V. AISC 360-22 L Compression

Verify the compression capacity of a single angle member per the AISC 360-22 code.

Reference

  1. Steel Construction Manual, 16th Edition, American Institute of Steel Construction, 2017
  2. AISC Shapes Database v15.0 November, 2017. https://www.aisc.org/publications/steel-construction-manual-resources/15th-ed-steel-construction-manual/shapes-database-v15.0

Problem

A 10' long cantilever member is subjected to 20 kips compressive load. The member is a single L8x6x3/4 (as specified in the 15th Ed. AISC shapes database). The material is grade A36 steel. There are no transverse loads and the member is laterally braced at top and bottom. Assume the member is connected via the long leg to the load and support and that the attachment is welded.

Section Properties

From reference #2:

  • Long leg width, b1 = 8.0 in
  • Short leg width, b2 = 6.0 in
  • Thickness, t = 0.75 in
  • Area, A = 9.94 in2
  • Radius of gyration about the y-axis, ry = 1.75 in
  • Tangent of angle between geometric and principal axes, tan(α) = 0.550
  • Moment of inertia about the major principle axis, Iw = 77.8 in4
  • Moment of inertia about the minor principle axis, Iz = 16.6 in4
  • Radius of gyration about the minor principle axis, rz = 1.29in

Calculations

Section Forces

This example will use a single load case for both LRFD and ASD examples: 1.0DL + 1.0LL.

Pu = Pa = 20 kips

Eccentricity Effects

The ratio of long leg to short leg, b1/b2 = 8.00 / 6.00 = 1.33 < 1.7.

(E5-1)

Lc/r < 200, so the effects of eccentricity may be neglected.

Element Slenderness

Long leg (Table B4.1a, case 3 and B4.1b.(e) ) governs slenderness by inspection:

λLL < λr, so the legs are nonslender in compression.

Flexural-torsional buckling (as described in Cl. E4) does not need to be considered per Cl. E5, since .

Flexural Buckling

For members without slender elements, Cl. E3 applies.

(E3-2)
(E3-1)

The available compressive strength:

LRFD: , ratio

ASD: , ratio

Principle Axes

The radius of gyration about the major and minor principle axes, respectively:

The slenderness ratio about the minor principle axis, . Thus, the principle axes do not govern flexural buckling.

Comparison

Table 1. Comparison of results
Result Type Reference STAAD.Pro Difference Comments
Compression capcaity, ϕcPn LRFD (kips) 144.5 148.2 2.6% See note a below.
Critical ratio, LRFD 0.138 0.135 2.2%
Compression capcaity, Pnc ASD (kips) 96.12 98.63 2.6%
Critical ratio, LRFD 0.203 0.208 2.5%
  1. The STAAD input file compared here uses a slightly higher value for the modulus of elasticy, E = 29,733 ksi (205 MPa).

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 L Compression.STD is typically installed with the program.

The following design parameters are used:

