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V.AISC 360-16 C Tension ASD

Verify the tensile yield and tensile rupture strength of channel section with ASD method for AISC 360-16 code.

Details

The member is a C5x9 section. Steel grade is ASTM A992. Member is loaded with dead load of 15 kips and live load of 50 kips. The member is welded (i.e., no bolt holes) and the shear lag factor, U, is calculated as 0.908.

Validation

Service load: P = DL + LL = 65 kips

Tensile Yielding

Nominal tensile yield strength:

PnY = FyAg = 50×2.64 = 132 kip [Eqn. D2-1]

PnYtY = 132 / 1.67 = 79.04 kip

Ratio for tensile yield = 65 / 79.04 = 0.822

Tensile Rupture

Net area, An = Ag = 2.64 in2

Effective net area based on D3: Ae = An×U = 2.397 in2

Nominal tensile rupture strength:

PnR = FuAe = 65×2.397 = 155.8 kip [Eqn. D2-2]

PnRtR = 155.8 / 2.00 = 77.9 kip

Ratio for tensile yield = 65 / 77.9 = 0.834

Results

Table 1. Comparison of results
Result Type Reference STAAD.Pro Difference Comments
Tensile yield strength, PnYtY (kip) 79.04 79.04 none  
Ratio 0.822 0.822 none  
Tensile rupture strength, PnRtR (kip) 77.9 77.91 negligible  
Ratio 0.834 0.834 none  

STAAD.Pro Input File

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\360-2016\Tension\AISC 360-16 C Tension ASD.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 20-Feb-18
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 10 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 FY 5184 FU 8352 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST C5X9
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE Dead  TITLE LOAD CASE 1
JOINT LOAD
2 FX 15
LOAD 2 LOADTYPE Live  TITLE LOAD CASE 2
JOINT LOAD
2 FX 50
LOAD COMB 3 COMBINATION LOAD CASE 3
1 1.0 2 1.0 
PERFORM ANALYSIS
PARAMETER 1
CODE AISC UNIFIED 2016
FU 9360 ALL
FYLD 7200 ALL
METHOD ASD
SLF 0.908 ALL
STP 1 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH

