Thermal Expansion Calculator

Calculate linear thermal expansion (change in length) from temperature change and coefficient.

m
/°C
°C

Understanding Thermal Expansion

Most materials expand when heated and contract when cooled. Linear thermal expansion describes how the length of a solid object changes in response to a change in temperature. The change in length is proportional to the original length, the temperature change, and a material property called the coefficient of linear expansion (α).

Key Formulas

  • ΔL = α × L₀ × ΔT — Change in length
  • L = L₀ + ΔL — Final length after temperature change
  • ΔT = T_final − T_initial — Temperature change

Common Coefficients of Linear Expansion

Metals

  • • Aluminum: 2.3 × 10⁻⁵ /°C
  • • Steel: 1.2 × 10⁻⁵ /°C
  • • Copper: 1.7 × 10⁻⁵ /°C
  • • Iron: 1.18 × 10⁻⁵ /°C

Other Materials

  • • Glass (ordinary): 0.9 × 10⁻⁵ /°C
  • • Glass (Pyrex): 0.33 × 10⁻⁵ /°C
  • • Concrete: 1.2 × 10⁻⁵ /°C
  • • Brick: 0.55 × 10⁻⁵ /°C

References

The formulas and physical constants used in this calculator are based on established physics principles and verified sources:

Note: This calculator models linear thermal expansion of isotropic solids assuming a constant coefficient of expansion over the temperature range. Real materials may exhibit a temperature-dependent coefficient, anisotropic behavior, or phase changes. Results are approximate and should be verified for critical engineering applications.