GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 44 of 65

Marks: +1, -0

The percentage scrap in a sheet metal blanking operation of a continuous strip of sheet metal as shown in the figure _______(correct to two decimal places)

Your Answer:

Validate

Solution:

This rectangle ABCD will be repeated again and again.Sides of this rectangle are

(D+D{/}5)

and

(D+2D{/}5)

A_{t}=

Total Area

=\;{7}/{5} D × \;{6}/{5} D=\;{42}/{25} D^{2}

A_{u}=

Area of blanking Disc

=\;{π D^{2}}/{4}

\%

of scrap

=\;{A_{t}-A_{u}}/{A_{t}} × 100 \%

=[1-\;{({π}/{4})}/{(\;{42}/{25})}] × 100 \%=53.25 \%

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