50             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      4    Ratio     :     0.925(PASS)                 |
|          Loc  :    7.50   Condition :   Eq. H1-1b                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   0.000E+00(  ) Fy:   0.000E+00     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   7.501E+01     Mz:   0.000E+00               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   1.280E+01     Ayy:   4.392E+00     Cw:  3.575E+03              |
| Szz:   7.787E+01     Syy:   2.140E+01                                 |
| Izz:   4.750E+02     Iyy:   1.070E+02     Ix:  2.100E+00              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        15.000                                   |
| 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     7.81     N/A     13.49    T.B4.1-3     |
|                Non-Slender    27.00     N/A     35.88    T.B4.1-10    |
| Flexure     :  Compact         7.81     9.15    24.08    T.B4.1-1     |
|                Compact        27.00    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   5.09E+02   0.000      Eq. D2-1      4     0.00 |
| Rupture     0.00E+00   5.52E+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   4.68E+02   0.000      Sec. E1       4     0.00 |
| Min Buck    0.00E+00   3.49E+02   0.000      Eq. E3-1      4     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   4.08E+02   0.000      Eq. E4-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    1.18E-01    34.05   6.61E+03   3.55E+04   7.81E+02        |
| Min Buck    1.18E-01    71.75   4.94E+03   8.01E+03   5.83E+02        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    1.18E-01   5.77E+03   6.81E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z    -2.00E+01   2.30E+02   0.087      Eq. G2-1      4     0.00 |
| Local-Y     0.00E+00   8.78E+01   0.000      Eq. G2-1      4     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     8.89E-02     1.00     1.20     7.81   3.84E+02            |
| Local-Y     3.05E-02     1.00     0.00    27.00   1.32E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   2.16E+02   0.000      Eq. F2-1      4     0.00 |
| Minor       7.50E+01   8.11E+01   0.925      Eq. F6-1      4     7.50 |
| Intermediate   Mn        My                                           |
| Major       3.60E+02   0.00E+00                                       |
| Minor       1.35E+02   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   1.92E+02   0.000      Eq. F2-2      4     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       3.21E+02   0.00E+00    1.00     8.86    29.98    15.00    |
      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          0.925      Eq. H1-1b     4     7.50             |
| Flexure Tens          0.925      Eq. H1-1b     4     7.50             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         1.92E+02   0.00E+00   3.49E+02                   |
|                      8.11E+01   7.50E+01   0.00E+00                   |
| Flexure Tens         1.92E+02   0.00E+00   5.09E+02                   |
|                      8.11E+01   7.50E+01   0.00E+00                   |
|-----------------------------------------------------------------------|