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V. AISC ASD - Beam Load Capacity 3

Determine the bending (transverse load carrying) capacity of a W10X45 shape.

Reference

AISC Allowable Stress Design, 9th Edition, Example 5, page 2-34.

Problem

Fy =36 ksi

Lu = 6ft

Comparison

The reported STAAD.Pro value is obtained by dividing the applied load (using the table capacity) by the reported STAAD.Pro critical ratio = 17/1.002 = 16.97.

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Allowable uniform load (kips/ft) 17 16.97 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 - Beam Load Capacity 3.STD is typically installed with the program.

STAAD SPACE AISC VERIFICATION PROBLEM FOR BENDING CAPACITY. PAGE 2-34 OF
START JOB INFORMATION
ENGINEER DATE 22-Sep-18
END JOB INFORMATION
* 9TH ED. AISC-ASD EXAMPLE 5. GOVERNING CONDIION IS SHEAR.
* RATIO SHOULD BE APPROXIMATELY 1.0
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 6 0 0;
MEMBER INCIDENCES
1 1 2;
MEMBER PROPERTY AMERICAN
1 TABLE ST W10X45
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 PINNED
2 FIXED BUT MZ
LOAD 1
MEMBER LOAD
1 UNI GY -17
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE AISC
MAIN 1 ALL
BEAM 1 ALL
FYLD 36 ALL
TRACK 2 ALL
SHEAR 1 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 =  13.30  |
  |            *  | ST  W10X45                  |      |   --Z  AY =   3.54  |
  |DESIGN CODE *  |                             |      |        AZ =   9.94  |
  | AISC-1989  *  ===============================   ===|===     SY =  13.32  |
  |            *                                                SZ =  49.11  |
  |            *  |<---LENGTH (FT)=    6.00 --->|               RY =   2.00  |
  |*************                                                RZ =   4.32  |
  |                                                                          |
  |                 76.5 (KIP-FEET)                                          |
  |PARAMETER        |               L1  L1  L1                  STRESSES     |
  |IN KIP  INCH     |                                           IN KIP  INCH |
  |---------------  +           L1              L1              -------------|
  | KL/R-Y=  35.93  |                                           FA  =  19.51 |
  | KL/R-Z=  16.67  +       L1                      L1          fa  =   0.00 |
  | UNL   =  72.00  |                                           FCZ =  23.76 |
  | CB    =   1.00  +   L1                              L1      FTZ =  23.76 |
  | CMY   =   0.85  |                                           FCY =  27.00 |
  | CMZ   =   0.85  +                                           FTY =  27.00 |
  | FYLD  =  36.00  |L0                                     L0  fbz =   0.00 |
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   fby =   0.00 |
  | DFF   =   0.00  -4.2                                        Fey = 115.66 |
  | dff=      0.00               ABSOLUTE MZ ENVELOPE           Fez = 537.14 |
  | (KL/R)max =  35.93              (WITH LOAD NO.)             FV  =  14.40 |
  |                                                             fv  =  14.43 |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE       0.0        51.0        0.0         0.0        76.5      |
  |   LOCATION       0.0         0.0        0.0         0.0         3.0      |
  |    LOADING         0           1          0           0           1      |
  |                                                                          |
  |**************************************************************************|
  |*                                                                        *|
  |*                         DESIGN SUMMARY  (KIP-FEET)                     *|
  |*                         --------------                                 *|
  |*                                                                        *|
  |*       RESULT/     CRITICAL COND/     RATIO/         LOADING/           *|
  |         FX              MY             MZ           LOCATION             |
  |        ======================================================            |
  |          FAIL        SHEAR   -Y       1.002              1               |
  |          0.00 T          0.00         0.00             0.00              |
  |*                                                                        *|
  |**************************************************************************|
  |                                                                          |