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

Hole size nbsp;= 30mm Sheet thickness, t nbsp;= 3 mm Shear strength nbsp;= 400 MPa Clearance: C nbsp;= 0.0032t√(2 τ)= 0.0032 × 3√(2 × 400) nbsp; ...

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Designing of Punch and Die Dimensions

A 30 mm diame...

Question

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

30.271 mm

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30 mm

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30.542 mm

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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:

$C = 0.0032 t \sqrt{2 τ} = 0.0032 \times 3 \sqrt{2 \times 400}$

$= 0.271$ 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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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____

The correct option is A 30.271 mmHole size = 30mm Sheet thickness, t = 3 mm Shear strength = 400 MPa Clearance: C=0.0032t√2τ=0.0032×3√2×400 =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

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