698 tools
All

Linear Thermal Expansion Calculator

Find ΔL = α L ΔT and the new length of a bar under a temperature change.

 

 

 

ΔL (m)
New length (m)

About this calculator

Use this calculator for unconstrained linear expansion: ΔL = α L ΔT, then the new length is L + ΔL.

α for steel is about 1.2×10⁻⁵ /K. A 1 m bar warmed 50 K grows about 0.6 mm. ΔT in kelvin equals the same interval in °C. This is the small-strain linear model, not the stress in a constrained bar.

Length (m): Original length, in metres.

α (1/K): Linear expansivity. Steel ≈ 1.2×10⁻⁵.

ΔT (K): Temperature change, in kelvin (same size as °C).

ΔL (m): Change of length.

New length (m): L + ΔL.