A cup of 12 mm height and 6 mm diameter is to be made from a sheet metal of 2 mm thickness. The diameter of cup after third draw reduction will be:
By assuming successive possible reductions of 50%, 30% and 25%.
A
9 mm
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B
6.30 mm
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C
4.73 mm
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D
3.97 mm
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Solution
The correct option is C 4.73 mm Blank diameter, D =√d2+4dh =√(6)2+4×6×12=18mm
Cup diameter after 1st draw =18×0.5=9mm
Second draw =9×(1−0.3)=6.3mm
Third draw =6.3(1−0.25)=4.725mm