# 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.

The material properties are:

**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.

Then the result of
thermal analysis is used as input for structural analysis. In order to make use of
reference data obtained for a 1D model of the bar, the following constraints are
applied: sliding supports are applied to end surfaces of the bar and two vertices at
one end of the bar are constrained in order to eliminate rigid body motion of the
bar (Figure 2).

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

Stress along bar (compression) [pa] | 2.520E+08 | 2.516E+08 | -0.16% |

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