# V. AISC 360-10 WT D.3

Verify the tensile strength a WT 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.3, pp. D-8 - D-10

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):

A WT6×20, ASTM A992 member has a length of 30 ft and carries a dead load of 40 kips and a live load of 120 kips in tension. The end connection is fillet welded on each side for 16 in. Verify the member tensile strength by both LRFD and ASD. Assume that the gusset plate and the weld are satisfactory.

See example D.3 in reference (2) for calculations.

## Results

Tensile yielding ϕtPn (kips) [LRFD] 263 263 none
Tensile rupture ϕtPn (kips) [LRFD] 266 266 none
Tensile yielding Pnt (kips) [ASD] 175 175 none
Tensile rupture Pnt (kips) [ASD] 177 177 none
Slenderness ratio 229 230.607 negligible

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-10 WT 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 T W12X40
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 9360 ALL
FYLD 7200 ALL
METHOD LRFD
TMAIN 300 ALL
NSF 1 ALL
SLF 0.932 ALL
TRACK 2 ALL
CHECK CODE ALL
PARAMETER 2
CODE AISC UNIFIED 2010
FU 9360 ALL
FYLD 7200 ALL
METHOD ASD
TMAIN 300 ALL
NSF 1 ALL
SLF 0.932 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 T    W12X40                   (AISC SECTIONS)
PASS   Eq. Sec. D2          0.912         3
240.00 T          0.00           0.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    230.607  L/C  :     3                |
| Allowable Slenderness Ratio :    300.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      3    Ratio     :     0.912(PASS)                 |
|          Loc  :    0.00   Condition :   Eq. Sec. D2                   |
|-----------------------------------------------------------------------|
| 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:   4.125E+00     Ayy:   1.755E+00     Cw:  6.190E-01              |
| Szz:   2.920E+00     Syy:   5.506E+00                                 |
| Izz:   1.426E+01     Iyy:   2.205E+01     Ix:  4.530E-01              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        30.000                                   |
| Design Parameters                                                     |
| Kz:    1.00 Ky:    1.00 NSF:    1.00 SLF:    0.93 CSP:   12.00        |
|-----------------------------------------------------------------------|
| SECTION CLASS  UNSTIFFENED /     λ       λp      λr        CASE       |
|                STIFFENED                                              |
| Compression :  Slender        20.17     N/A     18.06    T.B4.1(a)-4  |
|                  N/A           N/A      N/A      N/A      N/A         |
| Flexure     :  Compact         7.78     9.15    24.08    T.B4.1(b)-10 |
|                Compact        20.17    20.23    24.81    T.B4.1(b)-14 |
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   2.63E+02   0.912      Eq. D2-1      3     0.00 |
| Rupture     2.40E+02   2.66E+02   0.903      Eq. D2-2      3     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    0.00E+00   2.49E+01   0.000      Eq. E7-1      3     0.00 |
| Min Buck    0.00E+00   3.84E+01   0.000      Eq. E7-1      3     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   3.82E+01   0.000      Eq. E7-1      3     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    4.06E-02   230.61   6.80E+02   7.75E+02   2.76E+01        |
| Min Buck    4.06E-02   185.43   1.05E+03   1.20E+03   4.27E+01        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    4.06E-02   1.04E+03   4.24E+01                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   1.11E+02   0.000      Eq. G2-1      3     0.00 |
| Local-Y     0.00E+00   4.74E+01   0.000      Eq. G2-1      3     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     2.86E-02     1.00     1.20     7.78   1.24E+02            |
| Local-Y     1.22E-02     1.00     1.20    20.17   5.27E+01            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   1.75E+01   0.000      Eq. F9-1      3     0.00 |
| Minor       0.00E+00   3.15E+01   0.000      Eq. F6-1      3     0.00 |
| Intermediate   Mn        My                                           |
| Major       1.95E+01   0.00E+00                                       |
| Minor       3.50E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   4.84E+01   0.000      Eq. F9-4      3     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       5.37E+01   0.00E+00    1.00     0.00     0.00    30.00    |
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. H2-1      3     0.00             |
| Flexure Tens          0.912      Eq. H2-1      3     0.00             |
| Intermediate         frbw /     frbz /     fra /                      |
|                      Fcbw       Fcbz       Fca                        |
| Flexure Comp         0.00E+00   0.00E+00   0.00E+00                   |
|                      1.04E+04   9.89E+03   6.12E+02                   |
| Flexure Tens         0.00E+00   0.00E+00   5.91E+03                   |
|                      2.27E+03   9.89E+03   6.48E+03                   |
|-----------------------------------------------------------------------|
51. PARAMETER 2
52. CODE AISC UNIFIED 2010
53. FU 9360 ALL
54. FYLD 7200 ALL
55. METHOD ASD
56. TMAIN 300 ALL
57. NSF 1 ALL
58. SLF 0.932 ALL
59. TRACK 2 ALL
60. CHECK CODE ALL
STEEL DESIGN
