To solve the problems below, you will need to know the average coefficient of linear expansion, a, which differs for different materials. We define L to be the length of the object, and a to be the fractional change per unit length for a temperature change of 1°C. For aluminum, α = 24 × 10-6/°C, and for steel, a = 11 × 10-6/°C. The change in length ΔL of a material is given by ΔL = LαΔT. Suppose that the 1.3-km main span of steel for the Golden Gate Bridge had no expansion joints. Show that for an increase in temperature of 20°C the bridge would be nearly 0.3 m longer.
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