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V. AISC 360-05 F.1-3 LTB I Section

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 F1-3, pp.F-11 - F-14

Details

From reference (2):

Verify the strength of the W18×50 beam selected in Example F.1-1a if the beam is braced at the ends and center point rather than continuously braced.

From Example F1-1a (also found in Reference (1) ):

Select an ASTM A992 W-shape beam with a simple span of 35 feet. Limit the member to a maximum nominal depth of 18 in. Limit the live load deflection to L/360. The nominal loads are a uniform dead load of 0.45 kip/ft and a uniform live load of 0.75 kip/ft.

Validation

Refer to reference.

Table 1. Comparison of results
Result Type Reference STAAD.Pro Difference Comments
ϕbMn (ft·kips) [LRFD] 288 288 none  
Mnb (ft·kips) [ASD] 192 192 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 F.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 25-OCT-12
JOB NAME AISC 360-10 Validation
JOB CLIENT Bentley
JOB NO 7
END JOB INFORMATION
INPUT WIDTH 79
UNIT INCHES KIP
JOINT COORDINATES
1 0 0 0; 2 420 0 0;
MEMBER INCIDENCES
1 1 2;
***************************************************
DEFINE MATERIAL START
ISOTROPIC STEEL
E 29000
POISSON 0.3
DENSITY 0.000283
ALPHA 1.2e-05
DAMP 0.03
TYPE STEEL
STRENGTH FY 36 FU 59 RY 1.5 RT 1.2
END DEFINE MATERIAL
***************************************************
MEMBER PROPERTY AMERICAN
1 TABLE ST W18X50
***************************************************
CONSTANTS
MATERIAL STEEL ALL
***************************************************
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
***************************************************
LOAD 1 LOADTYPE Dead  TITLE LOAD CASE 1
MEMBER LOAD
1 UNI GY -0.0375
**
LOAD 2 LOADTYPE Live  TITLE LOAD CASE 2
MEMBER LOAD
1 UNI GY -0.0625
**
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
UNIT FEET KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FYLD 7200 ALL
FU 65 ALL
CB 1.3 ALL
LX 210 ALL
UNT 17.5 ALL
UNB 17.5 ALL
MAIN 1 ALL
TRACK 2 ALL
CHECK CODE ALL
***************************************************
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FYLD 7200 ALL
FU 9360 ALL
CB 1.3 ALL
LX 210 ALL
UNT 17.5 ALL
UNB 210 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   W18X50                   (AISC SECTIONS)
                           PASS   Eq. H1-1b            0.924         3
                        0.00            0.00        -266.44       17.50
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    254.294  L/C  :     3                |
| Allowable Slenderness Ratio :    300.000  LOC  :    17.50             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      3    Ratio     :     0.924(PASS)                 |
|          Loc  :   17.50   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:  -2.664E+02               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   8.550E+00     Ayy:   6.390E+00     Cw:  3.046E+03              |
| Szz:   8.889E+01     Syy:   1.069E+01                                 |
| Izz:   8.000E+02     Iyy:   4.010E+01     Ix:  1.240E+00              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        8639.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        35.000                                   |
| 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     6.58     N/A     13.49    T.B4.1-3     |
|                Slender        45.23     N/A     35.88    T.B4.1-10    |
| Flexure     :  Compact         6.58     9.15    24.08    T.B4.1-1     |
|                Compact        45.23    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   6.61E+02   0.000      Eq. D2-1      3     0.00 |
| Rupture     0.00E+00   6.61E+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   5.09E+02   0.000      Sec. E1       3     0.00 |
| Min Buck    0.00E+00   5.14E+01   0.000      Eq. E7-1      3     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   1.93E+02   0.000      Eq. E7-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    9.88E-02    56.93   5.54E+03   1.27E+04   5.65E+02        |
| Min Buck    1.02E-01   254.29   5.59E+02   6.37E+02   5.71E+01        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    1.02E-01   2.10E+03   2.14E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   2.31E+02   0.000      Eq. G2-1      3     0.00 |
| Local-Y     3.05E+01   1.92E+02   0.159      Eq. G2-1      3     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     5.94E-02     1.00     1.20     6.58   2.56E+02            |
| Local-Y     4.44E-02     1.00     0.00    45.23   1.92E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       2.66E+02   3.79E+02   0.703      Eq. F2-1      3    17.50 |
| Minor       0.00E+00   6.23E+01   0.000      Eq. F6-1      3     0.00 |
