Using the accepted value of alpha=1.2*10^-5/K, calculate the total expansion of

Question

Using the accepted value of alpha=1.2*10^-5/K, calculate the total expansion of a 4 mile steel bridge if the temperature changed from -30F to 130F. Give answer in meters. Using the accepted value of alpha=1.2*10^-5/K, calculate the total expansion of a 4 mile steel bridge if the temperature changed from -30F to 130F. Give answer in meters. Using the accepted value of alpha=1.2*10^-5/K, calculate the total expansion of a 4 mile steel bridge if the temperature changed from -30F to 130F. Give answer in meters.

Explanation / Answer

1mile=1609.344m

4mile=4×1609.344m=6437.376m

Alpha=1.2×10^-5/K

Change in length=alpha×orignal length×change in temp.........eq1

Change in temp

32F=273.15K

30F=272.0388889K

130=327.5944K

So change in temp=599.633K

using eq1

change in length=1.2×10^-5×6437.376×599.633=46.32m

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