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Science Calculators

Thermal Expansion Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
/°C
m
°C
Verified formula Private

Length change

0.006000

Change in mm
6.000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Thermal Expansion Calculator

The Thermal Expansion Calculator works out your length change, along with 1 related figure in an instant. Enter expansion coefficient, original length and temperature change and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the expansion coefficient.
  2. Enter the original length.
  3. Enter the temperature change.
  4. Read off your length change, together with change in mm — the calculator updates automatically, with no button to press.

Formula

The Thermal Expansion Calculator uses the formula:

Length change = Expansion coefficient × Original length × Temperature change

Worked example

For example, with expansion coefficient of 0 /°C, original length of 10 m and temperature change of 50 °C, the length change is 0.006000.

Inputs used
Expansion coefficient 0 /°C
Original length 10 m
Temperature change 50 °C
Results
Length change 0.006000
Change in mm 6.000

Results are estimates for educational use, not professional advice.

Frequently asked questions

Use ΔL = α × L × ΔT. A 10 m steel bar (α ≈ 0.000012) warming 50°C expands about 0.006 m, or 6 mm.

It is how much a material lengthens per degree, per unit length. Steel is about 12 millionths per °C.

To absorb the length change as temperature varies, preventing buckling or cracking.

This is linear expansion. Area roughly doubles the coefficient and volume roughly triples it.

Enter the expansion coefficient. Enter the original length. Enter the temperature change. Read off your length change, together with change in mm — the calculator updates automatically, with no button to press.

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