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V. 2D Portal Reactions Sidesway 2

Find the maximum moment due to a concentrated load on the horizontal member in a 1x1 bay plane frame.

Reference

McCormac, J. C., Structural Analysis, Intext Educational Publishers, 3rd edition, 1975, page 385, problem 22 - 6.

Problem

Determine the maximum moment in the structure.

P = 30 kip

L1 = 20 ft, L2 = 30 ft

E and I same for all members

Unequal leg bay model

Comparison

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
MMax (ft·kip) 69.40 69.44 negligible

STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\03 Frames\2D Portal Reactions Sidesway 2.STD is typically installed with the program.

STAAD PLANE : 2D PORTAL REACTIONS SIDEWAYS
START JOB INFORMATION
ENGINEER DATE 17-Sep-18
END JOB INFORMATION
*
* PLANE FRAME WITH SIDESWAY. REFERENCE 'STRUCTURAL ANALYSIS'
* BY JACK McCORMACK. PAGE 385 PROB 22-6.
* ANSWER - MAX BENDING IN MEMB 1 = 69.4 KIP-FT
*
UNIT FEET KIP
JOINT COORDINATES
1 0 10 0; 2 0 30 0; 3 30 30 0; 4 30 0 0;
MEMBER INCIDENCES
1 1 2; 2 2 3; 3 3 4;
MEMBER PROPERTY AMERICAN
1 TO 3 TABLE ST W12X26
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 4.176e+06
POISSON 0.3
END DEFINE MATERIAL
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
1 4 FIXED
LOAD 1 VERTICAL LOAD
MEMBER LOAD
2 CON Y -30 10
PERFORM ANALYSIS
PRINT MEMBER FORCES
FINISH

STAAD Output

   MEMBER END FORCES    STRUCTURE TYPE = PLANE
   -----------------
   ALL UNITS ARE -- KIP  FEET     (LOCAL )
  MEMBER  LOAD  JT     AXIAL   SHEAR-Y  SHEAR-Z   TORSION     MOM-Y      MOM-Z
      1    1     1     20.09     -3.74     0.00      0.00      0.00      -5.33
                 2    -20.09      3.74     0.00      0.00      0.00     -69.44
      2    1     2      3.74     20.09     0.00      0.00      0.00      69.44
                 3     -3.74      9.91     0.00      0.00      0.00     -66.66
      3    1     3      9.91      3.74     0.00      0.00      0.00      66.66
                 4     -9.91     -3.74     0.00      0.00      0.00      45.50