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V. AISC 360-05 2L D.6

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 D.6, pp. D-12,13

Details

From reference (2):

A 2L4×4×2 (3/8-in. separation), ASTM A36, has one line of (8) ¾-in. diameter bolts in standard holes and is 25 ft in length. The double angle is carrying a dead load of 40 kips and a live load of 120 kips in tension. Verify the strength by both LRFD and ASD.

Validation

Refer to reference.

Results

Table 1. Comparison of results
Result Type Reference STAAD.Pro Difference Comments
Tensile yielding ϕtPn (kips) [LRFD] 243 243 none  
Tensile rupture ϕtPn (kips) [LRFD] 272 272 none  
Tensile yielding Pnt (kips) [ASD] 162 162 none  
Tensile rupture Pnt (kips) [ASD] 182 182 none  
Slenderness ratio 248 246.344 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 2L D.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 21-Jan-20
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 25 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 LD L40408 SP 0.03125
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE Dead  TITLE LOAD CASE 1
JOINT LOAD
2 FX 40
LOAD 2 LOADTYPE Live  TITLE LOAD CASE 2
JOINT LOAD
2 FX 120
LOAD COMB 3 LRFD
1 1.2 2 1.6 
LOAD COMB 4 ASD
1 1.0 2 1.0 
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
FU 8352 ALL
FYLD 5184 ALL
METHOD LRFD
TMAIN 300 ALL
NSF 0.884 ALL
SLF 0.944 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FU 8352 ALL
FYLD 5184 ALL
METHOD ASD
TMAIN 300 ALL
NSF 0.884 ALL
SLF 0.944 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 LD   L40408                   (AISC SECTIONS)
                           PASS   Eq. H1-1a            0.988         3
                      240.00 T          0.00           0.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    246.344  L/C  :     3                |
| Allowable Slenderness Ratio :    300.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      3    Ratio     :     0.988(PASS)                 |
|          Loc  :    0.00   Condition :   Eq. H1-1a                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   2.400E+02(T ) Fy:   0.000E+00     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   0.000E+00     Mz:   0.000E+00               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   4.000E+00     Ayy:   2.000E+00     Cw:  0.000E+00              |
| Szz:   3.949E+00     Syy:   6.022E+00                                 |
| Izz:   1.112E+01     Iyy:   2.522E+01     Ix:  6.250E-01              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        5183.999   Fu:        8351.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        25.000                                   |
| Design Parameters                                                     |
| Kz:    1.00 Ky:    1.00 NSF:    0.88 SLF:    0.94 CSP:   12.00        |
|-----------------------------------------------------------------------|
| SECTION CLASS  UNSTIFFENED /     λ       λp      λr        CASE       |
|                STIFFENED                                              |
| Compression :  Non-Slender     8.00     N/A     12.77    T.B4.1-5     |
|                  N/A           N/A      N/A      N/A      N/A         |
| Flexure     :  Compact         8.00    15.33    25.83    T.B4.1-6     |
|                  N/A           N/A      N/A      N/A      N/A         |
      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       2.40E+02   2.43E+02   0.988      Eq. D2-1      3     0.00 |
| Rupture     2.40E+02   2.72E+02   0.882      Eq. D2-2      3     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    0.00E+00   2.79E+01   0.000      Sec. E1       3     0.00 |
| Min Buck    0.00E+00   6.33E+01   0.000      Eq. E3-1      3     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   6.27E+01   0.000      Eq. E4-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    5.21E-02   246.34   5.96E+02   6.79E+02   3.10E+01        |
| Min Buck    5.21E-02   163.64   1.35E+03   1.54E+03   7.03E+01        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    0.00E+00   1.34E+03   6.97E+01                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   7.78E+01   0.000      Eq. G2-1      3     0.00 |
| Local-Y     0.00E+00   3.89E+01   0.000      Eq. G2-1      3     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     2.78E-02     1.00     1.20     8.00   8.64E+01            |
| Local-Y     1.39E-02     1.00     1.20     8.00   4.32E+01            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   1.71E+01   0.000      Eq. F9-1      3     0.00 |
| Minor       0.00E+00   2.60E+01   0.000      Eq. F6-1      3     0.00 |
| Intermediate   Mn        My                                           |
| Major       1.90E+01   0.00E+00                                       |
| Minor       2.89E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   6.81E+01   0.000      Eq. F9-4      3     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       7.56E+01   0.00E+00    1.00     0.00     0.00    25.00    |
      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 FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          0.000      Eq. H2-1      3     0.00             |
| Flexure Tens          0.988      Eq. H1-1a     3     0.00             |
