# SS-V: 5000 Coupled Analysis - Bimetallic Beam Under Thermal Load

Test No. VNL01 Find temperature at the material interface and maximum deflection of the beam.

## Definition

A bimetallic beam consists of two layers of materials with different coefficients of
thermal expansion. The beam is loaded with uniform temperature applied to its top
and bottom surfaces (Figure 1). Sides and ends of the beam are
insulated. One end of the beam is supported by a hinge, the other end is supported
by a sliding hinge.

The layers of materials are: 0.05 x 0.5 x 10 inch

The material properties are:

**Properties: Material 1****Value**- Modulus of Elasticity
- 1.e+7 psi
- Poisson's Ratio
- 0
- Coefficient of Thermal Expansion
- 14.5e-6 1/F
- Thermal Conductivity
- 5 BTU/(hr-in-F)

**Properties: Material 2****Value**- Modulus of Elasticity
- 1.e+7 psi
- Poisson's Ratio
- 0
- Coefficient of Thermal Expansion
- 2.5e-6 1/F
- Thermal Conductivity
- 5 BTU/(hr-in-F)

The temperature at the top and bottom surfaces is 400 degrees F.

## Results

Layers of different materials are simulated by solids.
Hinged supports are simulated by applying immovable edge constraint at contact
surface at one end of the bar (Figure 2a) and sliding edge support at the
other end (Figure 2b).

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

Temperature at Contact [def-F] | 400.00 | 400.00 | 0.00% |

Max Deflection [in] | 0.90 | 0.89 |
-0.88% |

* Ref Solution is 1D model

^{1}B.A. Boley, J.H. Weiner, Theory of Thermal Stress, R.E. Krieger Publishing Co, Malabar, FL, 1985, pg.