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V. AISC ASD - Wide Flange Beam Load Capacity 2

Determine the bending (transverse load carrying) capacity of a W16x40 shape.

Reference

AISC Allowable Stress Design, 9th Edition, Example1, page 2-5.

Problem

Fy =36 ksi

Luc = 9ft (Unbraced length of compression flange)

Comparison

The reported STAAD.Pro value is obtained by multiplying the FCZ and SZ values from the STAAD.Pro output = 21.60(64.71) = 1397.7 in·kip = 116.5 ft·kips.

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Bending capacity (ft·kips) 116.5 116.5 none

STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC ASD - Wide Flange Beam Load Capacity 2.STD is typically installed with the program.

STAAD SPACE AISC VERIFICATION PROBLEM FOR BENDING CAPACITY. PAGE 2-6 OF
START JOB INFORMATION
ENGINEER DATE 22-Sep-18
END JOB INFORMATION
* 9TH ED. AISC-ASD CODE EXAMPLE 2.
* CAPACITY SHOULD BE 116.5 KIP-FT. (SZ*FCZ SHOULD BE 116.5 KIP-FT).
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 9 0 0;
MEMBER INCIDENCES
1 1 2;
MEMBER PROPERTY AMERICAN
1 TABLE ST W16X40
UNIT INCHES KIP
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 29000
POISSON 0.3
END DEFINE MATERIAL
UNIT FEET KIP
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
1 FIXED
LOAD 1
JOINT LOAD
2 FY 12.94
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE AISC
MAIN 1 ALL
FYLD 36 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH

STAAD Output

                       STAAD.PRO CODE CHECKING - (AISC 9TH EDITION)   v1.0
                       ********************************************
  |--------------------------------------------------------------------------|
  |                                                    Y        PROPERTIES   |
  |*************                                       |        IN INCH UNIT |
  |            *  |=============================|   ===|===     ------------ |
  |MEMBER   1  *  |  AISC SECTIONS              |      |        AX =  11.80  |
  |            *  | ST  W16X40                  |      |   --Z  AY =   4.39  |
  |DESIGN CODE *  |                             |      |        AZ =   4.73  |
  | AISC-1989  *  ===============================   ===|===     SY =   8.26  |
  |            *                                                SZ =  64.75  |
  |            *  |<---LENGTH (FT)=    9.00 --->|               RY =   1.56  |
  |*************                                                RZ =   6.63  |
  |                                                                          |
  |                116.5 (KIP-FEET)                                          |
  |PARAMETER        |L1                                         STRESSES     |
  |IN KIP  INCH     |   L1                                      IN KIP  INCH |
  |---------------  +       L1  L1                              -------------|
  | KL/R-Y=  69.01  |               L1                          FA  =  16.31 |
  | KL/R-Z=  16.30  +                   L1                      fa  =   0.00 |
  | UNL   = 108.00  |                       L1                  FCZ =  21.60 |
  | CB    =   1.00  +                                           FTZ =  21.60 |
  | CMY   =   0.85  |                           L1              FCY =  27.00 |
  | CMZ   =   0.85  +                               L1  L1      FTY =  27.00 |
  | FYLD  =  36.00  |                                       L0  fbz =  21.58 |
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   fby =   0.00 |
  | DFF   =   0.00  -6.5                                        Fey =  31.36 |
  | dff=      0.00               ABSOLUTE MZ ENVELOPE           Fez = 562.02 |
  | (KL/R)max =  69.01              (WITH LOAD NO.)             FV  =  14.40 |
  |                                                             fv  =   2.94 |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE       0.0        12.9        0.0         0.0       116.5      |
  |   LOCATION       0.0         0.0        0.0         0.0         0.0      |
  |    LOADING         0           1          0           0           1      |
  |                                                                          |
  |**************************************************************************|
  |*                                                                        *|
  |*                         DESIGN SUMMARY  (KIP-FEET)                     *|
  |*                         --------------                                 *|
  |*                                                                        *|
  |*       RESULT/     CRITICAL COND/     RATIO/         LOADING/           *|
  |         FX              MY             MZ           LOCATION             |
  |        ======================================================            |
  |          PASS        AISC- H1-3       0.999              1               |
  |          0.00 T          0.00      -116.46             0.00              |
  |*                                                                        *|
  |                                                                          |
  |--------------------------------------------------------------------------|