This is a two dimensional truss structure with 32 feet height and 96 feet span. The top chord of the truss is subjected to temperature rise of 50 degrees Fahrenheit. The coefficient of thermal expansion for the material is 0.0000065 in/in/F. The elastic modulus is 30,000,000 psi. Determine the member forces in the structure.
The material properties of the truss are given as:
The sectional properties are:
The truss model has 8 joints and 12 truss elements. The rotations (about X, Y and Z) and translation in Y-direction are eliminated. Joint 1 is pin support and joint 8 is a roller in horizontal direction.
The temperature rise on the top chord is specified for elements 13 and 14.
Tested Features
App
Object Link: https://openbrim.org/objidqt27dbteobdk8pidmk4cwb.project
Library
Object Link: https://openbrim.org/objid894neebqisi9ixmnf35aku.libobj
Sources
- Hsieh, Y.Y., "Elementary Theory of Structures," Prentice-Hall, Inc., 1970, pp. 200-202.
- LARSA 4D
Result Comparison
Independent (Hsieh) | Larsa | OpenBrIM | Percent Difference (Larsa vs Independent) | Percent Difference (OpenBrIM vs Independent | |
|---|---|---|---|---|---|
| F1,F2 | 0.00 | 0.00 | 0.00 | 0% | 0% |
| F3 | -21.1 | -21.06 | -21.06 | -0,1896% | -0,1896% |
| F4,F5,F6,F7 | 0.00 | 0.00 | 0.00 | 0% | 0% |
| F8 | -28.1 | -28.08 | -28.08 | -0,0712% | -0,0712% |
| F9 | +35.1 | +35.1 | +35.1 | 0% | 0% |
| F10 | +35.1 | +35.1 | +35.1 | 0% | 0% |
| F11 | -28.1 | -28.08 | -28.08 | -0,0712% | -0,0712% |
| F12,F13 | 0 00 | 0 00 | 0 00 | 0% | 0% |
| F14 | -21.1 | -21.06 | -21.06 | -0,1896% | -0,1896% |