Thermal Expansion Coefficient of Carbon Steel

αsteel=0.0000117 1/K\alpha_{\mathrm{steel}} = 0.0000117\ \text{1/K}
Value11.7 ppm/K (0.0000117 1/K)
StatusTypical value: varies by about ± 0.5 ppm/K in practice
SourceFHWA, AASHTOWare Opis input sample for the FHWA LRFD Steel Bridge Design Example: 6.5 × 10⁻⁶ per °F (11.7 × 10⁻⁶ per K); FHWA's PCC pavement research page gives steel as 11 to 12 × 10⁻⁶ per °C
CategoriesMaterial PropertiesEngineering & Trade
Thermal Expansion Coefficient of Carbon Steel in every thermal expansion coefficient unit
UnitValue
part per million per kelvin11.7 ppm/K
part per million per Celsius degree11.7 ppm/°C
per kelvin0.0000117 1/K
per Celsius degree0.0000117 1/°C
part per million per Fahrenheit degree6.5 ppm/°F
microinch per inch per Fahrenheit degree6.5 μin/(in·°F)
percent per Celsius degree0.00117 %/°C
percent per Fahrenheit degree0.00065 %/°F
per Fahrenheit degree0.0000065 1/°F
per Rankine degree0.0000065 1/°R

Learning zone

A 100 m steel pipe run heated 100 °C grows 117 mm: the length of a fist. That is the entire reason for expansion loops, guides, anchors and bellows in piping, and for expansion joints in bridges and rails. Restrain the same steel completely and you get thermal stress σ = E α ΔT, which for 100 °C is 200e9 × 1.17e-5 × 100 = 234 MPa: enough to yield A36 outright, with no external load at all. Note that this stress is independent of length and cross-section, which surprises people every time.

The coefficient itself is stable and unglamorous, carbon steel varies by only a few percent across grades, but the companion values are not. Austenitic stainless expands about 30 % more at room temperature, aluminium twice as much, and PVC about four and a half times as much, so dissimilar-material assemblies are where expansion causes trouble: stainless pipe on carbon steel supports, aluminium cladding on steel framing, plastic pipe in a metal hanger system. Concrete is the fortunate exception, expanding at almost exactly the same rate as steel, which is what makes reinforced concrete possible at all.

Revised 8 November 2026
Cite this page

formula.expert. (2026, November 8). Thermal Expansion Coefficient of Carbon Steel. https://formula.expert/constants/thermal-expansion-carbon-steel