GATE ME 2017 Set 1 — Question 48
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Manufacturing Processes → Forming → Sheet Metal Operations
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Question
A mm deep cylindrical cup with diameter of mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto decimal points accuracy) of the blank is ________ mm.
Correct answer
28.71 to 28.73
Solution
The blank diameter is calculated by equating the surface area of the circular blank to the total surface area of the finished cylindrical cup (bottom area + side wall area), assuming the sheet thickness remains constant.Given:
Cup diameter () = mm
Cup depth () = mmArea of blank = Area of cup bottom + Area of cup side wallSubstituting the given values:Rounding to two decimal places, the diameter of the blank is mm.
Cup diameter () = mm
Cup depth () = mmArea of blank = Area of cup bottom + Area of cup side wallSubstituting the given values:Rounding to two decimal places, the diameter of the blank is mm.
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