Contact of two cylinders with their axes parallel to the y-coordinate:

For ,

,so that the pressure distribution is obtained as,

	(10.11)

The above expression for pressure distribution is not yet complete, because, the width of contact is not known. Rather the relation between and not yet established.

However, it is known that pressure should be positive all through the area of contact, so that,

, and hence

Therefore, the total pressure has to be equal to

	(10.12)

And the pressure distribution at the contact can be deduced as,

	(10.13)

The shear stresses can be obtained as,

	(10.14)

Equation 10.13 represents the Hertzian pressure distribution between two parallel contacting cylinders.