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27 August, 22:21

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.

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  1. 28 August, 01:41
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    change in length is 3.397 cm

    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
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