  • The long leg of the angle as the connection side is specified using: LEG 0
  • The web member of a regular truss is specified using IMM 0
  • The member requirements for single angle members in compression in sections E5.(1) to E5.(3) are met and this is specified using the E5P 0
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 21-MAY-24
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 0 3.04801 0;
MEMBER INCIDENCES
1 2 1;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 2.05e+08
POISSON 0.3
DENSITY 76.8195
ALPHA 1.2e-05
DAMP 0.03
G 7.88462e+07
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST L806012
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE None  TITLE LOAD CASE 1
JOINT LOAD
2 FY -88.9644
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE AISC UNIFIED 2022
LEG 0 ALL
IMM 0 ALL
E5P 0 ALL
TRACK 2 ALL
METHOD LRFD
CHECK CODE ALL
PARAMETER 2
CODE AISC UNIFIED 2022
LEG 0 ALL
IMM 0 ALL
E5P 0 ALL
TRACK 2 ALL
METHOD ASD
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
  ------------    -----------     -------------
       U               Z          Axis typically parallel to the sections principal major axis.
       V               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.    4 
                       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  L806012             (AISC SECTIONS)|
|  Status:        PASS       Ratio:         0.135       Loadcase:        1    |
|  Location:      0.00       Ref:      Cl.E3                                  |
|  Pz:       20.00     C     Vy:        0.000           Vx:     -0.000        |
|  Tz:       0.000           My:        0.000           Mx:     -0.000        |
|-----------------------------------------------------------------------------|
| COMPRESSION SLENDERNESS                                                     |
| Actual Slenderness Ratio    :    123.322                                    |
| Allowable Slenderness Ratio :    200.000            LOC  :     0.00         |
|-----------------------------------------------------------------------------|
| STRENGTH CHECKS                                                             |
| Critical L/C  :      1             Ratio     :        0.135(PASS)           |
|          Loc  :    0.00            Condition :    Cl.E3                     |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES  (LOC:     0.00, PROPERTIES UNIT: IN  )                  |
| Ag  :   9.990E+00     Axx :   4.500E+00     Ayy :   6.000E+00               |
| Ixx :   6.343E+01     Iyy :   3.072E+01     J   :   1.873E+00               |
| Sxx+:   6.419E+00     Sxx-:   6.224E+00     Zxx :   2.526E+01               |
| Syy+:   1.403E+01     Syy-:   1.773E+01     Zyy :   1.124E+01               |
| Cw  :   7.281E+00     x0  :   1.180E+00     y0  :   2.175E+00               |
|-----------------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                         |
| Fyld:          36.000              Fu:          58.000                      |
|-----------------------------------------------------------------------------|
| Actual Member Length:       120.000                                         |
| Design Parameters                                            (Rolled)       |
| Kx:    1.00  Ky:    1.00  NSF:    1.00  SLF:    1.00  CSP:   12.00          |
|-----------------------------------------------------------------------------|
| COMPRESSION CLASSIFICATION (L/C:      1 LOC:   120.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: NonSlender       8.00       N/A      12.93     Table.B4.1a.Case3    |
| Web   : NonSlender      10.67       N/A      12.93     Table.B4.1a.Case3    |
|                                                                             |
| FLEXURE CLASSIFICATION     (L/C:      1 LOC:   120.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: Compact          8.00      15.52     26.15     Table.B4.1b.Case12   |
| Web   : Compact         10.67      15.52     26.15     Table.B4.1b.Case12   |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    5 
                       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       323.7       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom. Ten. Yld Cap         : Pn     =  359.64     kip        Eq.D2-1        |
|-----------------------------------------------------------------------------|
| TENSILE RUPTURE                                                             |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       434.6       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective area            : Ae     =  9.9900     in2        Eq.D3-1        |
|  Nom. Ten. Rpt Cap         : Pn     =  579.42     kip        Eq.D2-2        |
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL COMPRESSION                        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING Y                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              20.00       148.2       0.135     Cl.E3          1      0.00   | 
|                                                                             |
| Intermediate Results :                                                      |
|  Effective Slenderness     : Lcy/ry =  123.32                Eq.E5-1        |
|  Elastic Buckling Stress   : Fey    =  19.295     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fny    =  16.488     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pny    =  164.71     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING U                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              20.00       294.3       0.068     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Fabricated Slenderness    : Lcu/ru =  43.077                Cl.E2          |
|  Effective Slenderness     : Lcu/ru =  43.077                Cl.E2          |
|  Elastic Buckling Stress   : Feu    =  158.14     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fnu    =  32.728     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pnu    =  326.95     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING V                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              20.00       207.6       0.096     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Fabricated Slenderness    : Lcv/rv =  93.024                Cl.E2          |
|  Effective Slenderness     : Lcv/rv =  93.024                Cl.E2          |
|  Elastic Buckling Stress   : Fev    =  33.912     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fnv    =  23.085     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pnv    =  230.62     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    6 
