2D truss shown below is subjected to various loads. In case 1, the truss is subjected to a uniform temperature rise of 70 degrees Fahrenheit. In case 2, concentrated forces of 10,000 lb. each are applied at the joints of the top chord of the truss. In addition to applied loads, the right support undergoes some settlement relative to the support. The vertical settlement is 0.01 ft down and the horizontal settlement is 0.01 ft towards right. In case 2, the temperature drops 40 degrees F.
Calculate the vertical deflection at the top hinge (at Joint 5).
The material properties for the truss bars are:
Tested Features
App
Object Link : https://openbrim.org/objiddv5jb3xo797953eef4jmia.project
Library
Object Link : https://openbrim.org/objidw03yw72ctm4hzwi2a56ea.libobj
Sources
- Timoshenko, S.P. and Young, D.H., "Theory of Structures,", 2nd ed., McGraw-Hill, New York, 1965, pp. 266-267.
- LARSA 4D
Result Comparison
| Translational disp in global direction at jt 5 (ft) | Timoshenko | LARSA | Openbrim | Percent Difference LARSA vs. Timoshenko | Percent Difference Openbrim vs. Timoshenko |
|---|---|---|---|---|---|
| Load Case 1 | 0.158 | 0.1576 | 0.1576 | 0.25% | 0.25% |
| Load Case 2 | -0.223 | -0.2229 | -0.2229 | 0.04% | 0.04% |