Thermal Expansion Strain Calculator

Calculate the thermal strain and length change in a material due to a temperature difference.

×10⁻⁶/°C
°C
mm

Thermal Strain (epsilon)

0.001200

Length Change (delta L)1.2000 mm
Thermal Stress if Fully Constrained (E=200 GPa)240.00 MPa

Thermal Strain (epsilon) vs Coefficient of Thermal Expansion (alpha)

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Formula

## Thermal Expansion and Strain Materials expand or contract when their temperature changes. The thermal strain is proportional to the temperature change and the coefficient of thermal expansion (CTE). ### Formula **epsilon_thermal = alpha × delta_T** **delta_L = alpha × delta_T × L** where alpha is the CTE, delta_T is the temperature change, and L is the original length. If the component is constrained from expanding, a thermal stress develops: sigma = E × alpha × delta_T.

Esempio Risolto

A 1000 mm steel bar (alpha = 12 × 10⁻⁶/°C) heated by 100°C.

  1. 01epsilon = 12 × 10⁻⁶ × 100 = 0.0012 (0.12%)
  2. 02delta_L = 0.0012 × 1000 = 1.2 mm
  3. 03If constrained: sigma = 200000 × 0.0012 = 240 MPa