Thermal Expansion Coefficient of Concrete

αc=0.0000108 1/K\alpha_{c} = 0.0000108\ \text{1/K}
Value10.8 ppm/K (0.0000108 1/K)
StatusTypical value: varies by about ± 2 ppm/K in practice
SourceFHWA-HIF-15-016, Post-Tensioned Box Girder Design Manual (2016), section 2.1.7.1: 6.0 × 10⁻⁶ per °F for normal-weight concrete (AASHTO LRFD 5.4.2.2), which is 10.8 × 10⁻⁶ per K; FHWA's PCC pavement research page gives 7.4 to 13 × 10⁻⁶ per °C by aggregate
CategoriesMaterial PropertiesEngineering & Trade
Thermal Expansion Coefficient of Concrete in every thermal expansion coefficient unit
UnitValue
part per million per kelvin10.8 ppm/K
part per million per Celsius degree10.8 ppm/°C
per kelvin0.0000108 1/K
per Celsius degree0.0000108 1/°C
part per million per Fahrenheit degree6 ppm/°F
microinch per inch per Fahrenheit degree6 μin/(in·°F)
percent per Celsius degree0.00108 %/°C
percent per Fahrenheit degree0.0006 %/°F
per Fahrenheit degree0.000006 1/°F
per Rankine degree0.000006 1/°R

Learning zone

Reinforced concrete only works because concrete and steel expand at nearly the same rate: about 10.8 µm/(m·K) against steel's 11.7. If they differed by much, every temperature swing would debond the bars or crack the cover, and the material would have been abandoned in the nineteenth century. The near-match is a genuine coincidence of materials science, and it is worth appreciating.

The value depends mostly on aggregate, which is 70 % of the volume: siliceous gravel mixes run 11–13 µm/(m·K), limestone 6–9, and the difference is large enough that pavement design and bridge-deck crack prediction now call for a measured coefficient rather than a default. Moisture state moves it too. Separately, the reason concrete cracks is rarely thermal expansion alone but drying shrinkage (400–800 µm/m over months, equivalent to a 40–80 °C temperature drop) which is what control joints, shrinkage reinforcement and curing regimes are fighting.

Revised 8 November 2026
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formula.expert. (2026, November 8). Thermal Expansion Coefficient of Concrete. https://formula.expert/constants/thermal-expansion-concrete