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V. AISC ASD - Wide Flange Beam Load Capacity 1

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

Lu = 6ft

Comparison

The reported STAAD.Pro value is obtained by multiplying the FCZ and SZ values from the STAAD.Pro output = 23.76(64.71) = 1,537.5 in·kip = 128.1.

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Bending capacity (ft·kips) 128 128.1 none

STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\ASD 9th Edition\AISC ASD - Wide Flange Beam Load Capacity 1.STD is typically installed with the program.

STAAD SPACE AISC VERIFICATION PROBLEM FOR BENDING CAPACITY. PAGE 2-5 OF
START JOB INFORMATION
ENGINEER DATE 22-Sep-18
END JOB INFORMATION
* 9TH ED. AISC-ASD CODE EXAMPLE 1. RATIO SHOULD BE A LITTLE UNDER 1.0.
* CAPACITY SHOULD BE 128 KIP-FT. (SZ*FCZ SHOULD BE 128 KIP-FT).
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 10 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 12.5
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE AISC
MAIN 1 ALL
FYLD 36 ALL
UNL 72 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)=   10.00 --->|               RY =   1.56  |
  |*************                                                RZ =   6.63  |
  |                                                                          |
  |                125.0 (KIP-FEET)                                          |
  |PARAMETER        |L1                                         STRESSES     |
  |IN KIP  INCH     |   L1  L1                                  IN KIP  INCH |
  |---------------  +           L1                              -------------|
  | KL/R-Y=  76.68  |               L1                          FA  =  15.57 |
  | KL/R-Z=  18.11  +                                           fa  =   0.00 |
  | UNL   =  72.00  |                       L1                  FCZ =  23.76 |
  | CB    =   1.00  +                                           FTZ =  23.76 |
  | CMY   =   0.85  |                           L1  L1          FCY =  27.00 |
  | CMZ   =   0.85  +                                   L1      FTY =  27.00 |
  | FYLD  =  36.00  |                                       L0  fbz =  23.17 |
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   fby =   0.00 |
  | DFF   =   0.00  -6.9                                        Fey =  25.40 |
  | dff=      0.00               ABSOLUTE MZ ENVELOPE           Fez = 455.24 |
  | (KL/R)max =  76.68              (WITH LOAD NO.)             FV  =  14.40 |
  |                                                             fv  =   2.84 |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE       0.0        12.5        0.0         0.0       125.0      |
  |   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       0.975              1               |
  |          0.00 T          0.00      -125.00             0.00              |
  |*                                                                        *|
  |**************************************************************************|
  |                                                                          |