GATE ME 2020 Set 1 — Question 32
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Manufacturing Processes → Forming → Sheet Metal Operations
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Question
A sheet metal with a stock hardness of has to be sheared using a punch and a die having a clearance of between them. If the stock hardness of the sheet metal increases to , the clearance between the punch and the die should be ______ .
Correct answer
1 to 1.3
Solution
The clearance in shearing is given by the empirical relation , where is the sheet thickness and is the shear strength of the material. Since shear strength is approximately proportional to the hardness , we have .Given:
,
Using the proportionality:Rounding to the specified range, the clearance should be approximately .
,
Using the proportionality:Rounding to the specified range, the clearance should be approximately .
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