                       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     |
|              0.000       87.48       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.G3          |
|  Nom. Shear Along X        : Vnx    =  97.200     kip        Eq.G6-1        |
|-----------------------------------------------------------------------------|
| SHEAR ALONG Y                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       116.6       0.000     Cl.G1          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Coefficient Cv Along Y    : Cv     =  1.0000                Eq.G2-9        |
|  Coefficient Kv Along Y    : Kv     =  1.2000                Cl.G3          |
|  Nom. Shear Along Y        : Vny    =  129.60     kip        Eq.G3-1        |
|-----------------------------------------------------------------------------|
      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 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR BENDING                                  |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (U)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       681.8       0.000     Cl.F10.1       1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along U : Mnu    =  757.51     kip-in     Eq.F10-1       |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (V)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             -0.000       302.5       0.000     Cl.F10.1       1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along V : Mnv    =  336.11     kip-in     Eq.F10-1       |
|-----------------------------------------------------------------------------|
| LAT TOR BUCK ABOUT U                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       665.1       0.000     Cl.F10.2       1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding About U : Mnu    =  739.02     kip-in     Eq.F10-2       |
|  modification factor Cb    : CbU    =  1.0000                Custom         |
|  Crit. Elast. L-T-B Moment : McrU   =  3315.7     kip-in     Eq.F10-4       |
|-----------------------------------------------------------------------------|
      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 BEND INTERACTION                   |
|-----------------------------------------------------------------------------|
| COMBINED FORCES CLAUSE H2                                                   |
|                            RATIO      CRITERIA           L/C      LOC       |
|                            0.135      Eq.H2-1             1        0.00     |
|                                                                             |
| Intermediate Results :                                                      |
|  Applied Stress            : fra    = -2.0020     ksi        Eq.H2-1        |
|  Allowable Stress          : Fca    =  14.839     ksi        Eq.H2-1        |
|  Allowable Stress          : Fcbz   =  47.414     ksi        Eq.H2-1        |
|  Allowable Stress          : Fcbw   =  22.862     ksi        Eq.H2-1        |
|-----------------------------------------------------------------------------|
    41. PARAMETER 2
    42. CODE AISC UNIFIED 2022
    43. LEG 0 ALL
    44. IMM 0 ALL
    45. E5P 0 ALL
    46. TRACK 2 ALL
    47. METHOD ASD
    48. CHECK CODE ALL
 PARAMETER 2       
      STAAD SPACE                                              -- PAGE NO.    9 
                       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
  ------------    -----------     -------------
       U               Z          Axis typically parallel to the sections principal major axis.
       V               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.   10 
                       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  L806012             (AISC SECTIONS)|
|  Status:        PASS       Ratio:         0.203       Loadcase:        1    |
|  Location:      0.00       Ref:      Cl.E3                                  |
|  Pz:       20.00     C     Vy:        0.000           Vx:     -0.000        |
|  Tz:       0.000           My:        0.000           Mx:     -0.000        |
|-----------------------------------------------------------------------------|
| COMPRESSION SLENDERNESS                                                     |
| Actual Slenderness Ratio    :    123.322                                    |
| Allowable Slenderness Ratio :    200.000            LOC  :     0.00         |
|-----------------------------------------------------------------------------|
| STRENGTH CHECKS                                                             |
| Critical L/C  :      1             Ratio     :        0.203(PASS)           |
|          Loc  :    0.00            Condition :    Cl.E3                     |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES  (LOC:     0.00, PROPERTIES UNIT: IN  )                  |
| Ag  :   9.990E+00     Axx :   4.500E+00     Ayy :   6.000E+00               |
| Ixx :   6.343E+01     Iyy :   3.072E+01     J   :   1.873E+00               |
| Sxx+:   6.419E+00     Sxx-:   6.224E+00     Zxx :   2.526E+01               |
| Syy+:   1.403E+01     Syy-:   1.773E+01     Zyy :   1.124E+01               |
| Cw  :   7.281E+00     x0  :   1.180E+00     y0  :   2.175E+00               |
|-----------------------------------------------------------------------------|
| MATERIAL PROPERTIES                                                         |
| Fyld:          36.000              Fu:          58.000                      |
|-----------------------------------------------------------------------------|
| Actual Member Length:       120.000                                         |
| Design Parameters                                            (Rolled)       |
| Kx:    1.00  Ky:    1.00  NSF:    1.00  SLF:    1.00  CSP:   12.00          |
|-----------------------------------------------------------------------------|
| COMPRESSION CLASSIFICATION (L/C:      1 LOC:   120.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: NonSlender       8.00       N/A      12.93     Table.B4.1a.Case3    |
| Web   : NonSlender      10.67       N/A      12.93     Table.B4.1a.Case3    |
|                                                                             |
| FLEXURE CLASSIFICATION     (L/C:      1 LOC:   120.00)                      |
|                            λ         λp        λr       CASE                |
| Flange: Compact          8.00      15.52     26.15     Table.B4.1b.Case12   |
