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The_Fritz

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## Homework Statement

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?

## Homework Equations

[tex]\Delta[/tex]L=[tex]\alpha[/tex]L_0[tex]\Delta[/tex]T

## The Attempt at a Solution

Coefficient of Linear expansion ([tex]\alpha[/tex])for concrete at 20 deg C = 12*10^-6

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

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

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