V. AISC 360-22 C Interaction

Verify the capacities and interaction check ratio of a channel section per the AISC 360-22 code.

Reference

  1. Steel Construction Manual, 16th Edition, American Institute of Steel Construction, 2017
  2. AISC Shapes Database v16.0 August, 2023. https://www.aisc.org/publications/steel-construction-manual-resources/16th-ed-steel-construction-manual/aisc-shapes-database-v16.0/

Problem

A 5' long cantilever beam is subjected to an axial load of 50 kips along with bending moments at the free end of 60 ft-kips about the major axis and 6 ft-kips about the minor axis. The section is an MC8x8.5 with Grade A36 steel. Assume the member is braced at the free end.

Section Properties

From reference #2:

  • Depth, D = 8 in.
  • Flange width, bf = 1.87 in
  • Flange thickness, tf = 0.311 in.
  • Web thickenss, tw = 0.179 in.
  • Gross area, A = 2.5 in2
  • Elastic section modulus about major axis, Sx = 5.82 in3
  • Plastic section modulus about major axis, Zx = 6.95 in3
  • Elastic section modulus about minor axis, Sy = 0.431 in3
  • Plastic section modulus about minor axis, Zy = 0.875 in3
  • Radius of gyration about minor axis, ry = 0.500 in

Material Properites

  • Fy = 36 ksi
  • E = 29,000 ksi
  • G = 11,200 ksi

Calculations

Compression Capacity

The effective length of the member, Lc = KL = 1.0 × 60 in = 60 in.

(E3-2)
(E3-1)

The available compressive strength:

LRFD:

ASD:

Bending Capacity About Major Axis

The moment modification factor, Cb = 1.0 for contant moment along the section.

Flexural yielding about X axis:

(F2-1)

LRFD:

ASD:

From Table 3-9 in reference #1, Lp = 2.08 ft = 24.96 in and Lr = 7.42 ft = 89.04 in. Therefore, Lp < Lb = 60 in < Lr.

(F2-2)

LRFD:

ASD:

Bending Capacity About Minor Axis

Flexural yielding about Y axis:

(F6-1)
Per reference #2, flanges of all MC section s with Fy are compact; therefore flange local buckling does not apply.

The available minor axis bending strength:

LRFD:

ASD:

Combined Forces

LRFD:

ASD:

LRFD

(H1-1a)

ASD

(H1-1a)

Comparison

Table 1. Comparison of results
Result Type Reference STAAD.Pro Difference Comments
Iteraction ratio, LRFD 1.863 1.904 2.2% The STAAD.Pro AISC database used slightly rounded values for the plastic section moduli.
Interaction ratio, ASD 2.799 2.862 2.3%

STAAD.Pro Input File

The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples\Verification Models\09 Steel Design\US\AISC\AISC 360-22 C Interaction.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 17-June-24
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 5 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
ISOTROPIC STEEL_36_KSI
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
G 1.6128e+06
TYPE STEEL
STRENGTH FY 5184 FU 8352 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY 'US (AISC 2023).DB3'
1 TABLE 'MISCELLANEOUS CHANNEL' ST 'MC8X8.5'
CONSTANTS
MATERIAL STEEL_36_KSI ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE None  TITLE LOAD CASE 1
UNIT INCHES KIP
JOINT LOAD
2 FX -50
2 MZ -60
2 MY -6
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
PARAMETER 1
CODE AISC UNIFIED 2022
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
PARAMETER 2
CODE AISC UNIFIED 2022
METHOD ASD
TRACK 2 ALL
CHECK CODE ALL
FINISH