STAAD.Pro Output

                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.1)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
 ***NOTE : AISC 360-16 Design Statement for STAAD.Pro.
 *** AXIS CONVENTION ***:
 ========================
 The capacity results and intermediate results in the report follow the notations
 and axes labels as defined in the AISC 360-16 code.
 The analysis results are reported in STAAD.Pro axis convention and the AISC 360:16
 design results are reported in AISC 360-16 code axis convention.
   AISC Spec.      STAAD.Pro      Description
  ------------    -----------     -------------
       X               Z          Axis typically parallel to the sections principal major axis.
       Y               Y          Axis typically parallel to the sections principal minor axis.
       Z               X          Longitudinal axis perpendicular to the cross section.
 SECTION FORCES AXIS MAPPING: -
   AISC Spec.      STAAD.Pro      Description
  ------------    -----------     -------------
       Pz              FX         Axial force.
       Vy              FY         Shear force along minor axis.
       Vx              FZ         Shear force along major axis.
       Tz              MX         Torsional moment.
       My              MY         Bending moment about minor axis.
       Mx              MZ         Bending moment about major axis.
 *** DESIGN MESSAGES ***:
 =======================
    1. Section classification reported is for the cross section and loadcase that
       produced the worst case design ratio for flexure/compression Capacity results.     
    2. Results for any Capacity/Check that is not relevant for a section/loadcase
       based on the code clause in AISC 360-16 will not be shown in the report.     
    3. Bending results are reported as being �about� the relevant axis (X/Y), while 
       the results for shear are reported as being for shear forces �along� the axis.
       E.g : Mx indicates bending about the X axis, while Vx indicates shear along
       the X axis.
 *** ABBREVIATIONS ***:
 ======================
    F-T-B = Flexural-Torsional Buckling
    L-T-B = Lateral-Torsional Buckling
    F-L-B = Flange Local Buckling
    W-L-B = Web Local Buckling
    L-L-B = Leg Local Buckling
    C-F-Y = Compression Flange Yielding
    T-F-Y = Tension Flange Yielding
      STAAD SPACE                                              -- PAGE NO.    4
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.1)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
 - Member :     1 
|-----------------------------------------------------------------------------|
|  Member No:        1       Profile:  ST  C5X9                (AISC SECTIONS)|
|  Status:        PASS       Ratio:         0.834       Loadcase:        3    |
|  Location:      0.00       Ref:      Cl.D2                                  |
|  Pz:       65.00     T     Vy:        0.000           Vx:      0.000        |
|  Tz:       0.000           My:        0.000           Mx:      0.000        |
|-----------------------------------------------------------------------------|
| SLENDERNESS                                                                 |
| Actual Slenderness Ratio    :    246.826                                    |
| Allowable Slenderness Ratio :    300.000            LOC  :     0.00         |
|-----------------------------------------------------------------------------|
| STRENGTH CHECKS                                                             |
| Critical L/C  :      3             Ratio     :        0.834(PASS)           |
|          Loc  :    0.00            Condition :    Cl.D2                     |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES  (LOC:     0.00, PROPERTIES UNIT: IN  )                  |
| Ag  :   2.640E+00     Axx :   1.210E+00     Ayy :   1.625E+00               |
| Ixx :   8.890E+00     Iyy :   6.240E-01     J   :   9.564E-02               |
| Sxx+:   3.556E+00     Sxx-:   3.556E+00     Zxx :   4.390E+00               |
| Syy+:   4.555E-01     Syy-:   1.200E+00     Zyy :   9.130E-01               |
| Cw  :   2.926E+00     x0  :  -9.563E-01     y0  :   0.000E+00               |
|-----------------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                         |
| Fyld:        7200.000              Fu:        9359.999                      |
|-----------------------------------------------------------------------------|
| Actual Member Length:        10.000                                         |
| Design Parameters                                            (Rolled)       |
| Kx:    1.00  Ky:    1.00  NSF:    1.00  SLF:    0.91  CSP:    1.00          |
|-----------------------------------------------------------------------------|
| COMPRESSION CLASSIFICATION (L/C:      1 LOC:   120.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: NonSlender       5.91       N/A      13.49     Table.4.1a.Case1     |
| Web   : NonSlender      13.42       N/A      35.88     Table.4.1a.Case5     |
|                                                                             |
| FLEXURE CLASSIFICATION     (L/C:      1 LOC:   120.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: Compact          5.91       9.15     24.08     Table.4.1b.Case10    |
| Web   : Compact         13.42      90.55    137.27     Table.4.1b.Case15    |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    5
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.1)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL TENSION                            |
|-----------------------------------------------------------------------------|
| TENSILE YIELDING                                                            |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              65.00       79.04       0.822     Cl.D2          3      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom. Ten. Yld Cap         : Pn     =  132.00     kip        Eq.D2-1        |
|-----------------------------------------------------------------------------|
| TENSILE RUPTURE                                                             |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              65.00       77.91       0.834     Cl.D2          3      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective area            : Ae     = 0.16647E-01 ft2        Eq.D3-1        |
|  Nom. Ten. Rpt Cap         : Pn     =  155.81     kip        Eq.D2-2        |
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL COMPRESSION                        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING X                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       57.82       0.000     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective Slenderness     : Lcx/rx =  65.393                Cl.E2          |
|  Elastic Buckling Stress   : Fex    =  9638.2     kip/ft2    Eq.E3-4        |
|  Crit. Buckling Stress     : Fcrx   =  5266.7     kip/ft2    Eq.E3-2        |
|  Nom. Flexural Buckling    : Pnx    =  96.557     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING Y                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       6.513       0.000     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective Slenderness     : Lcy/ry =  246.83                Cl.E2          |
|  Elastic Buckling Stress   : Fey    =  676.52     kip/ft2    Eq.E3-4        |
|  Crit. Buckling Stress     : Fcry   =  593.30     kip/ft2    Eq.E3-3        |
|  Nom. Flexural Buckling    : Pny    =  10.877     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEX-TOR-BUCKLING                                                           |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       53.29       0.000     Cl.E4          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Constant                  : H      = 0.79760                Eq.E4-8        |
|  Euler Buckling Stress     : Fez    =  13580.     kip/ft2    Eq.E4-7        |
|  Elastic F-T-B Stress      : Fe     =  7645.0     kip/ft2    Eq.E4-3        |
|  Crit. F-T-B Stress        : Fcr    =  4854.5     kip/ft2    Eq.E3-2        |
|  Nom. Flex-tor Buckling    : Pn     =  88.998     kip        Eq.E4-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    6
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.1)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR SHEAR                                    |
|-----------------------------------------------------------------------------|
| SHEAR ALONG X                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       21.73       0.000     Cl.G1          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Coefficient Cv Along X    : Cv     =  1.0000                Eq.G2-9        |
|  Coefficient Kv Along X    : Kv     =  1.2000                Cl.G6          |
|  Nom. Shear Along X        : Vnx    =  36.288     kip        Eq.G6-1        |
|-----------------------------------------------------------------------------|
| SHEAR ALONG Y                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       29.19       0.000     Cl.G1          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Coefficient Cv Along Y    : Cv     =  1.0000                -              |
|  Coefficient Kv Along Y    : Kv     =  5.3400                Eq.G2-5        |
|  Nom. Shear Along Y        : Vny    =  48.750     kip        Eq.G2-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    7
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.1)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR BENDING                                  |
|-----------------------------------------------------------------------------|
| FLEX YIELDING (X)                                                           |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       10.95       0.000     Cl.F2.1        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along X : Mnx    =  18.292     kip-ft     Eq.F2-1        |
|-----------------------------------------------------------------------------|
| FLEX. YIELDING (Y)                                                          |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       1.819       0.000     Cl.F6.1        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along Y : Mny    =  3.0369     kip-ft     Eq.F6-1        |
|-----------------------------------------------------------------------------|
| LAT TOR BUCK ABOUT X                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       5.896       0.000     Cl.F2.2        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom L-T-B Cap             : Mnx    =  9.8469     kip-ft     Eq.F2-3        |
|  Mom. Distr. factor        : CbX    =  1.0000                Custom         |
|  Limiting Unbraced Length  : LpX    =  1.7173     ft         Eq.F2-5        |
|  coefficient C             : Cx     =  1.0807                Eq.F2-8b       |
|  Effective Rad. of Gyr.    : Rts    = 0.51367E-01 ft         Eq.F2-7        |
|  Limiting Unbraced Length  : LrX    =  9.5242     ft         Eq.F2-6        |
|  Crit. Elas. L-T-B Stress  : FcrX   =  4785.0     kip/ft2    Eq.F2-4        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    8
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.1)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL BEND INTERACTION                   |
|-----------------------------------------------------------------------------|
| CLAUSE H1                                                                   |
|                            RATIO      CRITERIA           L/C      LOC       |
|                            0.834      Eq.H1-1a            3        0.00     |
|                                                                             |
| Intermediate Results :                                                      |
|  Axial Capacity            : Pc     =  77.906     kip        Cl.H1.1        |
|  Moment Capacity           : Mcx    =  5.8963     kip-ft     Cl.H1.1        |
|  Moment Capacity           : Mcy    =  1.8185     kip-ft     Cl.H1.1        |
|-----------------------------------------------------------------------------|