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21 November, 23:28

The bridges often have expansion joints to account for the changes in size due to temperature changes. Suppose a bridge is supported by steel girders; the central span has a girder that is 32 m long. If the girder warms from 0∘C to 32 ∘C, by how much does its length increase?

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  1. 21 November, 23:45
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    1.33 cm

    Explanation:

    L = 32 m, T 1 = 0 degree C, T2 = 32 degree C

    Thermal expansion coefficient of steel, α = 13 x 106-6 per degree C

    Let ΔL be the increase in length.

    ΔL = L x α x ΔT

    ΔL = 32 x 13 x 10^-6 (32 - 0)

    ΔL = 0.0133 m = 1.33 cm
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