# SS-V: 4030 Coupled Thermal-Structural Analysis - Constrained Straight Bar Under Linear Temperature Field

Test No. VTL04Determine stresses at the top and bottom of a constrained straight bar under linear temperature field.

## Definition

A straight 1 x 1 x 10 mm bar (Figure 1) is constrained at ends and is thermally loaded. A uniform temperature of 100 degress Celsius is applied to the top of the bar, and a uniform temperature of -100 degrees Celsius is applied to the bottom of the bar. The rest of the bar surfaces are 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

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

Stress at the top/bottom of the bar (compression/tension) [pa] | 2.520E+08 | 2.516E+08 | -0.17% |

* Ref Solution is a 1D model

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