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V. AISC 360-05 HSSP Shear Capacity G.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 G.5, pp.G-9,10

Details

From reference (2):

Verify the shear strength of a round HSS16.000×0.375 ASTM A500 grade B member spanning 32 feet with end shears of 30 kips from dead load and 90 kips from live load.

Validation

Ultimate load:

V u = 1.2 ( 30.0  kips ) + 1.6 ( 90.0  kips ) = 180  kips

Service load:

V a = 30.0  kips + 90.0  kips = 120  kips

Shear Buckling Stress

Fcr=|1.60ELvD(Dt)5/4=1.60(29,000)19216.0(16.00.349)5/4=112 ksi0.78E(Dt)3/2=0.78(29,000)(16.00.349)3/2=72.9 ksimax

The maximum permitted value is Fcr0.6Fy=0.6(42)=25.2 ksi (governs).

Nominal Shear Strength

Vn=FcrAg/2=(25.2)(17.2)/2=217 kips(Eq. G2-1)

The available shear strength:

LRFD: ϕvVn=0.90(217)=195 kips

ASD: Vn/Ωv=2171.67=130 kips

Result Type Reference STAAD.Pro Difference Comments
ϕvVn (kips) [LRFD] 195 195 none  
Vnv (kips) [ASD] 130 130 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 HSSP Shear Capacity G.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 20-May-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 32 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 HSSP16X0.375
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
LOAD 1 LOADTYPE Dead  TITLE LOAD CASE 1
MEMBER LOAD
UNIT INCHES KIP
1 UNI GY -0.15625
UNIT FEET KIP
LOAD 2 LOADTYPE Live  TITLE LOAD CASE 2
MEMBER LOAD
UNIT INCHES KIP
1 UNI GY -0.46875
UNIT FEET KIP
LOAD COMB 3 LRFD LOAD
1 1.2 2 1.6 
LOAD COMB 4 ASD LOAD
1 1.0 2 1.0 
PERFORM ANALYSIS
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FYLD 42 ALL
FU 58 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FYLD 42 ALL
FU 58 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  INCH (UNLESS OTHERWISE Noted)
 MEMBER     TABLE       RESULT/   CRITICAL COND/     RATIO/     LOADING/
                          FX            MY             MZ       LOCATION
 =======================================================================
 *     1 ST   HSSP16X0.375             (AISC SECTIONS)
                           FAIL   Eq. H1-1b            5.347         3
                        0.00            0.00      -17280.00      192.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :     69.439  L/C  :     3                |
| Allowable Slenderness Ratio :    300.000  LOC  :   192.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      3    Ratio     :     5.347(FAIL)                 |
|          Loc  :  192.00   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:  -1.728E+04               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   8.728E+00     Ayy:   8.728E+00     Cw:  0.000E+00              |
| Szz:   6.575E+01     Syy:   6.575E+01                                 |
| Izz:   5.260E+02     Iyy:   5.260E+02     Ix:  1.052E+03              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:          42.000   Fu:          58.000                           |
|-----------------------------------------------------------------------|
| Actual Member Length:       384.000                                   |
| 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    45.85     N/A     75.95    T.B4.1-15a   |
|                Non-Slender    45.85     N/A     75.95    T.B4.1-15a   |
| Flexure     :  Compact        45.85    48.33   214.05    T.B4.1-15b   |
|                Compact        45.85    48.33   214.05    T.B4.1-15b   |
      STAAD SPACE                                              -- PAGE NO.    4
                       STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION                                               |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Yield       0.00E+00   6.50E+02   0.000      Eq. D2-1      3     0.00 |
| Rupture     0.00E+00   7.48E+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   4.84E+02   0.000      Sec. E1       3     0.00 |
| Min Buck    0.00E+00   4.84E+02   0.000      Eq. E3-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    1.72E+01    69.44   3.12E+01   5.94E+01   5.37E+02        |
| Min Buck    1.72E+01    69.44   3.12E+01   5.94E+01   5.37E+02        |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   1.95E+02   0.000      Eq. G6-1      3     0.00 |
| Local-Y     1.80E+02   1.95E+02   0.923      Eq. G6-1      3     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     1.72E+01     0.00     0.00     0.00   2.17E+02            |
| Local-Y     1.72E+01     0.00     0.00     0.00   2.17E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR TORSION                                                     |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
|             0.00E+00   2.97E+03   0.000      Eq. H3-1      3     0.00 |
| Intermediate Fcr        Tn                                            |
|             2.52E+01   3.30E+03                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       1.73E+04   3.23E+03   5.347      Eq. F8-1      3   192.00 |
| Minor       0.00E+00   3.23E+03   0.000      Eq. F8-1      3     0.00 |
| Intermediate   Mn        My                                           |
| Major       3.59E+03   0.00E+00                                       |
| Minor       3.59E+03   0.00E+00                                       |
      STAAD SPACE                                              -- PAGE NO.    5
                       STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          5.347      Eq. H1-1b     3   192.00             |