STAAD.Pro Output

                       STAAD.PRO CODE CHECKING - AISC 360-22 LRFD (V1.0)
                     *****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
 ***NOTE : AISC 360-22 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 360-22 code.
 The analysis results are reported in STAAD.Pro axis convention and the AISC 360:22
 design results are reported in AISC 360-22 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 360-22 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.    7 
                       STAAD.PRO CODE CHECKING - AISC 360-22 LRFD (V1.0)
                     *****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
 - Member :     1 
|-----------------------------------------------------------------------------|
|* Member No:        1       Profile:  ST  MC8X8.5             (STANDARD SECTI|NS)
|  Status:        FAIL       Ratio:         1.904       Loadcase:        1    |
|  Location:      0.00       Ref:      Eq.H1-1a                               |
|  Pz:       50.00     C     Vy:       0.8882E-15       Vx:     -.1110E-15    |
|  Tz:       0.000           My:        6.000           Mx:      60.00        |
|-----------------------------------------------------------------------------|
| COMPRESSION SLENDERNESS                                                     |
| Actual Slenderness Ratio    :    122.474                                    |
| Allowable Slenderness Ratio :    200.000            LOC  :     0.00         |
|-----------------------------------------------------------------------------|
| STRENGTH CHECKS                                                             |
| Critical L/C  :      1             Ratio     :        1.904(FAIL)           |
|          Loc  :    0.00            Condition :    Eq.H1-1a                  |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES  (LOC:     0.00, PROPERTIES UNIT: IN  )                  |
| Ag  :   2.500E+00     Axx :   1.163E+00     Ayy :   1.432E+00               |
| Ixx :   2.330E+01     Iyy :   6.000E-01     J   :   6.000E-02               |
| Sxx+:   5.825E+00     Sxx-:   5.825E+00     Zxx :   7.000E+00               |
| Syy+:   4.324E-01     Syy-:   1.244E+00     Zyy :   9.000E-01               |
| Cw  :   8.124E+00     x0  :  -1.024E+00     y0  :   0.000E+00               |
|-----------------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                         |
| Fyld:          36.000              Fu:          58.000                      |
|-----------------------------------------------------------------------------|
| Actual Member Length:        60.000                                         |
| Design Parameters                                            (Rolled)       |
| Kx:    1.00  Ky:    1.00  NSF:    1.00  SLF:    1.00  CSP:   12.00          |
|-----------------------------------------------------------------------------|
| COMPRESSION CLASSIFICATION (L/C:      1 LOC:    60.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: NonSlender       6.01       N/A      15.89     Table.B4.1a.Case1    |
| Web   : NonSlender      41.22       N/A      42.29     Table.B4.1a.Case5    |
|                                                                             |
| FLEXURE CLASSIFICATION     (L/C:      1 LOC:    60.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: Compact          6.01      10.79     28.38     Table.B4.1b.Case10   |
| Web   : Compact         41.22     106.72    161.78     Table.B4.1b.Case15   |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    8 
                       STAAD.PRO CODE CHECKING - AISC 360-22 LRFD (V1.0)
                     *****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL TENSION                            |
|-----------------------------------------------------------------------------|
| TENSILE YIELDING                                                            |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       81.00       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom. Ten. Yld Cap         : Pn     =  90.000     kip        Eq.D2-1        |
|-----------------------------------------------------------------------------|
| TENSILE RUPTURE                                                             |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       108.8       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective area            : Ae     =  2.5000     in2        Eq.D3-1        |
|  Nom. Ten. Rpt Cap         : Pn     =  145.00     kip        Eq.D2-2        |
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL COMPRESSION                        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING X                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              50.00       79.37       0.630     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Fabricated Slenderness    : Lcx/rx =  19.654                Cl.E2          |
|  Effective Slenderness     : Lcx/rx =  19.654                Cl.E2          |
|  Elastic Buckling Stress   : Fex    =  740.99     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fnx    =  35.275     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pnx    =  88.188     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING Y                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              50.00       36.77       1.360     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Fabricated Slenderness    : Lcy/ry =  122.47                Cl.E2          |
|  Effective Slenderness     : Lcy/ry =  122.47                Cl.E2          |
|  Elastic Buckling Stress   : Fey    =  19.081     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fny    =  16.344     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pny    =  40.860     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL-TORSIONAL-BUCKLING                                                 |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              50.00       59.65       0.838     Cl.E4          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Constant                  : H      = 0.90111                Eq.E4-8        |
|  Euler Buckling Stress     : Fez    =  49.586     ksi        Eq.E4-7        |
|  Elastic F-T-B Stress      : Fe     =  49.239     ksi        Eq.E4-3        |
|  Nom. F-T-B Stress         : Fn     =  26.510     ksi        Eq.E3-2        |
|  Nom. Flex-tor Buckling    : Pn     =  66.274     kip        Eq.E4-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    9 
                       STAAD.PRO CODE CHECKING - AISC 360-22 LRFD (V1.0)
                     *****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR SHEAR                                    |
