GATE ME 2016 Set 2 — Question 33
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Strength of Materials → Stress, Strain & Elastic Constants → Stress & Strain
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Question
The value of true strain produced in compressing a cylinder to half its original length is
Correct answer
(B) - 0.69
Solution
True strain () is defined as the natural logarithm of the ratio of final length to initial length:Given that the cylinder is compressed to half its original length:Substituting this into the formula:Rounding to two decimal places, we get . The negative sign indicates a compressive strain.
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