# Thermal Expansion of concrete

1. Jan 28, 2010

### The_Fritz

1. The problem statement, all variables and given/known data

A concrete highway is built of slabs 14 m long (20 degrees Celsius)
How wide should the expansion cracks between the slabs be (at 15 deg Celsius) to prevent buckling if the range of temperature is - 30 deg Celsius to 48 deg C?

2. Relevant equations
$$\Delta$$L=$$\alpha$$L_0$$\Delta$$T

3. The attempt at a solution
Coefficient of Linear expansion ($$\alpha$$)for concrete at 20 deg C = 12*10^-6

$$\Delta$$L = (12*10^-6)(14m)(48-15 deg C) = .005544 m

$$\Delta$$L = (12*10^-6)(14m)(-30-15 deg C) = -.00756 m

Total range = .0055m + .0076m = .013m