# V. AISC 360-10 HSSP D.5

Verify the tensile strength a round HSS section per the LRFD and ASD methods of the AISD 360-10 code.

## References

1. American Institute of Steel Construction. 2010 Steel Construction Manual. Fourteenth Edition. AISC: Chicago, IL.
2. American Institute of Steel Construction. 2011. Design Examples, Version 14.0. AISC:Chicago, IL. Example D.5, pp. D-14 - D-16

Note: This reference is freely available for download from the AISC website at https://www.aisc.org/globalassets/aisc/university-programs/teaching-aids/first-semester-design-examples.pdf

## Details

From reference (2):

Verify the tensile strength of an HSS6×0.500, ASTM A500 Grade B, with a length of 30 ft. The member carries a dead load of 40 kips and a live load of 120 kips in tension. Assume the end connection is a fillet welded 1/2-in.- thick single concentric gusset plate with a weld length of 16 in. Assume that the gusset plate and weld are satisfactory.

See example D.5 in reference (2) for calculations.

## Results

Tensile yielding ϕtPn (kips) [LRFD] 306 306 none
Tensile rupture ϕtPn (kips) [LRFD] 329 329 negligible
Tensile yielding Pnt (kips) [ASD] 203 203 none
Tensile rupture Pnt (kips) [ASD] 220 220 none
Slenderness ratio 184 183.316 negligible

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-10 HSSP 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 30 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 HSSP6X0.5
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
2 FX 40
2 FX 120
1 1.2 2 1.6
1 1.0 2 1.0
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
PARAMETER 1
CODE AISC UNIFIED 2010
FU 8352 ALL
FYLD 6048 ALL
METHOD LRFD
TMAIN 300 ALL
NSF 0.936 ALL
SLF 1 ALL
TRACK 2 ALL
CHECK CODE ALL
PARAMETER 2
CODE AISC UNIFIED 2010
FU 8352 ALL
FYLD 6048 ALL
METHOD ASD
TMAIN 300 ALL
NSF 0.936 ALL
SLF 1 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
``````

