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24 November, 08:21

Due to loading, a line segment has length 2 m with constant normal strain 0.25. What is the original length of the line segment? Due to loading, a line segment has length 2 with constant normal strain 0.25. What is the original length of the line segment? 1.60 m 1.50 m 1.75 m 2.67 m 2.50 m 2.25 m

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  1. 24 November, 11:57
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    Answer: A

    Original length = 1.60 m

    Explanation: given that due to loading, a line segment has length 2 with constant normal strain 0.25

    Strain is the ratio of extension to original length. That is,

    Strain = e/L

    If a line segment has length 2, that means:

    e + L = 2

    e = 2 - L

    And given that the strain = 0.25

    Substitute all the parameters into the formula

    0.25 = (2 - L) / L

    Cross multiply

    0.25L = 2 - L

    Collect the like terms

    0.25L + L = 2

    1.25L = 2

    L = 2 / 1.25

    L = 1.6 m

    Therefore, original length is 1.6 metres
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