| Web   : Compact         10.67      15.52     26.15     Table.B4.1b.Case12   |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   11 
                       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       215.4       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom. Ten. Yld Cap         : Pn     =  359.64     kip        Eq.D2-1        |
|-----------------------------------------------------------------------------|
| TENSILE RUPTURE                                                             |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       289.7       0.000     Cl.D2          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Effective area            : Ae     =  9.9900     in2        Eq.D3-1        |
|  Nom. Ten. Rpt Cap         : Pn     =  579.42     kip        Eq.D2-2        |
|-----------------------------------------------------------------------------|
|                         CHECKS FOR AXIAL COMPRESSION                        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING Y                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              20.00       98.63       0.203     Cl.E3          1      0.00   | 
|                                                                             |
| Intermediate Results :                                                      |
|  Effective Slenderness     : Lcy/ry =  123.32                Eq.E5-1        |
|  Elastic Buckling Stress   : Fey    =  19.295     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fny    =  16.488     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pny    =  164.71     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING U                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              20.00       195.8       0.102     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Fabricated Slenderness    : Lcu/ru =  43.077                Cl.E2          |
|  Effective Slenderness     : Lcu/ru =  43.077                Cl.E2          |
|  Elastic Buckling Stress   : Feu    =  158.14     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fnu    =  32.728     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pnu    =  326.95     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
| FLEXURAL BUCKLING V                                                         |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              20.00       138.1       0.145     Cl.E3          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Fabricated Slenderness    : Lcv/rv =  93.024                Cl.E2          |
|  Effective Slenderness     : Lcv/rv =  93.024                Cl.E2          |
|  Elastic Buckling Stress   : Fev    =  33.912     ksi        Eq.E3-4        |
|  Nom. Buckling Stress      : Fnv    =  23.085     ksi        Eq.E3-2        |
|  Nom. Flexural Buckling    : Pnv    =  230.62     kip        Eq.E3-1        |
|-----------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   12 
                       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     |
|              0.000       58.20       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.G3          |
|  Nom. Shear Along X        : Vnx    =  97.200     kip        Eq.G6-1        |
|-----------------------------------------------------------------------------|
| SHEAR ALONG Y                                                               |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       77.60       0.000     Cl.G1          1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Coefficient Cv Along Y    : Cv     =  1.0000                Eq.G2-9        |
|  Coefficient Kv Along Y    : Kv     =  1.2000                Cl.G3          |
|  Nom. Shear Along Y        : Vny    =  129.60     kip        Eq.G3-1        |
|-----------------------------------------------------------------------------|
      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 Contd.
|-----------------------------------------------------------------------------|
|                         CHECKS FOR BENDING                                  |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (U)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       453.6       0.000     Cl.F10.1       1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along U : Mnu    =  757.51     kip-in     Eq.F10-1       |
|-----------------------------------------------------------------------------|
| FLEXURAL YIELDING (V)                                                       |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|             -0.000       201.3       0.000     Cl.F10.1       1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding Along V : Mnv    =  336.11     kip-in     Eq.F10-1       |
|-----------------------------------------------------------------------------|
| LAT TOR BUCK ABOUT U                                                        |
|              DEMAND      CAPACITY    RATIO     REFERENCE     L/C    LOC     |
|              0.000       442.5       0.000     Cl.F10.2       1      0.00   |
|                                                                             |
| Intermediate Results :                                                      |
|  Nom Flex Yielding About U : Mnu    =  739.02     kip-in     Eq.F10-2       |
|  modification factor Cb    : CbU    =  1.0000                Custom         |
|  Crit. Elast. L-T-B Moment : McrU   =  3315.7     kip-in     Eq.F10-4       |
|-----------------------------------------------------------------------------|
      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 BEND INTERACTION                   |
|-----------------------------------------------------------------------------|
| COMBINED FORCES CLAUSE H2                                                   |
|                            RATIO      CRITERIA           L/C      LOC       |
|                            0.203      Eq.H2-1             1        0.00     |
|                                                                             |
| Intermediate Results :                                                      |
|  Applied Stress            : fra    = -2.0020     ksi        Eq.H2-1        |
|  Allowable Stress          : Fca    =  9.8729     ksi        Eq.H2-1        |
|  Allowable Stress          : Fcbz   =  31.546     ksi        Eq.H2-1        |
|  Allowable Stress          : Fcbw   =  15.211     ksi        Eq.H2-1        |
|-----------------------------------------------------------------------------|