Question

Determine maximum diameter of hole that can be punched through a plate of 10mm thick,if the punch can withstand a compressive stress of 500mpa and ultimate shear stress of 200mpa

Answer 1

Given data:

$t=10mm$

$\sigma_c=500 Mpa$

$\tau=200 Mpa$

Solution:

as we know that

$\sigma_c\times A_c = \tau\times A_s$

$\sigma_c\times\pi/4 D^2=\tau\times\pi D t$

$500/4 (D)= 200\times 10$

$D= 16 mm$

This is the required diameter of the hole