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Textbook Expert
Textbook ExpertVerified Tutor
17 Jan 2022

Given information

Given that the highway is built of slabs having length,

   

Temperature ranges from to

Step-by-step explanation

Step 1.

When the concrete cools in the winter, it will contract, and there will be no danger of buckling. Thus, the low temperature in the winter is not a factor in the design of the highway. But when the concrete warms in the summer, it will expand. A crack must be left between the slabs equal to the increase in length of the concrete as it heats from to .

To calculate the change in length, we can use the formula,

 

Where  is the change in length, is the coefficient of thermal expansion, is the original length and is the change in temperature. 

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