Explanation:
It is given that,
Length of bridge, L = 91 m
The linear expansion coefficient for concrete is, [tex]\alpha=1.2\times 10^{-5}\ ^{\circ}C^{-1}[/tex]
Change in temperature, [tex]\Delta T=56^{\circ}F=13.33^{\circ}\ C[/tex]
Let [tex]\Delta L[/tex] is the increase in length. The formula is given by :
[tex]\Delta L=L\alpha \Delta T[/tex]
[tex]\Delta L=91\ m\times 1.2\times 10^{-5}\ ^{\circ}C^{-1}\times 13.33^{\circ}\ C[/tex]
[tex]\Delta L=0.0145\ m[/tex]
or
[tex]\Delta L=1.45\ cm[/tex]
So, the expansion in the bridge is 1.45 cm. Hence, this is the required solution.
