GATE ME 2014 Set 1 — Question 61
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Manufacturing Processes → Forming → Extrusion & Drawing
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Question
A metal rod of initial length is subjected to a drawing process. The length of the rod at any instant is given by the expression, , where is the time in minutes. The true strain rate (in ) at the end of one minute is _______
Correct answer
0.9 to 1.1
Solution
1.Definition of True Strain ():
True strain is given by .2.Substitute the given expression for :
3.Calculate True Strain Rate ():
The true strain rate is the time derivative of the true strain:Using the chain rule:
4.Evaluate at minute:
The true strain rate at the end of one minute is 1.0 .Continue learning with Success Tracker
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