Mechanical Properties of Solids

Question : 17

Total: 21

Anvils made of single crystals of diamond, with the shape as shown in figure, are used to investigate behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm, and the wide ends are subjected to a compressional force of 50,000 N. What is the pressure at the tip of the anvil?

Solution:

Here, Compressional force, F=5×104N
Diameter, D=5.0×10−4m
∴ radius, r=

=2.5×10−4m
Area, A=πr2=

×(2.5×10−4)2
Pressure at the tip, P=?
Using the relation, P=

, we get P=

5×104

×(2.5×10−4)2

=0.255×1012 Pa
=2.55×1011Pa

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