# Thermal Stress

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Thermal stress, abbreviated as $$\sigma$$ (Greek symbol sigma), is resulting from non uniform distribution of temperature.

## thermal Stress formula

 $$\large{ \sigma = \alpha \; E \; \Delta T }$$

### Where:

 Units English Metric $$\large{ \sigma }$$  (Greek symbol sigma) = thermal stress $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$ $$\large{ E }$$ = elastic modulus $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$ $$\large{ \Delta T }$$ = temperature differential $$\large{F}$$ $$\large{C}$$ $$\large{ \alpha }$$  (Greek symbol alpha) = thermal expansion coefficient $$\large{\frac{in}{in-F}}$$ $$\large{\frac{mm}{mm-C}}$$