| Intermediate   Mn        My                                           |
| Major       4.21E+02   0.00E+00                                       |
| Minor       6.92E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       2.66E+02   2.88E+02   0.924      Eq. F2-3      3    17.50 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       3.20E+02   0.00E+00    1.30     5.83    16.97    17.50    |
      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          0.924      Eq. H1-1b     3    17.50             |
| Flexure Tens          0.924      Eq. H1-1b     3    17.50             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         2.88E+02   2.66E+02   5.14E+01                   |
|                      6.23E+01   0.00E+00   0.00E+00                   |
| Flexure Tens         2.88E+02   2.66E+02   6.61E+02                   |
|                      6.23E+01   0.00E+00   0.00E+00                   |
|-----------------------------------------------------------------------|
    65. ***************************************************
    66. LOAD LIST 4
    67. PARAMETER 2
    68. CODE AISC UNIFIED 2005
    69. METHOD ASD
    70. FYLD 7200 ALL
    71. FU 9360 ALL
    72. CB 1.3 ALL
    73. LX 210 ALL
    74. UNT 17.5 ALL
    75. UNB 210 ALL
    76. TRACK 2 ALL
    77. 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   W18X50                   (AISC SECTIONS)
                           PASS   Eq. H1-1b            0.958         4
                        0.00            0.00        -183.75       17.50
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    254.294  L/C  :     4                |
| Allowable Slenderness Ratio :    300.000  LOC  :    17.50             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      4    Ratio     :     0.958(PASS)                 |
|          Loc  :   17.50   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:  -1.838E+02               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   8.550E+00     Ayy:   6.390E+00     Cw:  3.046E+03              |
| Szz:   8.889E+01     Syy:   1.069E+01                                 |
| Izz:   8.000E+02     Iyy:   4.010E+01     Ix:  1.240E+00              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        35.000                                   |
| 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     6.58     N/A     13.49    T.B4.1-3     |
|                Slender        45.23     N/A     35.88    T.B4.1-10    |
| Flexure     :  Compact         6.58     9.15    24.08    T.B4.1-1     |
|                Compact        45.23    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   4.40E+02   0.000      Eq. D2-1      4     0.00 |
| Rupture     0.00E+00   4.78E+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   3.39E+02   0.000      Sec. E1       4     0.00 |
| Min Buck    0.00E+00   3.42E+01   0.000      Eq. E7-1      4     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   1.28E+02   0.000      Eq. E7-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    9.88E-02    56.93   5.54E+03   1.27E+04   5.65E+02        |
| Min Buck    1.02E-01   254.29   5.59E+02   6.37E+02   5.71E+01        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    1.02E-01   2.10E+03   2.14E+02                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   1.54E+02   0.000      Eq. G2-1      4     0.00 |
| Local-Y     2.10E+01   1.28E+02   0.164      Eq. G2-1      4     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     5.94E-02     1.00     1.20     6.58   2.56E+02            |
| Local-Y     4.44E-02     1.00     0.00    45.23   1.92E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       1.84E+02   2.52E+02   0.729      Eq. F2-1      4    17.50 |
| Minor       0.00E+00   4.14E+01   0.000      Eq. F6-1      4     0.00 |
| Intermediate   Mn        My                                           |
| Major       4.21E+02   0.00E+00                                       |
| Minor       6.92E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       1.84E+02   1.92E+02   0.958      Eq. F2-3      4    17.50 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       3.20E+02   0.00E+00    1.30     5.83    16.97    17.50    |
      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          0.958      Eq. H1-1b     4    17.50             |
| Flexure Tens          0.958      Eq. H1-1b     4    17.50             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         1.92E+02   1.84E+02   3.42E+01                   |
|                      4.14E+01   0.00E+00   0.00E+00                   |
| Flexure Tens         1.92E+02   1.84E+02   4.40E+02                   |
|                      4.14E+01   0.00E+00   0.00E+00                   |
|-----------------------------------------------------------------------|