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:

Thermal Stress in a Plate
INPUT PARAMETERS
Parameter Symbol Value Unit
Elastic Modulus E
Linear Expansion Coefficient α
Initial Temperature t0
Final Temperature t1
Poisson's Ratio  ν ---



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

Note: Use dot "." as decimal separator.
Note: Negative stresses are compression stresses.

 



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)

Reference: