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V. AISC 360-05 W Comp and Bending H.1B

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 H.1b, p.H-3

Details

From reference (2):

Verify if an ASTM A992 W14×99 has sufficient available strength to support the axial forces and moments listed below, obtained from a second order analysis that includes second-order effects. The unbraced length is 14 ft and the member has pinned ends. KLx = KLy = Lb = 14.0 ft
LRFD ASD
Pu = 400 kips Pa = 267 kips
Mux = 250 kip-ft Max = 167 kip-ft
Muy = 80.0 kip-ft May = 53.3 kip-ft

Validation

Refer to reference.

Table 1. Comparison of results
Result Type Reference STAAD.Pro Difference Comments
Interaction ratio [LRFD] 0.928 0.929 negligible  
Interaction ratio [ASD] 0.932 0.932 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 Comp and Bending H.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 19-Nov-12
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 14 0; 2 0 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 5184 FU 8352 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST W14X99
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
2 FIXED
LOAD 1 LOADTYPE None  TITLE LOAD CASE 1
JOINT LOAD
1 FY -400 MX 80 MZ 250
LOAD 2 LOADTYPE None  TITLE LOAD CASE 2
JOINT LOAD
1 FY -267 MX 53.3 MZ 167
PERFORM ANALYSIS
LOAD LIST 1
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FYLD 7200 ALL
FU 9360 ALL
LZ 14 ALL
LY 14 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 2
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FYLD 7200 ALL
FU 9360 ALL
LZ 14 ALL
LY 14 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   W14X99                   (AISC SECTIONS)
                           PASS   Eq. H1-1a            0.929         1
                      400.00 C         80.00         250.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :     45.200  L/C  :     1                |
| Allowable Slenderness Ratio :    200.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      1    Ratio     :     0.929(PASS)                 |
|          Loc  :    0.00   Condition :   Eq. H1-1a                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   4.000E+02(C ) Fy:   0.000E+00     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   8.000E+01     Mz:   2.500E+02               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   2.278E+01     Ayy:   6.887E+00     Cw:  1.810E+04              |
| Szz:   1.563E+02     Syy:   5.507E+01                                 |
| Izz:   1.110E+03     Iyy:   4.020E+02     Ix:  5.370E+00              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        14.000                                   |
| 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     9.36     N/A     13.49    T.B4.1-3     |
|                Non-Slender    23.59     N/A     35.88    T.B4.1-10    |
| Flexure     :  Non-Compact     9.36     9.15    24.08    T.B4.1-1     |
|                Compact        23.59    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   1.31E+03   0.000      Eq. D2-1      1     0.00 |
| Rupture     0.00E+00   1.42E+03   0.000      Eq. D2-2      1     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    4.00E+02   1.24E+03   0.322      Sec. E1       1     0.00 |
| Min Buck    4.00E+02   1.13E+03   0.355      Eq. E3-1      1     0.00 |
| Flexural                                                              |
| Tor Buck    4.00E+02   1.15E+03   0.348      Eq. E4-1      1     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    2.02E-01    27.20   6.82E+03   5.57E+04   1.38E+03        |
| Min Buck    2.02E-01    45.20   6.20E+03   2.02E+04   1.25E+03        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    2.02E-01   6.32E+03   1.28E+03                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   6.15E+02   0.000      Eq. G2-1      1     0.00 |
| Local-Y     0.00E+00   2.07E+02   0.000      Eq. G2-1      1     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     1.58E-01     1.00     1.20     9.36   6.83E+02            |
| Local-Y     4.78E-02     1.00     0.00    23.59   2.07E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -2.50E+02   6.49E+02   0.385      Eq. F2-1      1     0.00 |
| Minor       8.00E+01   3.14E+02   0.255      Eq. F6-1      1     0.00 |
| Intermediate   Mn        My                                           |
| Major       7.21E+02   0.00E+00                                       |
| Minor       3.48E+02   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -2.50E+02   6.42E+02   0.389      Eq. F2-2      1     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       7.14E+02   0.00E+00    1.00    13.13    45.47    14.00    |
      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      -2.50E+02   6.45E+02   0.387      Eq. F3-1      1     0.00 |
| Minor       8.00E+01   3.11E+02   0.257      Eq. F6-2      1     0.00 |
| Intermediate   Mn        Fcr                                          |
