Engineering Tool

Thermal Expansion Calculator

Calculate linear expansion ΔL = α × L₀ × ΔT for metals and piping.

Last reviewed by the myCalculator Editorial Team

Input Parameters

Calculation Results

Length Change (ΔL)
6mm
Final Length (L)
10.006meters
Expansion Coefficient (α)
0.000012
Step-by-Step Calculation Solution
1.Linear expansion formula: ΔL = L₀ × α × ΔT
2.ΔL = 10m × (0.000012) × 50°C = 6 mm

Formula & How Thermal Expansion Calculator Works

Mathematical Formula
ΔL = L₀ × α × ΔT

A material changes length with temperature by ΔL = L₀ × α × ΔT, where α is the coefficient of linear expansion. Steel has α of about 12 × 10⁻⁶ per °C. A 20 m steel beam that warms by 40°C from a cold night to a hot day grows by 20 × 0.000012 × 40 = 0.0096 m, or 9.6 mm. Long structures such as bridges, rail lines, pipelines and fences need expansion joints or gaps to take up this movement and avoid buckling. Aluminium expands about twice as much as steel and concrete about the same, which is why they work together in reinforced concrete. Use the coefficient for your actual material.

How to Calculate Thermal Expansion Calculator (Step-by-Step)
  1. Enter Initial Length (m): Input your target parameter value.
  2. Enter Temperature Change ΔT (°C): Input your target parameter value.
  3. Enter Material Coefficient (α): Input your target parameter value.
  4. Apply Formula: Calculate using ΔL = L₀ × α × ΔT.
  5. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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APA 7th Edition

MyCalculator.com.au. (2026). Thermal Expansion Calculator. Retrieved October 24, 2026, from https://www.mycalculator.com.au/calculators/engineering/thermal-expansion

Harvard (Standard)

MyCalculator.com.au. (2026) 'Thermal Expansion Calculator'. Available at: https://www.mycalculator.com.au/calculators/engineering/thermal-expansion (Accessed: 24 October 2026).

Frequently Asked Questions (FAQs)

Why do bridges have expansion joints?

To prevent thermal buckling when seasonal temperatures rise.

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