Thermal Expansion Dehnung Rechner — Formel
## 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.
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.
Lösungsbeispiel
A 1000 mm steel bar (alpha = 12 × 10⁻⁶/°C) heated by 100°C.
- epsilon = 12 × 10⁻⁶ × 100 = 0.0012 (0.12%)
- delta_L = 0.0012 × 1000 = 1.2 mm
- If constrained: sigma = 200000 × 0.0012 = 240 MPa