Design Calculation Example $3$

A solid steel disc, $300mm$ in diameter and of small constant thickness, has a steel ring of $450mm$

outer diameter and of the same thickness shrunk on to it by heating and allowing to cool. If the

interference pressure approaches zero at a rotational speed of $3,000$ R$.$P$.$M$.,$ calculate:

$($i$)$ The radial pressure at the interface when the disc and ring assembly is stationary.

$($ii$)$ The difference in diameter of the mating surfaces of the ring and disc before assembly.

Given, for both disc and ring:

Young's modulus $E=207G\frac{N}{m^2},$ mass density $=7470k\frac{g}{m^3},v=0\mathrm{.}3.$

Assume that the following relationships apply: