V. Axially Loaded Column
To find support reactions due to an axial load applied at two locations on a column with both ends pinned.
Reference
Hand calculation using the following reference:
Timoshenko, S., Strength of Materials, Part I, D. Van Nostrand Co., Inc., 3rd Edition, 1956. Page 26, Problem 10.
Problem
Find the support reactions at the end joints 1 and 4.
Comparison
Result | Theory | STAAD.Pro | Difference |
---|---|---|---|
Reaction at Node 1 (lb) | 600 | 600 | none |
Reaction at Node 4 (lb) | 900 | 900 | none |
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Verification Models\01 Beams\Axially Loaded Column.STDis typically installed with the program.
STAAD PLANE :A PINNED-PINNED COLUMN
START JOB INFORMATION
ENGINEER DATE 18-Sep-18
END JOB INFORMATION
*
* REFERENCE: Timoshenko, Strength of Materials, Part 1
* Problem 10, Page 26
*
INPUT WIDTH 79
UNIT INCHES POUND
JOINT COORDINATES
1 48 72 0; 2 48 76 0; 3 48 79 0; 4 48 82 0;
MEMBER INCIDENCES
1 1 2; 2 2 3; 3 3 4;
MEMBER PROPERTY AMERICAN
1 TO 3 PRIS AX 1 IZ 0.0001
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 3e+07
POISSON 0.290909
END DEFINE MATERIAL
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
1 4 PINNED
LOAD 1 AXIAL LOAD
JOINT LOAD
3 FY -1000
2 FY -500
PERFORM ANALYSIS
PRINT SUPPORT REACTION
FINISH
STAAD Output
SUPPORT REACTIONS -UNIT POUN INCH STRUCTURE TYPE = PLANE
-----------------
JOINT LOAD FORCE-X FORCE-Y FORCE-Z MOM-X MOM-Y MOM Z
1 1 0.00 600.00 0.00 0.00 0.00 0.00
4 1 0.00 900.00 0.00 0.00 0.00 0.00