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Question

A 30 mm diameter hole is pierced in a t = 3 mm thick steel sheet having shear strength, τ=400 MPa. If the diametral clearance is given by the expression, what is the die diameter____

A
30.271 mm
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B
30 mm
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C
30.542 mm
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D
29.729 mm
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Solution

The correct option is A 30.271 mm
Hole size = 30mm

Sheet thickness, t = 3 mm

Shear strength = 400 MPa

Clearance:

C=0.0032t2τ=0.0032×32×400

=0.271 mm.

Since in piercing operation punch is made exact and clearance is provided on the die.

Size of diameter = 30 + 0.271
= 30.271 mm

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