L07: Plate Thermal Analysis

Owned by Gokhan Alkan (Unlicensed)
Mar 11, 2019

An equilateral triangular plate is simply supported at the edges. The plate is subjected to temperature variation along the thickness. The variation of temperature from top to bottom is 450o F. The coefficient of thermal expansion is 0.000012 in/in/oF. The material elastic modulus and Poisson's Ratio are 10,000,000 psi and 0.30 respectively. Determine the deflections along the base which is on X-axis.



Due to the symmetry, half of the plate is taken for the model. The model has 36 joints and 28 plate elements.

The edges from joint 1 to 36 and 8 to 36 are the simply supported edges. The restraints for the joints from 1 to 8 are specified to preserve the symmetry of the plate.

Linear static analysis with one (1) load case is performed.

Modulus of Elasticity = 10,000,000 psi
Poisson's Ratio = 0.30
Shear Modulus = 3,841,615 psi
Coefficient of Thermal Expansion = 0.000012 in/in/oF
Plate Thickness = 0.10 inch
Temperature Gradient = 450o F for 0.10 inch thickness


The temperature gradient is the change of temperature for the unit thickness of the plate. The variation through 0.10 inches is 450 o F, then for one inch thick (unit thickness), the temperature gradient is 4500 o F.



Tested Features


Sources

  • Maulbetsch, J.L., "Thermal Stresses in Plates", Journal of Applied Mechanics, Vol. 57, June 1935, pp. A141-A146.
  • LARSA 4D