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 T    W12X40                   (AISC SECTIONS)
PASS   Eq. H2-1             0.914         4
160.00 T          0.00           0.00        0.00
|-----------------------------------------------------------------------|
| SLENDERNESS                                                           |
| Actual Slenderness Ratio    :    230.607  L/C  :     4                |
| Allowable Slenderness Ratio :    300.000  LOC  :     0.00             |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS                                                       |
| Critical L/C  :      4    Ratio     :     0.914(PASS)                 |
|          Loc  :    0.00   Condition :   Eq. H2-1                      |
|-----------------------------------------------------------------------|
| 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:   4.125E+00     Ayy:   1.755E+00     Cw:  6.190E-01              |
| Szz:   2.920E+00     Syy:   5.506E+00                                 |
| Izz:   1.426E+01     Iyy:   2.205E+01     Ix:  4.530E-01              |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                   |
| Fyld:        7199.999   Fu:        9359.999                           |
|-----------------------------------------------------------------------|
| Actual Member Length:        30.000                                   |
| Design Parameters                                                     |
| Kz:    1.00 Ky:    1.00 NSF:    1.00 SLF:    0.93 CSP:   12.00        |
|-----------------------------------------------------------------------|
| SECTION CLASS  UNSTIFFENED /     λ       λp      λr        CASE       |
|                STIFFENED                                              |
| Compression :  Slender        20.17     N/A     18.06    T.B4.1(a)-4  |
|                  N/A           N/A      N/A      N/A      N/A         |
| Flexure     :  Compact         7.78     9.15    24.08    T.B4.1(b)-10 |
|                Compact        20.17    20.23    24.81    T.B4.1(b)-14 |
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   1.75E+02   0.914      Eq. D2-1      4     0.00 |
| Rupture     1.60E+02   1.77E+02   0.903      Eq. D2-2      4     0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION                                           |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Maj Buck    0.00E+00   1.65E+01   0.000      Eq. E7-1      4     0.00 |
| Min Buck    0.00E+00   2.56E+01   0.000      Eq. E7-1      4     0.00 |
| Flexural                                                              |
| Tor Buck    0.00E+00   2.54E+01   0.000      Eq. E7-1      4     0.00 |
| Intermediate                                                          |
| Results     Eff Area     KL/r      Fcr        Fe         Pn           |
| Maj Buck    4.06E-02   230.61   6.80E+02   7.75E+02   2.76E+01        |
| Min Buck    4.06E-02   185.43   1.05E+03   1.20E+03   4.27E+01        |
| Flexural       Ag       Fcr        Pn                                 |
| Tor Buck    4.06E-02   1.04E+03   4.24E+01                            |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR                                                       |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Local-Z     0.00E+00   7.41E+01   0.000      Eq. G2-1      4     0.00 |
| Local-Y     0.00E+00   3.15E+01   0.000      Eq. G2-1      4     0.00 |
| Intermediate                                                          |
| Results        Aw        Cv       Kv      h/tw      Vn                |
| Local-Z     2.86E-02     1.00     1.20     7.78   1.24E+02            |
| Local-Y     1.22E-02     1.00     1.20    20.17   5.27E+01            |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING                                            |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   1.17E+01   0.000      Eq. F9-1      4     0.00 |
| Minor       0.00E+00   2.10E+01   0.000      Eq. F6-1      4     0.00 |
| Intermediate   Mn        My                                           |
| Major       1.95E+01   0.00E+00                                       |
| Minor       3.50E+01   0.00E+00                                       |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING                          |
|                                                                       |
|              FORCE     CAPACITY   RATIO      CRITERIA     L/C    LOC  |
| Major       0.00E+00   3.22E+01   0.000      Eq. F9-4      4     0.00 |
| Intermediate   Mn        Me        Cb      Lp       Lr       Lb       |
| Major       5.37E+01   0.00E+00    1.00     0.00     0.00    30.00    |
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. H2-1      4     0.00             |
| Flexure Tens          0.914      Eq. H2-1      4     0.00             |
| Intermediate         frbw /     frbz /     fra /                      |
|                      Fcbw       Fcbz       Fca                        |
| Flexure Comp         0.00E+00   0.00E+00   0.00E+00                   |
|                      6.90E+03   6.58E+03   4.07E+02                   |
| Flexure Tens         0.00E+00   0.00E+00   3.94E+03                   |
|                      1.51E+03   6.58E+03   4.31E+03                   |
|-----------------------------------------------------------------------|
```