How much longer would it be fun increase in temperature of 10 degrees Celsius?

Question

Steel expands 1 part in 100,000 for each Celsius degree increase in temperature. Suppose the 1.3 kilometer main span of the Golden Gate Bridge had no Expansion joints. How much longer would it be to increase in temperature of 10 degrees Celsius?

Answer 1

α = linear expansion coefficient of steel, given to be 1/100,000 = 10^-5 for each Celsius degree increase

 

L0 = 1.3 km

 

ΔT = 10 degrees C

 

L = L0 * (1 + αΔT) = (1.3 km) * [1 + (10^-5 / degrees C)(10 degrees C)] = 1.30013 km