# SS-V: 4020 Coupled Thermal-Structural Analysis - Constrained Straight Bar Under Uniform Temperature

Test No. VTL03 Determine stresses along a constrained stright bar under uniform temperature.

## Definition

A straight 1 x 1 x 10 mm bar (Figure 1) is constrained at ends and is thermally loaded. A temperature change of 100 degrees Celsius is applied to one end of the bar and the rest of the bar surface is insulated.

**Properties****Value**- Modulus of Elasticity
- 2.1e+11 pa
- Poisson's Ratio
- 0.3
- Coefficient of thermal expansion
- 1.2e-5 m/m-C
- Thermal conductivity
- 43 W/m-K

## Results

The bar is simulated using a 3D solid model. Thermal analysis is performed first. Due to applied thermal conditions, the bar reaches a constant temperature of 100 degrees Celsius everywhere.

Ref Solution | SimSolid | % Difference | |
---|---|---|---|

Stress along bar (compression) [pa] | 2.520E+08 | 2.519E+07 | -90.00% |

^{1}W.C. Young, R.G. Budynas, Roark’s Formulas for Stress and Strain, Seventh Edition, McGraw-Hill Book Co., Inc., 2001, p. 759.