| Flexure Tens          5.347      Eq. H1-1b     3   192.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         3.23E+03   1.73E+04   4.84E+02                   |
|                      3.23E+03   0.00E+00   0.00E+00                   |
| Flexure Tens         3.23E+03   1.73E+04   6.50E+02                   |
|                      3.23E+03   0.00E+00   0.00E+00                   |
|-----------------------------------------------------------------------|
    52. LOAD LIST 4
    53. PARAMETER 2
    54. CODE AISC UNIFIED 2005
    55. METHOD ASD
    56. FYLD 42 ALL
    57. FU 58 ALL
    58. TRACK 2 ALL
    59. CHECK CODE ALL
 STEEL DESIGN    
   WARNING: For member#      1 the profile has been selected from HSS Rect/Round (non A1085)/Pipe 
            tables of AISC database. Weld type is considered to be Elect-resist-weld.
            Thickness is already reduced from the table. Further reductions will not be done.
      STAAD SPACE                                              -- PAGE NO.    6
                       STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted)
 MEMBER     TABLE       RESULT/   CRITICAL COND/     RATIO/     LOADING/
                          FX            MY             MZ       LOCATION
 =======================================================================
 *     1 ST   HSSP16X0.375             (AISC SECTIONS)
                           FAIL   Eq. H1-1b            5.357         4
                        0.00            0.00      -11520.00      192.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :     69.439  L/C  :     4                |
| Allowable Slenderness Ratio :    300.000  LOC  :   192.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      4    Ratio     :     5.357(FAIL)                 |
|          Loc  :  192.00   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:  -1.152E+04               |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES  (UNIT: INCH)                                      |
| Azz:   8.728E+00     Ayy:   8.728E+00     Cw:  0.000E+00              |
| Szz:   6.575E+01     Syy:   6.575E+01                                 |
| Izz:   5.260E+02     Iyy:   5.260E+02     Ix:  1.052E+03              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:          42.000   Fu:          58.000                           |
|-----------------------------------------------------------------------|
| Actual Member Length:       384.000                                   |
| 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    45.85     N/A     75.95    T.B4.1-15a   |
|                Non-Slender    45.85     N/A     75.95    T.B4.1-15a   |
| Flexure     :  Compact        45.85    48.33   214.05    T.B4.1-15b   |
|                Compact        45.85    48.33   214.05    T.B4.1-15b   |
      STAAD SPACE                                              -- PAGE NO.    7
                       STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION                                               |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Yield       0.00E+00   4.33E+02   0.000      Eq. D2-1      4     0.00 |
| Rupture     0.00E+00   4.99E+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   3.22E+02   0.000      Sec. E1       4     0.00 |
| Min Buck    0.00E+00   3.22E+02   0.000      Eq. E3-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    1.72E+01    69.44   3.12E+01   5.94E+01   5.37E+02        |
| Min Buck    1.72E+01    69.44   3.12E+01   5.94E+01   5.37E+02        |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   1.30E+02   0.000      Eq. G6-1      4     0.00 |
| Local-Y     1.20E+02   1.30E+02   0.925      Eq. G6-1      4     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     1.72E+01     0.00     0.00     0.00   2.17E+02            |
| Local-Y     1.72E+01     0.00     0.00     0.00   2.17E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR TORSION                                                     |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
|             0.00E+00   1.98E+03   0.000      Eq. H3-1      4     0.00 |
| Intermediate Fcr        Tn                                            |
|             2.52E+01   3.30E+03                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       1.15E+04   2.15E+03   5.357      Eq. F8-1      4   192.00 |
| Minor       0.00E+00   2.15E+03   0.000      Eq. F8-1      4     0.00 |
| Intermediate   Mn        My                                           |
| Major       3.59E+03   0.00E+00                                       |
| Minor       3.59E+03   0.00E+00                                       |
      STAAD SPACE                                              -- PAGE NO.    8
                       STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD)   v3.3a
                       ********************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          5.357      Eq. H1-1b     4   192.00             |
| Flexure Tens          5.357      Eq. H1-1b     4   192.00             |
| Intermediate         Mcx        Mrx        Pc                         |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         2.15E+03   1.15E+04   3.22E+02                   |
|                      2.15E+03   0.00E+00   0.00E+00                   |
| Flexure Tens         2.15E+03   1.15E+04   4.33E+02                   |
|                      2.15E+03   0.00E+00   0.00E+00                   |
|-----------------------------------------------------------------------|