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The Humber Bridge in England has the world’s longest single span, 1410 m. Calculate the change in length of the steel deck of the span when the temperature increases from -5.0ºC to 18.0ºC.

Short Answer

Expert verified

The change in length of the steel deck when temperature increases from -5.0ºC to 18.0ºC is +0.39 m.

Step by step solution

01

Concept of Linear Expansion in solids.

The linear change in length when the temperature change is given by the linear expansion expression,

L=L0(1+α∆T) ...(i)

Here, L is the expanded length, L0 is the original length, α is the coefficient of expansion of the material and T is the absolute temperature.

02

 Determination of the change in length of the steel deck when temperature increases from -5.0ºC to 18.0ºC.

For steel, the coefficient of linear expansion,

α=1.2×10-5C°-1

Use the values in equation (i),

∆L=1.2×10-5C°-11410m18.0°C--5°C=+0.39m

Thus, the length increases with temperature by +0.39 m.

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