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V. AISC 360-16 W Compression and Biaxial Bending H1.B

Determine the interaction ratio of a wide-flange section subject to combined axial force and moment using both LRFD and ASD methods per AISC 360-16.

Reference

  1. Steel Construction Manual, 15th Edition, American Institute of Steel Construction, 2017, pp. H-4 - H-5, Example H.1B.

Details

A 14 foot long, simple span beam is subject to the following loads. The section used is a W14x99 and the material is ASTM A992.

  • Ultimate loads for LRFD method:
    • required axial strength, Pr = 400 kips
    • required major axis flexure strength, Mrx = 250 ft·kips
    • required minor axis flexure strength Mry= 80 ft·kips
  • Service loads for ASD method:
    • required axial strength, Pr = 267 kips
    • required major axis flexure strength, Mrx = 167 ft·kips
    • required minor axis flexure strength Mry= 53.3 ft·kips
Note: A general load factor of 1.5 is used on the service loads to obtain the ultimate loads.

Validation

Section Capacities

Compression capacities taken from Table 4-1 in Ref. 1:

  • ϕcPn = 1,130 kips
  • Pnc = 751 kips

Major axis bending capacities taken from Table 3-10 in Ref. 1:

  • ϕMnx = 642 ft·kips
  • Mnx/Ω = 428 ft·kips

Minor axis bending capacity calculated per section F6:

Flanges of a W14x99 are noncompact per Table 1-1 of Ref 1:

λ pf = 0.38 E F y = 0.38 29,000 50 = 9.15 < λ = b f 2 t f = 9.34 < λ rf = 1.0 E F y = 1.0 29,000 50 = 24.1

The plastic yielding capacity of the flange is:

M p = F y Z y = 50 83.6 = 4,180  in·k < 1.6 F y S y = 1.6 50 55.2 = 4,416  in·k (F6-1)

The local buckling capacity of the noncompact flange is:

M ny = M p - M p - 0.7 F y S y λ - λ pf λ rf - λ pf (F6-2)
= 4,180 - 4,180 - 0.7 50 55.2 9.34 - 9.15 24.1 - 9.15 = 4,151  in·k = 346  ft·kips
  • ϕMny = 311 ft·kips
  • Mny/Ω = 207 in·kips

Flexure and Compression Interaction

Available axial strength, Pc:

  • LRFD: P c = ϕ c P n = 1,130  kips
  • ASD: P c = P n Ω c = 751  kips

Available flexural strength, Pc:

  • LRFD: M cx = ϕ b M nx = 642  ft·kips , M cy = ϕ b M ny = 311  ft·kips
  • ASD: M cx = M nx Ω b = 428  ft·kips , M cy = M ny Ω b = 207  ft·kips

Equation:

  • LRFD: P r P c = 400 1,130 = 0.354 , use equation H1-1a
    P r P c + 8 9 M rx M cx + M ry M cy = 0.354 + 8 9 250 642 + 80 311 = 0.929 < 1.0
  • ASD: P r P c = 267 751 = 0.356 , use equation H1-1a
    P r P c + 8 9 M rx M cx + M ry M cy = 0.356 + 8 9 167 428 + 53.3 207 = 0.931 < 1.0

Results

Result Type Reference STAAD.Pro Difference Comments
Interaction check per Eqn. H1-1a (LRFD) 0.929 0.929 none  
Interaction check per Eqn. H1-1a (ASD) 0.931 0.932 negligible  

STAAD.Pro Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-16 W Compression and Biaxial Bending H1.STD is typically installed with the program.

The following design parameters are used:

  • The value of SGR 28 specifies the use of ASTM A992 grade steel.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 01-Sep-22
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 14 0; 2 0 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6e-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 W14X99
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
2 PINNED
1 FIXED BUT FY MX MZ
LOAD 1 LOADTYPE None  TITLE LOAD CASE 1
JOINT LOAD
1 FY -400 MX 80 MZ 250
LOAD 2 LOADTYPE None  TITLE LOAD CASE 2
JOINT LOAD
1 FY -267 MX 53.3 MZ 167
PERFORM ANALYSIS
LOAD LIST 1
PARAMETER 1
CODE AISC UNIFIED 2016
METHOD LRFD
SGR 28 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 2
PARAMETER 2
CODE AISC UNIFIED 2016
METHOD ASD
SGR 28 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH

