Thermal Expansion Coefficient of Carbon Steel
| Value | 11.7 ppm/K (0.0000117 1/K) |
| Status | Typical value: varies by about ± 0.5 ppm/K in practice |
| Source | FHWA, 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 |
| Categories | Material PropertiesEngineering & Trade |
| Unit | Value |
|---|---|
| part per million per kelvin | 11.7 ppm/K |
| part per million per Celsius degree | 11.7 ppm/°C |
| per kelvin | 0.0000117 1/K |
| per Celsius degree | 0.0000117 1/°C |
| part per million per Fahrenheit degree | 6.5 ppm/°F |
| microinch per inch per Fahrenheit degree | 6.5 μin/(in·°F) |
| percent per Celsius degree | 0.00117 %/°C |
| percent per Fahrenheit degree | 0.00065 %/°F |
| per Fahrenheit degree | 0.0000065 1/°F |
| per Rankine degree | 0.0000065 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.
Expansion Loop Leg Length (Guided Cantilever)
Thermal Linear Expansion
Thermal Stress in a Restrained Member
Cite this page
formula.expert. (2026, November 8). Thermal Expansion Coefficient of Carbon Steel. https://formula.expert/constants/thermal-expansion-carbon-steel