| Major       7.17E+02   0.00E+00                                       |
| Minor       3.46E+02   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          0.929      Eq. H1-1a     1     0.00             |
| Flexure Tens          0.646      Eq. H1-1b     1     0.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         6.42E+02  -2.50E+02   1.13E+03                   |
|                      3.11E+02   8.00E+01   4.00E+02                   |
| Flexure Tens         6.42E+02  -2.50E+02   1.31E+03                   |
|                      3.11E+02   8.00E+01   0.00E+00                   |
|-----------------------------------------------------------------------|
    44. LOAD LIST 2
    45. PARAMETER 2
    46. CODE AISC UNIFIED 2005
    47. METHOD ASD
    48. FYLD 7200 ALL
    49. FU 9360 ALL
    50. LZ 14 ALL
    51. LY 14 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   W14X99                   (AISC SECTIONS)
                           PASS   Eq. H1-1a            0.932         2
                      267.00 C         53.30         167.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :     45.200  L/C  :     2                |
| Allowable Slenderness Ratio :    200.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      2    Ratio     :     0.932(PASS)                 |
|          Loc  :    0.00   Condition :   Eq. H1-1a                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   2.670E+02(C ) Fy:   0.000E+00     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   5.330E+01     Mz:   1.670E+02               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   2.278E+01     Ayy:   6.887E+00     Cw:  1.810E+04              |
| Szz:   1.563E+02     Syy:   5.507E+01                                 |
| Izz:   1.110E+03     Iyy:   4.020E+02     Ix:  5.370E+00              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        14.000                                   |
| 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     9.36     N/A     13.49    T.B4.1-3     |
|                Non-Slender    23.59     N/A     35.88    T.B4.1-10    |
| Flexure     :  Non-Compact     9.36     9.15    24.08    T.B4.1-1     |
|                Compact        23.59    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   8.71E+02   0.000      Eq. D2-1      2     0.00 |
| Rupture     0.00E+00   9.46E+02   0.000      Eq. D2-2      2     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    2.67E+02   8.25E+02   0.323      Sec. E1       2     0.00 |
| Min Buck    2.67E+02   7.50E+02   0.356      Eq. E3-1      2     0.00 |
| Flexural                                                              |
| Tor Buck    2.67E+02   7.65E+02   0.349      Eq. E4-1      2     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    2.02E-01    27.20   6.82E+03   5.57E+04   1.38E+03        |
| Min Buck    2.02E-01    45.20   6.20E+03   2.02E+04   1.25E+03        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    2.02E-01   6.32E+03   1.28E+03                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   4.09E+02   0.000      Eq. G2-1      2     0.00 |
| Local-Y     0.00E+00   1.38E+02   0.000      Eq. G2-1      2     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     1.58E-01     1.00     1.20     9.36   6.83E+02            |
| Local-Y     4.78E-02     1.00     0.00    23.59   2.07E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -1.67E+02   4.32E+02   0.387      Eq. F2-1      2     0.00 |
| Minor       5.33E+01   2.09E+02   0.256      Eq. F6-1      2     0.00 |
| Intermediate   Mn        My                                           |
| Major       7.21E+02   0.00E+00                                       |
| Minor       3.48E+02   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major      -1.67E+02   4.27E+02   0.391      Eq. F2-2      2     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       7.14E+02   0.00E+00    1.00    13.13    45.47    14.00    |
      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      -1.67E+02   4.29E+02   0.389      Eq. F3-1      2     0.00 |
| Minor       5.33E+01   2.07E+02   0.257      Eq. F6-2      2     0.00 |
| Intermediate   Mn        Fcr                                          |
| Major       7.17E+02   0.00E+00                                       |
| Minor       3.46E+02   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          0.932      Eq. H1-1a     2     0.00             |
| Flexure Tens          0.648      Eq. H1-1b     2     0.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         4.27E+02  -1.67E+02   7.50E+02                   |
|                      2.07E+02   5.33E+01   2.67E+02                   |
| Flexure Tens         4.27E+02  -1.67E+02   8.71E+02                   |
|                      2.07E+02   5.33E+01   0.00E+00                   |
|-----------------------------------------------------------------------|