STAAD.Pro Output

                       STAAD.PRO CODE CHECKING - AISC 360-16 LRFD (V1.2)
                     *****************************************************
 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 LRFD (V1.2)
                     *****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
 - Member :     1 
|-----------------------------------------------------------------------------|
|  Member No:        1       Profile:  ST  W14X99              (AISC SECTIONS)|
|  Status:        PASS       Ratio:         0.929       Loadcase:        1    |
|  Location:      0.00       Ref:      Eq.H1-1a                               |
|  Pz:       400.0     C     Vy:        17.86           Vx:     -5.714        |
|  Tz:       0.000           My:        80.00           Mx:      250.0        |
|-----------------------------------------------------------------------------|
| COMPRESSION SLENDERNESS                                                     |
| Actual Slenderness Ratio    :     45.200                                    |
| Allowable Slenderness Ratio :    200.000            LOC  :     0.00         |
|-----------------------------------------------------------------------------|
| STRENGTH CHECKS                                                             |
| Critical L/C  :      1             Ratio     :        0.929(PASS)           |
|          Loc  :    0.00            Condition :    Eq.H1-1a                  |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES  (LOC:     0.00, PROPERTIES UNIT: IN  )                  |
| Ag  :   2.910E+01     Axx :   2.278E+01     Ayy :   6.887E+00               |
| Ixx :   1.110E+03     Iyy :   4.020E+02     J   :   5.370E+00               |
| Sxx+:   1.563E+02     Sxx-:   1.563E+02     Zxx :   1.730E+02               |
| Syy+:   5.507E+01     Syy-:   5.507E+01     Zyy :   8.360E+01               |
| Cw  :   1.822E+04     x0  :   0.000E+00     y0  :   8.882E-16               |
|-----------------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                         |
| Fyld:        7200.000              Fu:        9359.999                      |
|-----------------------------------------------------------------------------|
| Actual Member Length:        14.000                                         |
| Design Parameters                                            (Rolled)       |
| Kx:    1.00  Ky:    1.00  NSF:    1.00  SLF:    1.00  CSP:    1.00          |
|-----------------------------------------------------------------------------|
| COMPRESSION CLASSIFICATION (L/C:      1 LOC:   168.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: NonSlender       9.36       N/A      13.49     Table.B4.1a.Case1    |
| Web   : NonSlender      23.59       N/A      35.88     Table.B4.1a.Case5    |
|                                                                             |
| FLEXURE CLASSIFICATION     (L/C:      1 LOC:   168.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: NonCompact       9.36       9.15     24.08     Table.B4.1b.Case10   |
| Web   : Compact         23.59      90.55    137.27     Table.B4.1b.Case15   |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    5
                       STAAD.PRO CODE CHECKING - AISC 360-16 LRFD (V1.2)
                     *****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL TENSION                            |
|-----------------------------------------------------------------------------|
| TENSILE YIELDING                                                            |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       1310.       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom. Ten. Yld Cap         : Pn     =  1455.0     kip        Eq.D2-1        |
|-----------------------------------------------------------------------------|
| TENSILE RUPTURE                                                             |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       1419.       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective area            : Ae     = 0.20208     ft2        Eq.D3-1        |
|  Nom. Ten. Rpt Cap         : Pn     =  1891.5     kip        Eq.D2-2        |
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL COMPRESSION                        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING X                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              400.0       1241.       0.322     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective Slenderness     : Lcx/rx =  27.202                Cl.E2          |
|  Elastic Buckling Stress   : Fex    =  55702.     kip/ft2    Eq.E3-4        |
|  Crit. Buckling Stress     : Fcrx   =  6820.8     kip/ft2    Eq.E3-2        |
|  Nom. Flexural Buckling    : Pnx    =  1378.4     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING Y                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              400.0       1128.       0.355     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective Slenderness     : Lcy/ry =  45.200                Cl.E2          |
|  Elastic Buckling Stress   : Fey    =  20173.     kip/ft2    Eq.E3-4        |
|  Crit. Buckling Stress     : Fcry   =  6200.9     kip/ft2    Eq.E3-2        |
|  Nom. Flexural Buckling    : Pny    =  1253.1     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL-TORSIONAL-BUCKLING                                                 |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              400.0       1151.       0.348     Cl.E4          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Elastic F-T-B Stress      : Fe     =  23321.     kip/ft2    Eq.E4-2        |
|  Crit. F-T-B Stress        : Fcr    =  6327.2     kip/ft2    Eq.E3-2        |
|  Nom. Flex-tor Buckling    : Pn     =  1278.6     kip        Eq.E4-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    6
                       STAAD.PRO CODE CHECKING - AISC 360-16 LRFD (V1.2)
                     *****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR SHEAR                                    |
|-----------------------------------------------------------------------------|
| SHEAR ALONG X                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              5.714       615.0       0.009     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    =  683.28     kip        Eq.G6-1        |
|-----------------------------------------------------------------------------|
| SHEAR ALONG Y                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              17.86       206.6       0.086     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    =  206.61     kip        Eq.G2-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    7
