Thermal Expansion Calculator

Linear, volumetric, thermal stress & expansion gap — 13 engineering materials

Calculate change in length of a solid due to temperature change

Material

Geometry & Temperature

Key Formulas

Linear Expansion

ΔL = α × L₀ × ΔT

Volumetric Expansion

ΔV = β × V₀ × ΔT (β ≈ 3α for solids)

Thermal Strain

ε = α × ΔT

Thermal Stress (fully constrained)

σ = E × α × ΔT

Expansion Gap (×1.25 safety factor)

Gap = 1.25 × ΔL

Temperature Conversion

ΔT(°C) = ΔT(°F) × 5/9

Material Thermal Expansion Reference

Materialα (µm/m·°C)E (GPa)Notes
Mild Steel (A36)12200Standard engineering material
Stainless Steel 30417.2193Standard engineering material
Stainless Steel 31616193Standard engineering material
Aluminium 606123.668.9Standard engineering material
Copper (pure)17117Standard engineering material
Cast Iron11170Standard engineering material
Brass (C260)19.1100Standard engineering material
Titanium (Grade 5)8.6114Low expansion
Concrete1230Standard engineering material
HDPE Pipe1500.8High expansion — needs joints
PVC Pipe523High expansion — needs joints
Water (liquid)690High expansion — needs joints

Frequently Asked Questions

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Quick Reference

Steel (A36): 12 µm/m·°C

SS304: 17.2 µm/m·°C

Aluminium: 23.6 µm/m·°C

HDPE Pipe: 150 µm/m·°C

PVC Pipe: 52 µm/m·°C

Formula: ΔL = α·L₀·ΔT

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