Question

A bridge is made with segments of concrete 91 m long (at the original temperature). If the linear expansion coefficient for concrete is 1.2 × 10−5 ( ◦C)−1 , how much spacing is needed to allow for expansion for an increase in temperature of 56◦F? Answer in units of cm.

Answer 1

change in length is 3.397 cm

Step-by-step explanation:

Given data

long = 91 m = 9100 cm

coefficient for concrete (a) = 1.2 × 10−5 ( ◦C)−1

temperature = 56 F = (56× 5/9) ◦C

to find out

how much spacing is needed to allow

solution

we know allow space is given by this formula

change in length = coefficient for concrete × given length × temperature .............1

put all value in equation 1

change in length = 1.2 × 10−5 × 9100 × (56× 5/9)

change in length = 3.397 cm

so change in length is 3.397 cm