|-----------------------------------------------------------------------------|
| SHEAR ALONG X                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             0.1110E-15   22.61       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    =  25.124     kip        Eq.G6-1        |
|-----------------------------------------------------------------------------|
| SHEAR ALONG Y                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             0.8882E-15   27.84       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    =  30.931     kip        Eq.G2-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   10 
                       STAAD.PRO CODE CHECKING - AISC 360-22 LRFD (V1.0)
                     *****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR BENDING                                  |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (X)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              60.00       226.8       0.265     Cl.F2.1        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along X : Mnx    =  252.00     kip-in     Eq.F2-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (Y)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             -6.000       22.41       0.268     Cl.F6.1        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along Y : Mny    =  24.904     kip-in     Eq.F6-1        |
|-----------------------------------------------------------------------------|
| LAT TOR BUCK ABOUT X                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              60.00       173.8       0.345     Cl.F2.2        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom L-T-B Cap             : Mnx    =  193.16     kip-in     Eq.F2-2        |
|  Mom. Distr. factor        : CbX    =  1.0000                Custom         |
|  Limiting Unbraced Length  : LpX    =  24.472     in         Eq.F2-5        |
|  coefficient C             : Cx     =  1.0448                Eq.F2-8b       |
|  Effective Rad. of Gyr.    : Rts    = 0.61565     in         Eq.F2-7        |
|  Limiting Unbraced Length  : LrX    =  88.001     in         Eq.F2-6        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   11 
                       STAAD.PRO CODE CHECKING - AISC 360-22 LRFD (V1.0)
                     *****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL BEND INTERACTION                   |
|-----------------------------------------------------------------------------|
| COMBINED FORCES CLAUSE H1                                                   |
|                            RATIO      CRITERIA           L/C      LOC       |
|                            1.904      Eq.H1-1a            1        0.00     | 
|                                                                             |
| Intermediate Results :                                                      |
|  Axial Capacity            : Pc     =  36.774     kip        Cl.H1.1        |
|  Moment Capacity           : Mcx    =  173.85     kip-in     Cl.H1.1        |
|  Moment Capacity           : Mcy    =  22.414     kip-in     Cl.H1.1        |
|-----------------------------------------------------------------------------|
    49. PARAMETER 2
    50. CODE AISC UNIFIED 2022
    51. METHOD ASD
    52. TRACK 2 ALL
    53. CHECK CODE ALL
 PARAMETER 2       
      STAAD SPACE                                              -- PAGE NO.   12 
                       STAAD.PRO CODE CHECKING - AISC 360-22 ASD (V1.0)
                     ****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
 ***NOTE : AISC 360-22 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 360-22 code.
 The analysis results are reported in STAAD.Pro axis convention and the AISC 360:22
 design results are reported in AISC 360-22 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 360-22 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.   13 
                       STAAD.PRO CODE CHECKING - AISC 360-22 ASD (V1.0)
                     ****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
 - Member :     1 
|-----------------------------------------------------------------------------|
|* Member No:        1       Profile:  ST  MC8X8.5             (STANDARD SECTI|NS)
|  Status:        FAIL       Ratio:         2.862       Loadcase:        1    |
|  Location:      0.00       Ref:      Eq.H1-1a                               |
|  Pz:       50.00     C     Vy:       0.8882E-15       Vx:     -.1110E-15    |
|  Tz:       0.000           My:        6.000           Mx:      60.00        |
|-----------------------------------------------------------------------------|
| COMPRESSION SLENDERNESS                                                     |
| Actual Slenderness Ratio    :    122.474                                    |
| Allowable Slenderness Ratio :    200.000            LOC  :     0.00         |
|-----------------------------------------------------------------------------|
| STRENGTH CHECKS                                                             |
| Critical L/C  :      1             Ratio     :        2.862(FAIL)           |
|          Loc  :    0.00            Condition :    Eq.H1-1a                  |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES  (LOC:     0.00, PROPERTIES UNIT: IN  )                  |
| Ag  :   2.500E+00     Axx :   1.163E+00     Ayy :   1.432E+00               |
| Ixx :   2.330E+01     Iyy :   6.000E-01     J   :   6.000E-02               |
| Sxx+:   5.825E+00     Sxx-:   5.825E+00     Zxx :   7.000E+00               |
| Syy+:   4.324E-01     Syy-:   1.244E+00     Zyy :   9.000E-01               |
| Cw  :   8.124E+00     x0  :  -1.024E+00     y0  :   0.000E+00               |
|-----------------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                         |
| Fyld:          36.000              Fu:          58.000                      |
|-----------------------------------------------------------------------------|
| Actual Member Length:        60.000                                         |
| Design Parameters                                            (Rolled)       |
| Kx:    1.00  Ky:    1.00  NSF:    1.00  SLF:    1.00  CSP:   12.00          |
|-----------------------------------------------------------------------------|
| COMPRESSION CLASSIFICATION (L/C:      1 LOC:    60.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: NonSlender       6.01       N/A      15.89     Table.B4.1a.Case1    |
| Web   : NonSlender      41.22       N/A      42.29     Table.B4.1a.Case5    |
|                                                                             |
| FLEXURE CLASSIFICATION     (L/C:      1 LOC:    60.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: Compact          6.01      10.79     28.38     Table.B4.1b.Case10   |
