Problem # p024
Shear and Axial Stress , Hole Puncher
The production of coins starts with punching holes into a sheet of metal and saving the punched out disk to be processed further.
In the figure to the left the punch of diameter
is pushed through a metal sheet of thickness
by a force
to create a disk of diameter
How big must the force
the ultimate shear stress the material of the metal sheet is
the diameter of the disk
d = 15 mm
the thickness of the metal sheet
t = 2 mm
At the same value of
, how big is the axial stress in the punch ?