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V. AISC ASD - MC Beam Load Capacity

Determine the bending (transverse load carrying) capacity of an MC18x58 channel. The beam is laterally supported along its entire length.

Reference

AISC Allowable Stress Design, 9th Edition, tables, page 2-80.

Problem

Fy =36 ksi

L = 25ft

Comparison

The reported STAAD.Pro value is obtained by dividing the applied load (using the table capacity) by the reported STAAD.Pro critical ratio =43/0.995 = 43.2.

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Total allowable uniform load (kips/ft) 43 43.2 0.5%

STAAD Input

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

STAAD SPACE AISC VERIFICATION PROBLEM FOR BENDING CAPACITY. PAGE 2-80 OF
START JOB INFORMATION
ENGINEER DATE 22-Sep-18
END JOB INFORMATION
* 9TH ED. AISC-ASD. LATERALLY SUPPORTED MC18X58 CHANNEL, 25FT LONG
* LOAD CAPACITY = 43 KIPS. RATIO SHOULD BE APPROXIMATELY 1.0
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 25 0 0;
MEMBER INCIDENCES
1 1 2;
MEMBER PROPERTY AMERICAN
1 TABLE ST MC18X58
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
* LOAD INTENSITY = 43/25 = 1.72 KIP/FT
1 UNI GY -1.72
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE AISC
MAIN 1 ALL
BEAM 1 ALL
FYLD 36 ALL
UNL 1 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 =  17.10  |
  |            *  | ST  MC18X58                 |    |     --Z  AY =   9.98  |
  |DESIGN CODE *  |                             |    |          AZ =   3.20  |
  | AISC-1989  *  ===============================    |===       SY =   5.31  |
  |            *                                                SZ =  75.00  |
  |            *  |<---LENGTH (FT)=   25.00 --->|               RY =   1.01  |
  |*************                                                RZ =   6.28  |
  |                                                                          |
  |                134.4 (KIP-FEET)                                          |
  |PARAMETER        |               L1  L1  L1                  STRESSES     |
  |IN KIP  INCH     |                                           IN KIP  INCH |
  |---------------  +           L1              L1              -------------|
  | KL/R-Y= 295.71  |                                           FA  =   1.71 |
  | KL/R-Z=  47.75  +       L1                      L1          fa  =   0.00 |
  | UNL   =   1.00  |                                           FCZ =  21.60 |
  | CB    =   1.00  +   L1                              L1      FTZ =  21.60 |
  | CMY   =   0.85  |                                           FCY =  21.60 |
  | CMZ   =   0.85  +                                           FTY =  21.60 |
  | FYLD  =  36.00  |L0                                     L0  fbz =  21.50 |
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   fby =   0.00 |
  | DFF   =   0.00  -7.5                                        Fey =   1.71 |
  | dff=      0.00               ABSOLUTE MZ ENVELOPE           Fez =  65.50 |
  | (KL/R)max = 295.71              (WITH LOAD NO.)             FV  =  14.40 |
  |                                                             fv  =   0.00 |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE       0.0        21.5        0.0         0.0       134.4      |
  |   LOCATION       0.0         0.0        0.0         0.0        12.5      |
  |    LOADING         0           1          0           0           1      |
  |                                                                          |
  |**************************************************************************|
  |*                                                                        *|
  |*                         DESIGN SUMMARY  (KIP-FEET)                     *|
  |*                         --------------                                 *|
  |*                                                                        *|
  |*       RESULT/     CRITICAL COND/     RATIO/         LOADING/           *|
  |         FX              MY             MZ           LOCATION             |
  |        ======================================================            |
  |          PASS        AISC- H1-3       0.995              1               |
  |          0.00 T          0.00      -134.38            12.50              |
  |*                                                                        *|
  |                                                                          |
  |--------------------------------------------------------------------------|