```                       STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD)   v1.4a
********************************************
ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
FX            MY             MZ       LOCATION
=======================================================================
1 ST   HSSP6X0.5                (AISC SECTIONS)
PASS   Eq. H1-1a            0.785         3
240.00 T          0.00           0.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    183.316  L/C  :     3                |
| Allowable Slenderness Ratio :    300.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      3    Ratio     :     0.785(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:   4.466E+00     Ayy:   4.466E+00     Cw:  0.000E+00              |
| Szz:   1.040E+01     Syy:   1.040E+01                                 |
| Izz:   3.120E+01     Iyy:   3.120E+01     Ix:  6.240E+01              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        6047.999   Fu:        8351.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        30.000                                   |
| Design Parameters                                                     |
| Kz:    1.00 Ky:    1.00 NSF:    0.94 SLF:    1.00 CSP:   12.00        |
|-----------------------------------------------------------------------|
| SECTION CLASS  UNSTIFFENED /     λ       λp      λr        CASE       |
|                STIFFENED                                              |
| Compression :  Non-Slender    12.90     N/A     75.95    T.B4.1(a)-9  |
|                Non-Slender    12.90     N/A     75.95    T.B4.1(a)-9  |
| Flexure     :  Compact        12.90    48.33   214.05    T.B4.1(b)-20 |
|                Compact        12.90    48.33   214.05    T.B4.1(b)-20 |
STAAD SPACE                                              -- PAGE NO.    7
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD)   v1.4a
********************************************
ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION                                               |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Yield       2.40E+02   3.06E+02   0.785      Eq. D2-1      3     0.00 |
| Rupture     2.40E+02   3.29E+02   0.729      Eq. D2-2      3     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    0.00E+00   5.44E+01   0.000      Eq. E3-1      3     0.00 |
| Min Buck    0.00E+00   5.44E+01   0.000      Eq. E3-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    5.62E-02   183.32   1.08E+03   1.23E+03   6.04E+01        |
| Min Buck    5.62E-02   183.32   1.08E+03   1.23E+03   6.04E+01        |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   9.17E+01   0.000      Eq. G6-1      3     0.00 |
| Local-Y     0.00E+00   9.17E+01   0.000      Eq. G6-1      3     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     5.62E-02     0.00     0.00     0.00   1.02E+02            |
| Local-Y     5.62E-02     0.00     0.00     0.00   1.02E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR TORSION                                                     |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
|             0.00E+00   3.93E+01   0.000      Eq. H3-1      3     0.00 |
| Intermediate Fcr        Tn                                            |
|             3.63E+03   4.37E+01                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   4.50E+01   0.000      Eq. F8-1      3     0.00 |
| Minor       0.00E+00   4.50E+01   0.000      Eq. F8-1      3     0.00 |
| Intermediate   Mn        My                                           |
| Major       5.01E+01   0.00E+00                                       |
| Minor       5.01E+01   0.00E+00                                       |
STAAD SPACE                                              -- PAGE NO.    8
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD)   v1.4a
********************************************
ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          0.000      Eq. H1-1b     3     0.00             |
| Flexure Tens          0.785      Eq. H1-1a     3     0.00             |
| Intermediate         Mcx /      Mrx /      Pc /                       |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         4.50E+01   0.00E+00   5.44E+01                   |
|                      4.50E+01   0.00E+00   0.00E+00                   |
| Flexure Tens         4.50E+01   0.00E+00   3.06E+02                   |
|                      4.50E+01   0.00E+00   2.40E+02                   |
|-----------------------------------------------------------------------|
51. PARAMETER 2
52. CODE AISC UNIFIED 2010
53. FU 8352 ALL
54. FYLD 6048 ALL
55. METHOD ASD
56. TMAIN 300 ALL
57. NSF 0.936 ALL
58. SLF 1 ALL
59. TRACK 2 ALL
60. 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.    9
STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD)   v1.4a
********************************************
ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
FX            MY             MZ       LOCATION
=======================================================================
1 ST   HSSP6X0.5                (AISC SECTIONS)
PASS   Eq. H1-1a            0.786         4
160.00 T          0.00           0.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    183.316  L/C  :     4                |
| Allowable Slenderness Ratio :    300.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      4    Ratio     :     0.786(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:   4.466E+00     Ayy:   4.466E+00     Cw:  0.000E+00              |
| Szz:   1.040E+01     Syy:   1.040E+01                                 |
| Izz:   3.120E+01     Iyy:   3.120E+01     Ix:  6.240E+01              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        6047.999   Fu:        8351.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        30.000                                   |
| Design Parameters                                                     |
| Kz:    1.00 Ky:    1.00 NSF:    0.94 SLF:    1.00 CSP:   12.00        |
|-----------------------------------------------------------------------|
| SECTION CLASS  UNSTIFFENED /     λ       λp      λr        CASE       |
|                STIFFENED                                              |
| Compression :  Non-Slender    12.90     N/A     75.95    T.B4.1(a)-9  |
|                Non-Slender    12.90     N/A     75.95    T.B4.1(a)-9  |
| Flexure     :  Compact        12.90    48.33   214.05    T.B4.1(b)-20 |
|                Compact        12.90    48.33   214.05    T.B4.1(b)-20 |
STAAD SPACE                                              -- PAGE NO.   10
STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD)   v1.4a
********************************************
ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION                                               |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Yield       1.60E+02   2.03E+02   0.786      Eq. D2-1      4     0.00 |
| Rupture     1.60E+02   2.20E+02   0.729      Eq. D2-2      4     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    0.00E+00   3.62E+01   0.000      Eq. E3-1      4     0.00 |
| Min Buck    0.00E+00   3.62E+01   0.000      Eq. E3-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    5.62E-02   183.32   1.08E+03   1.23E+03   6.04E+01        |
| Min Buck    5.62E-02   183.32   1.08E+03   1.23E+03   6.04E+01        |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   6.10E+01   0.000      Eq. G6-1      4     0.00 |
| Local-Y     0.00E+00   6.10E+01   0.000      Eq. G6-1      4     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     5.62E-02     0.00     0.00     0.00   1.02E+02            |
| Local-Y     5.62E-02     0.00     0.00     0.00   1.02E+02            |
|-----------------------------------------------------------------------|
| CHECK FOR TORSION                                                     |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
|             0.00E+00   2.62E+01   0.000      Eq. H3-1      4     0.00 |
| Intermediate Fcr        Tn                                            |
|             3.63E+03   4.37E+01                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   3.00E+01   0.000      Eq. F8-1      4     0.00 |
| Minor       0.00E+00   3.00E+01   0.000      Eq. F8-1      4     0.00 |
| Intermediate   Mn        My                                           |
| Major       5.01E+01   0.00E+00                                       |
| Minor       5.01E+01   0.00E+00                                       |
STAAD SPACE                                              -- PAGE NO.   11
STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD)   v1.4a
********************************************
ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION                               |
|                       RATIO      CRITERIA    L/C     LOC              |
| Flexure Comp          0.000      Eq. H1-1b     4     0.00             |
| Flexure Tens          0.786      Eq. H1-1a     4     0.00             |
| Intermediate         Mcx /      Mrx /      Pc /                       |
|                      Mcy        Mry        Pr                         |
| Flexure Comp         3.00E+01   0.00E+00   3.62E+01                   |
|                      3.00E+01   0.00E+00   0.00E+00                   |
| Flexure Tens         3.00E+01   0.00E+00   2.03E+02                   |
|                      3.00E+01   0.00E+00   1.60E+02                   |
|-----------------------------------------------------------------------|
```