GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 37 of 65

Marks: +1, -0

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).

Solution:

L_{0} →

Initial length

L=\;{L_{0}}/{2} →

Final length
true strain

=E_{T}=In \;{L}/{L_{0}}=In[\;{({L_{0}}/{2})}/{L_{0}}]=In \;{1}/{2}

=-0.693

As examiner mentioned "magnitude" only magnitude will be given

0.693 .

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