                       STAAD.PRO CODE CHECKING - AISC 360-16 LRFD (V1.2)
                     *****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR BENDING                                  |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (Y)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             -80.00       313.5       0.255     Cl.F6.1        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along Y : Mny    =  348.33     kip-ft     Eq.F6-1        |
|-----------------------------------------------------------------------------|
| LAT TOR BUCK ABOUT X                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              250.0       642.3       0.389     Cl.F2.2        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom L-T-B Cap             : Mnx    =  713.71     kip-ft     Eq.F2-2        |
|  Mom. Distr. factor        : CbX    =  1.0000                Custom         |
|  Limiting Unbraced Length  : LpX    =  13.128     ft         Eq.F2-5        |
|  coefficient C             : Cx     =  1.0000                Eq.F2-8a       |
|  Effective Rad. of Gyr.    : Rts    = 0.34670     ft         Eq.F2-7        |
|  Limiting Unbraced Length  : LrX    =  45.539     ft         Eq.F2-6        |
|-----------------------------------------------------------------------------|
| FLANGE LOCAL BUCK(X)                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              250.0       645.4       0.387     Cl.F3.1        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom F-L-B Cap             : Mnx    =  717.16     kip-ft     Eq.F3-1        |
|-----------------------------------------------------------------------------|
| FLANGE LOCAL BUCK(Y)                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             -80.00       311.2       0.257     Cl.F6.2        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom F-L-B Cap             : Mny    =  345.73     kip-ft     Eq.F6-2        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    8
                       STAAD.PRO CODE CHECKING - AISC 360-16 LRFD (V1.2)
                     *****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL BEND INTERACTION                   |
|-----------------------------------------------------------------------------|
| COMBINED FORCES CLAUSE H1                                                   |
|                            RATIO      CRITERIA           L/C      LOC       |
|                            0.929      Eq.H1-1a            1        0.00     |
|                                                                             |
| Intermediate Results :                                                      |
|  Axial Capacity            : Pc     =  1127.8     kip        Cl.H1.1        |
|  Moment Capacity           : Mcx    =  642.34     kip-ft     Cl.H1.1        |
|  Moment Capacity           : Mcy    =  311.15     kip-ft     Cl.H1.1        |
|-----------------------------------------------------------------------------|
    42. LOAD LIST 2
    43. PARAMETER 2
    44. CODE AISC UNIFIED 2016
    45. METHOD ASD
    46. SGR 28 ALL
    47. TRACK 2 ALL
    48. CHECK CODE ALL
 PARAMETER 2       
      STAAD SPACE                                              -- PAGE NO.    9
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.2)
                     ****************************************************
 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.   10
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.2)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
 - Member :     1 
|-----------------------------------------------------------------------------|
|  Member No:        1       Profile:  ST  W14X99              (AISC SECTIONS)|
|  Status:        PASS       Ratio:         0.932       Loadcase:        2    |
|  Location:      0.00       Ref:      Eq.H1-1a                               |
|  Pz:       267.0     C     Vy:        11.93           Vx:     -3.807        |
|  Tz:       0.000           My:        53.30           Mx:      167.0        |
|-----------------------------------------------------------------------------|
| COMPRESSION SLENDERNESS                                                     |
| Actual Slenderness Ratio    :     45.200                                    |
| Allowable Slenderness Ratio :    200.000            LOC  :     0.00         |
|-----------------------------------------------------------------------------|
| STRENGTH CHECKS                                                             |
| Critical L/C  :      2             Ratio     :        0.932(PASS)           |
|          Loc  :    0.00            Condition :    Eq.H1-1a                  |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES  (LOC:     0.00, PROPERTIES UNIT: IN  )                  |
| Ag  :   2.910E+01     Axx :   2.278E+01     Ayy :   6.887E+00               |
| Ixx :   1.110E+03     Iyy :   4.020E+02     J   :   5.370E+00               |
| Sxx+:   1.563E+02     Sxx-:   1.563E+02     Zxx :   1.730E+02               |
| Syy+:   5.507E+01     Syy-:   5.507E+01     Zyy :   8.360E+01               |
| Cw  :   1.822E+04     x0  :   0.000E+00     y0  :   8.882E-16               |
|-----------------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                         |
| Fyld:        7200.000              Fu:        9359.999                      |
|-----------------------------------------------------------------------------|
| Actual Member Length:        14.000                                         |
| Design Parameters                                            (Rolled)       |
| Kx:    1.00  Ky:    1.00  NSF:    1.00  SLF:    1.00  CSP:    1.00          |
|-----------------------------------------------------------------------------|
| COMPRESSION CLASSIFICATION (L/C:      2 LOC:   168.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: NonSlender       9.36       N/A      13.49     Table.B4.1a.Case1    |
| Web   : NonSlender      23.59       N/A      35.88     Table.B4.1a.Case5    |
|                                                                             |
| FLEXURE CLASSIFICATION     (L/C:      2 LOC:   168.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: NonCompact       9.36       9.15     24.08     Table.B4.1b.Case10   |
| Web   : Compact         23.59      90.55    137.27     Table.B4.1b.Case15   |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   11
