Science & engineering

Linear thermal expansion

Estimate a length change using a supplied expansion coefficient.

Linear thermal expansion
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A clear answer. Here’s how.

First-order length change ΔL = αLΔT, converting the coefficient from µm/(m·K) to 1/K. Final length = L+ΔL. Assumes a constant coefficient and a suitable temperature range; does not model constraints, stress or phase changes.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Original length (m)
2
Linear coefficient (µm/m·K)
12
Temperature change (K or °C difference)
50

Example result

Length change (m)
0.0012
Length change (mm)
1.2
Estimated final length (m)
2.0012