# THERMAL STRESS IN A UNIFORM PLATE

Thermal Stress in a Uniform Plate Calculator has been developed to calculate stress of a uniform plate (edges fixed) when the temperature of the plate is uniformly changed.

If the temperature of a plate, whose edges are fixed, is increased by ∆T, the plate cannot expand due to restraints. The fixed ends exert forces on the plate to keep it from expansion. Thus, a state of stress is created in the plate. This thermal stress depends to the temperature change ∆T, coefficient of thermal expansion (α), elastic modulus (E) and Poisson's ratio (ν) of plate material.

##### Calculator:

 INPUT PARAMETERS Parameter Symbol Value Unit Elastic Modulus E GPa ksi Linear Expansion Coefficient α m/m°C in/in°F Initial Temperature t0 °C °F Final Temperature t1 Poisson's Ratio ν ---

 OUTPUT PARAMETERS Parameter Symbol Value Unit Thermal Stress σT --- MPa psi ksi Temperature Change ∆T --- ---

##### Supplements:

 Link Usage Material Properties Thermal expansion coefficient , elastic modulus and Poisson's ratio values of steels, aluminum alloys, cast irons, coppers and titaniums. Linear Thermal Expansion Calculator Calculates linear thermal expansion of an unrestrained bar when the temperature of the body is uniformly changed. Thermal Stress in a Bar Calculates stress of a restrained bar when the temperature of the bar is uniformly changed.

##### List of Equations:

 Parameter/Condition Symbol Equation Thermal Stress σT σT = -(∆T)αE / (1-ν)