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.2)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL TENSION                            |
|-----------------------------------------------------------------------------|
| TENSILE YIELDING                                                            |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       871.3       0.000     Cl.D2          2      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom. Ten. Yld Cap         : Pn     =  1455.0     kip        Eq.D2-1        |
|-----------------------------------------------------------------------------|
| TENSILE RUPTURE                                                             |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       945.8       0.000     Cl.D2          2      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective area            : Ae     = 0.20208     ft2        Eq.D3-1        |
|  Nom. Ten. Rpt Cap         : Pn     =  1891.5     kip        Eq.D2-2        |
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL COMPRESSION                        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING X                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              267.0       825.4       0.323     Cl.E3          2      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective Slenderness     : Lcx/rx =  27.202                Cl.E2          |
|  Elastic Buckling Stress   : Fex    =  55702.     kip/ft2    Eq.E3-4        |
|  Crit. Buckling Stress     : Fcrx   =  6820.8     kip/ft2    Eq.E3-2        |
|  Nom. Flexural Buckling    : Pnx    =  1378.4     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING Y                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              267.0       750.4       0.356     Cl.E3          2      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective Slenderness     : Lcy/ry =  45.200                Cl.E2          |
|  Elastic Buckling Stress   : Fey    =  20173.     kip/ft2    Eq.E3-4        |
|  Crit. Buckling Stress     : Fcry   =  6200.9     kip/ft2    Eq.E3-2        |
|  Nom. Flexural Buckling    : Pny    =  1253.1     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL-TORSIONAL-BUCKLING                                                 |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              267.0       765.6       0.349     Cl.E4          2      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Elastic F-T-B Stress      : Fe     =  23321.     kip/ft2    Eq.E4-2        |
|  Crit. F-T-B Stress        : Fcr    =  6327.2     kip/ft2    Eq.E3-2        |
|  Nom. Flex-tor Buckling    : Pn     =  1278.6     kip        Eq.E4-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   12
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.2)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR SHEAR                                    |
|-----------------------------------------------------------------------------|
| SHEAR ALONG X                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              3.807       409.1       0.009     Cl.G1          2      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    =  683.28     kip        Eq.G6-1        |
|-----------------------------------------------------------------------------|
| SHEAR ALONG Y                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              11.93       137.7       0.087     Cl.G1          2      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    =  206.61     kip        Eq.G2-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   13
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.2)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR BENDING                                  |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (Y)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             -53.30       208.6       0.256     Cl.F6.1        2      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along Y : Mny    =  348.33     kip-ft     Eq.F6-1        |
|-----------------------------------------------------------------------------|
| LAT TOR BUCK ABOUT X                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              167.0       427.4       0.391     Cl.F2.2        2      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom L-T-B Cap             : Mnx    =  713.71     kip-ft     Eq.F2-2        |
|  Mom. Distr. factor        : CbX    =  1.0000                Custom         |
|  Limiting Unbraced Length  : LpX    =  13.128     ft         Eq.F2-5        |
|  coefficient C             : Cx     =  1.0000                Eq.F2-8a       |
|  Effective Rad. of Gyr.    : Rts    = 0.34670     ft         Eq.F2-7        |
|  Limiting Unbraced Length  : LrX    =  45.539     ft         Eq.F2-6        |
|-----------------------------------------------------------------------------|
| FLANGE LOCAL BUCK(X)                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              167.0       429.4       0.389     Cl.F3.1        2      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom F-L-B Cap             : Mnx    =  717.16     kip-ft     Eq.F3-1        |
|-----------------------------------------------------------------------------|
| FLANGE LOCAL BUCK(Y)                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             -53.30       207.0       0.257     Cl.F6.2        2      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom F-L-B Cap             : Mny    =  345.73     kip-ft     Eq.F6-2        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   14
                       STAAD.PRO CODE CHECKING - AISC 360-16 ASD (V1.2)
                     ****************************************************
 ALL UNITS ARE - KIP  FEET (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL BEND INTERACTION                   |
|-----------------------------------------------------------------------------|
| COMBINED FORCES CLAUSE H1                                                   |
|                            RATIO      CRITERIA           L/C      LOC       |
|                            0.932      Eq.H1-1a            2        0.00     |
|                                                                             |
| Intermediate Results :                                                      |
|  Axial Capacity            : Pc     =  750.36     kip        Cl.H1.1        |
|  Moment Capacity           : Mcx    =  427.37     kip-ft     Cl.H1.1        |
|  Moment Capacity           : Mcy    =  207.02     kip-ft     Cl.H1.1        |
|-----------------------------------------------------------------------------|