Question

A rectangular hole of size $100$ mm $timses$ $50$ mm is to be made on a $5$ mm thick sheet of steel having ultimate tensile strength and shear strength of $500$ Mpa and $300$ MPa, respectively. The hole is made by a punching process. Neglecting the effect of clearance, the punching force (in kN) is

• A. $300$
• B. $450$
• C. $600$
• D. $750$

Answer 1

The correct option is B $450$



Shear area:
$=P\times t$
$=2(100+50)\times 5=1500m{m}^2$
Punching force:
$F=\tau \times A_S=300\times 1500$
$=450\times {10}^{3}N=450$ kN