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Question

A bar is compressed to half of its original length, The magnitude of true strain produced in the deformed bar is (correct to two decimal places).

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Solution

L0Initiallength

L=L02Finallength

Truestrain,ϵT=lnLL0=ln⎜ ⎜ ⎜ ⎜(L02)L0⎟ ⎟ ⎟ ⎟
=ln12=0.693

As the examiner mentioned "magnitude", only magnitude will be given 0.693.

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