STAAD.Pro Help

V. AISC LRFD - MC Shape Capacity

To check the adequacy of a fully braced MC shape to carry a uniformly distributed load of 1.34 kips/ft.

Reference

AISC Load Factor Resistance Design, 3rd Edition, Table 5.10, page 5-124.

Problem

MC10x41.1 shape. Beam is bent about its strong axis.

Fy = 50 ksi

Length = 25 ft

Hand Calculation

MNZ = 1,273 in·kips = wl2/8

w = 8 M l 2 = 8 ( 1 , 273 ) ( 25 12 ) 2 = 0.113 kips/in

W = 0.113 kips/in(25ft)(12 in/ft) = 33.9 kips

ϕbWc = 33.9 kips (25 ft) = 849 ft·kips

Comparison

The reported STAAD.Pro value is based on the term MNZ in the STAAD.Pro output.

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Maximum total Factored Load, W (kips) 34 33.9 none
ϕbWc 849 849 none
Note: Fully braced condition can be achieved by setting the UNT parameter equal to 1.0 inch.

STAAD Input

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

STAAD SPACE BENDING CAPACITY PER AISC LRFD 3RD ED
START JOB INFORMATION
ENGINEER DATE 23-Sep-18
END JOB INFORMATION
*
*  TABLE 5-10, PAGE 5-124, AISC LRFD 3RD ED.
*  OBJECTIVE : TO CHECK THE ADEQUACY OF AN MC SHAPE.
*
*  BEAM IS FULLY BRACED. ACCORDING TO ABOVE REFERENCE,
*  CAPACITY OF A 25 FT LONG MC10X41 IS APPROX. 34/25=1.36 KIP/FT
*
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 25 0 0;
MEMBER INCIDENCES
1 1 2;
MEMBER PROPERTY AMERICAN
1 TABLE ST MC10X41
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 -1.34
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE LRFD
MAIN 1 ALL
* FULLY BRACED CONDITION IS ACHIEVED WITH A UNT OF 1.0 INCH
UNT 1 ALL
FYLD 36 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH

STAAD Output

                       STAAD.PRO CODE CHECKING - (LRFD 3RD EDITION)   v1.0
                       ********************************************
  |--------------------------------------------------------------------------|
  |                                                    Y        PROPERTIES   |
  |*************                                       |        IN INCH UNIT |
  |            *  |=============================|    |===       ------------ |
  |MEMBER   1  *  |  AISC SECTIONS              |    |          AX=0.1210E+2 |
  |            *  | ST  MC10X41                 |    |     --Z  AY=0.7960E+1 |
  |DESIGN CODE *  |                             |    |          AZ=0.3312E+1 |
  | LRFD 2001  *  ===============================    |===       PY=0.9490E+1 |
  |            *                                                PZ=0.3930E+2 |
  |            *  |<---LENGTH (FT)=   25.00 --->|               RY=0.1139E+1 |
  |*************                                                RZ=0.3602E+1 |
  |                                                                          |
  |                104.7 (KIP-FEET)                                          |
  |PARAMETER        |               L1  L1  L1                  CAPACITIES   |
  |IN KIP  INCH     |                                           IN KIP  INCH |
  |---------------  +           L1              L1              -------------|
  | KL/R-Y= 263.37  |                                           PNC=0.3692E+2|
  | KL/R-Z=  83.28  +       L1                      L1          pnc=0.0000E+0|
  | UNL   =   1.00  |                                           PNT=0.3920E+3|
  | CB    =   1.00  +   L1                              L1      pnt=0.0000E+0|
  | PHIC  =   0.85  |                                           MNZ=0.1273E+4|
  | PHIB  =   0.90  +                                           mnz=0.1256E+4|
  | FYLD  =  36.00  |L0                                     L0  MNY=0.2362E+3|
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   mny=0.0000E+0|
  | DFF =     0.00  -5.8                                        VN =0.1547E+3|
  | dff =     0.00               ABSOLUTE MZ ENVELOPE           vn =0.0000E+0|
  |                                 (WITH LOAD NO.)                          |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE       0.0        16.8        0.0         0.0       104.7      |
  |   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        LRFD-H1-1B-C     0.987              1               |
  |          0.00 C          0.00      -104.69            12.50              |
  |*                                                                        *|
  |**************************************************************************|
  |                                                                          |
  |--------------------------------------------------------------------------|