SS-V: 4000 Thermally Loaded Support Structure
Test No. VTL01 Find stresses in a support stucture with a rigid beam, steel, and copper bars subjected to load and uniform temperature rise.
Definition
The steel bar material properties are:
- Properties
- Value
- Modulus of Elasticity
- 30.e+6 psi
- Coefficient of thermal expansion
- 70.e-7 in/in-F
- Copper bar correspondingly
- 16.e+6 psi and 92.e-7 in/in-F
Total load applied to the rigid beam is 4000 lbf with a temperature change of 10 degrees Fahrenheit. The bars have cross-sectional area 0.1 inch2 and length 20 inch.
Structure components are simulated by solids. Dimensions of the support bars are 20 x 0.5 x 0.2 inch, rigid beam are 12 x 1 x 1 inch. The rods are equally spaced at a distance of 5 inch. Rigid beam is simulated as an absolutely rigid body.
Results
| Stress | Ref Solution | SimSolid | % Difference |
|---|---|---|---|
| Steel [psi] | 19695.0 | 19700.0 | 0.03% |
| Copper [psi] | 10152 | 10151 | -0.01% |
Figure 1. Rigid beam
Figure 2. Distribution of max principal stress in the structure
1 S. Timoshenko, Strength
of Material, Part 1, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand
Co., Inc., New York, NY, 1955, pg. 30, problem 9.