| Intermediate         frbw /     frbz /     fra /                      |
|                      Fcbw       Fcbz       Fca                        |
| Flexure Comp         0.00E+00   0.00E+00   0.00E+00                   |
|                      7.46E+03   7.46E+03   5.36E+02                   |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Tens         1.71E+01   0.00E+00   2.43E+02                   |
|                      2.60E+01   0.00E+00   2.40E+02                   |
|-----------------------------------------------------------------------|
    50. LOAD LIST 4
    51. PARAMETER 2
    52. CODE AISC UNIFIED 2005
    53. FU 8352 ALL
    54. FYLD 5184 ALL
    55. METHOD ASD
    56. TMAIN 300 ALL
    57. NSF 0.884 ALL
    58. SLF 0.944 ALL
    59. TRACK 2 ALL
    60. 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 LD   L40408                   (AISC SECTIONS)
                           PASS   Eq. H1-1a            0.990         4
                      160.00 T          0.00           0.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    246.344  L/C  :     4                |
| Allowable Slenderness Ratio :    300.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      4    Ratio     :     0.990(PASS)                 |
|          Loc  :    0.00   Condition :   Eq. H1-1a                     |
|-----------------------------------------------------------------------|
| DESIGN FORCES                                                         |
| Fx:   1.600E+02(T ) Fy:   0.000E+00     Fz:   0.000E+00               |
| Mx:   0.000E+00     My:   0.000E+00     Mz:   0.000E+00               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   4.000E+00     Ayy:   2.000E+00     Cw:  0.000E+00              |
| Szz:   3.949E+00     Syy:   6.022E+00                                 |
| Izz:   1.112E+01     Iyy:   2.522E+01     Ix:  6.250E-01              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        5183.999   Fu:        8351.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        25.000                                   |
| Design Parameters                                                     |
| Kz:    1.00 Ky:    1.00 NSF:    0.88 SLF:    0.94 CSP:   12.00        |
|-----------------------------------------------------------------------|
| SECTION CLASS  UNSTIFFENED /     λ       λp      λr        CASE       |
|                STIFFENED                                              |
| Compression :  Non-Slender     8.00     N/A     12.77    T.B4.1-5     |
|                  N/A           N/A      N/A      N/A      N/A         |
| Flexure     :  Compact         8.00    15.33    25.83    T.B4.1-6     |
|                  N/A           N/A      N/A      N/A      N/A         |
      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       1.60E+02   1.62E+02   0.990      Eq. D2-1      4     0.00 |
| Rupture     1.60E+02   1.82E+02   0.882      Eq. D2-2      4     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    0.00E+00   1.86E+01   0.000      Sec. E1       4     0.00 |
| Min Buck    0.00E+00   4.21E+01   0.000      Eq. E3-1      4     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   4.17E+01   0.000      Eq. E4-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    5.21E-02   246.34   5.96E+02   6.79E+02   3.10E+01        |
| Min Buck    5.21E-02   163.64   1.35E+03   1.54E+03   7.03E+01        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    0.00E+00   1.34E+03   6.97E+01                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   5.17E+01   0.000      Eq. G2-1      4     0.00 |
| Local-Y     0.00E+00   2.59E+01   0.000      Eq. G2-1      4     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     2.78E-02     1.00     1.20     8.00   8.64E+01            |
| Local-Y     1.39E-02     1.00     1.20     8.00   4.32E+01            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   1.14E+01   0.000      Eq. F9-1      4     0.00 |
| Minor       0.00E+00   1.73E+01   0.000      Eq. F6-1      4     0.00 |
| Intermediate   Mn        My                                           |
| Major       1.90E+01   0.00E+00                                       |
| Minor       2.89E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   4.53E+01   0.000      Eq. F9-4      4     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       7.56E+01   0.00E+00    1.00     0.00     0.00    25.00    |
      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 FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          0.000      Eq. H2-1      4     0.00             |
| Flexure Tens          0.990      Eq. H1-1a     4     0.00             |
| Intermediate         frbw /     frbz /     fra /                      |
|                      Fcbw       Fcbz       Fca                        |
| Flexure Comp         0.00E+00   0.00E+00   0.00E+00                   |
|                      4.97E+03   4.97E+03   3.57E+02                   |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Tens         1.14E+01   0.00E+00   1.62E+02                   |
|                      1.73E+01   0.00E+00   1.60E+02                   |
|-----------------------------------------------------------------------|