Solids of Revolution

We first consider solids of revolution ( ) for which the contact area is circular with radius . The boundary condition for displacement within the contact area is given by

	(8.16)

where is the relative curvature. A distribution of pressure which gives the displacement of the form 8.16 is for which the normal displacement has been obtained as

		(8.17)

Since pressure acting on either body is equal, we add the expressions for displacements on the body 1 and 2

	and	(8.18)

Furthermore we define an equivalent elastic modulus and add the normal displacements, to deduce an expression very similar to 8.16.

	(8.19)

The expressions for and is now readily obtained as,

,		(8.20)

Since in most practical situations we have the data of total load compressing the solids, we obtain it as in equation 5.21:

	(8.21)

Then we can obtain the expressions for , and :

			(8.22)