Thermal Expansion Coefficient of Concrete
| Value | 10.8 ppm/K (0.0000108 1/K) |
| Status | Typical value: varies by about ± 2 ppm/K in practice |
| Source | FHWA-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 |
| Categories | Material PropertiesEngineering & Trade |
| Unit | Value |
|---|---|
| part per million per kelvin | 10.8 ppm/K |
| part per million per Celsius degree | 10.8 ppm/°C |
| per kelvin | 0.0000108 1/K |
| per Celsius degree | 0.0000108 1/°C |
| part per million per Fahrenheit degree | 6 ppm/°F |
| microinch per inch per Fahrenheit degree | 6 μin/(in·°F) |
| percent per Celsius degree | 0.00108 %/°C |
| percent per Fahrenheit degree | 0.0006 %/°F |
| per Fahrenheit degree | 0.000006 1/°F |
| per Rankine degree | 0.000006 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.
Cite this page
formula.expert. (2026, November 8). Thermal Expansion Coefficient of Concrete. https://formula.expert/constants/thermal-expansion-concrete