GATE ME 2025 Set 1 — Question 39
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Manufacturing Processes → Forming → Extrusion & Drawing
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Question
Wire drawing operation is performed on a perfectly plastic metal without any strain hardening. Assuming no friction and no redundant work, the maximum possible percentage reduction in area in a single pass is closest to
Correct answer
(B) 63.2
Solution
For an ideal wire drawing process (no friction, no redundant work) of a perfectly plastic material with yield stress , the drawing stress is given by:where is the initial area and is the final area.The maximum possible drawing stress is limited by the yield strength of the material at the exit to prevent fracture or yielding of the drawn wire:The percentage reduction in area () is:The closest option is 63.2.
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