V. Support Reactions for a Simple Frame

Find support reactions due to a load at the free end of a cantilever bent plate with an intermediate support.

Reference

Timoshenko, S., Strength of Materials, Part 1, D. Van Nostrand Co., Inc., 3^rd edition, 1956, page 346, problem 2.

Problem

Determine the reaction of the system as shown in the figure.

P = 1 kip

L = 10 in

Cantilever model

Comparison

Table 1. Comparison of results
Result Type	Theory	STAAD.Pro	Difference
R_x (kips)	1.5	1.5	none

STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\03 Frames\Support Reactions for a Simple Frame.STD is typically installed with the program.

STAAD PLANE : SUPPORT REACTIONS FOR A SIMPLE FRAME
START JOB INFORMATION
ENGINEER DATE 17-Sep-18
END JOB INFORMATION
*
*  REFERENCE 'STRENGTH OF MATERIALS' PART-1 BY S. TIMOSHENKO
*  PAGE 346 PROBLEM NO. 2. THE ANSWER IN THE BOOK AFTER
*  RECALCULATION = 1.5
*
UNIT INCHES KIP
JOINT COORDINATES
1 0 0 0; 2 0 10 0; 3 0 20 0; 4 10 20 0;
MEMBER INCIDENCES
1 1 2; 2 2 3; 3 3 4;
MEMBER PROPERTY AMERICAN
1 TO 3 PRIS AX 10 IZ 100
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 3000
POISSON 0.17
END DEFINE MATERIAL
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
1 FIXED
2 FIXED BUT FY MZ
LOAD 1
JOINT LOAD
4 FY -1
PERFORM ANALYSIS
PRINT SUPPORT REACTION
FINISH

STAAD Output

   SUPPORT REACTIONS -UNIT KIP  INCH    STRUCTURE TYPE = PLANE
   -----------------
 JOINT  LOAD   FORCE-X   FORCE-Y   FORCE-Z     MOM-X     MOM-Y     MOM Z
      1    1      1.50      1.00      0.00      0.00      0.00     -5.00
      2    1     -1.50      0.00      0.00      0.00      0.00      0.00
   ************** END OF LATEST ANALYSIS RESULT **************