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GATE 2016 ME (ME2) – Question 33

Casting, Forming and Joining Processes · Plastic deformation and yield criteria, hot and cold working · 1 mark · Multiple choice

The value of true strain produced in compressing a cylinder to half its original length is

  1. 0.69
  2. − 0.69
  3. 0.5
  4. − 0.5

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Show answer and explanation

Correct answer: (B) − 0.69

Explanation

True axial strain is ln(Lfinal/Linitial). With final length half the initial length, strain=ln0.5=−0.6931. Compression is negative under the usual tensile-positive convention, so **−0.69, B**. Engineering strain would instead be−0.50.