| Web   : Compact         41.22     106.72    161.78     Table.B4.1b.Case15   |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   14 
                       STAAD.PRO CODE CHECKING - AISC 360-22 ASD (V1.0)
                     ****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL TENSION                            |
|-----------------------------------------------------------------------------|
| TENSILE YIELDING                                                            |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       53.89       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom. Ten. Yld Cap         : Pn     =  90.000     kip        Eq.D2-1        |
|-----------------------------------------------------------------------------|
| TENSILE RUPTURE                                                             |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       72.50       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective area            : Ae     =  2.5000     in2        Eq.D3-1        |
|  Nom. Ten. Rpt Cap         : Pn     =  145.00     kip        Eq.D2-2        |
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL COMPRESSION                        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING X                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              50.00       52.81       0.947     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Fabricated Slenderness    : Lcx/rx =  19.654                Cl.E2          |
|  Effective Slenderness     : Lcx/rx =  19.654                Cl.E2          |
|  Elastic Buckling Stress   : Fex    =  740.99     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fnx    =  35.275     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pnx    =  88.188     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING Y                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              50.00       24.47       2.044     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Fabricated Slenderness    : Lcy/ry =  122.47                Cl.E2          |
|  Effective Slenderness     : Lcy/ry =  122.47                Cl.E2          |
|  Elastic Buckling Stress   : Fey    =  19.081     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fny    =  16.344     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pny    =  40.860     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL-TORSIONAL-BUCKLING                                                 |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              50.00       39.68       1.260     Cl.E4          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Constant                  : H      = 0.90111                Eq.E4-8        |
|  Euler Buckling Stress     : Fez    =  49.586     ksi        Eq.E4-7        |
|  Elastic F-T-B Stress      : Fe     =  49.239     ksi        Eq.E4-3        |
|  Nom. F-T-B Stress         : Fn     =  26.510     ksi        Eq.E3-2        |
|  Nom. Flex-tor Buckling    : Pn     =  66.274     kip        Eq.E4-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   15 
                       STAAD.PRO CODE CHECKING - AISC 360-22 ASD (V1.0)
                     ****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR SHEAR                                    |
|-----------------------------------------------------------------------------|
| SHEAR ALONG X                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             0.1110E-15   15.04       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    =  25.124     kip        Eq.G6-1        |
|-----------------------------------------------------------------------------|
| SHEAR ALONG Y                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             0.8882E-15   18.52       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    =  30.931     kip        Eq.G2-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   16 
                       STAAD.PRO CODE CHECKING - AISC 360-22 ASD (V1.0)
                     ****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR BENDING                                  |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (X)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              60.00       150.9       0.398     Cl.F2.1        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along X : Mnx    =  252.00     kip-in     Eq.F2-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (Y)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             -6.000       14.91       0.402     Cl.F6.1        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along Y : Mny    =  24.904     kip-in     Eq.F6-1        |
|-----------------------------------------------------------------------------|
| LAT TOR BUCK ABOUT X                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              60.00       115.7       0.519     Cl.F2.2        1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom L-T-B Cap             : Mnx    =  193.16     kip-in     Eq.F2-2        |
|  Mom. Distr. factor        : CbX    =  1.0000                Custom         |
|  Limiting Unbraced Length  : LpX    =  24.472     in         Eq.F2-5        |
|  coefficient C             : Cx     =  1.0448                Eq.F2-8b       |
|  Effective Rad. of Gyr.    : Rts    = 0.61565     in         Eq.F2-7        |
|  Limiting Unbraced Length  : LrX    =  88.001     in         Eq.F2-6        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   17 
                       STAAD.PRO CODE CHECKING - AISC 360-22 ASD (V1.0)
                     ****************************************************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted).
                                                       - Member :     1 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL BEND INTERACTION                   |
|-----------------------------------------------------------------------------|
| COMBINED FORCES CLAUSE H1                                                   |
|                            RATIO      CRITERIA           L/C      LOC       |
|                            2.862      Eq.H1-1a            1        0.00     | 
|                                                                             |
| Intermediate Results :                                                      |
|  Axial Capacity            : Pc     =  24.467     kip        Cl.H1.1        |
|  Moment Capacity           : Mcx    =  115.67     kip-in     Cl.H1.1        |
|  Moment Capacity           : Mcy    =  14.913     kip-in     Cl.H1.1        |
|-----------------------------------------------------------------------------|