# Hoops stress

A steel ring of outer diameter 300mm and internal diameter of 200mm is shrunked unto a solid steel shaft , the interference is arranged such that the radial pressure between the meeting surfaces will not fall bellow 300MN/m^2 while the assembly rotates in circles. If the maximum circumferencial stress on the inside of d surface of the ring is limited to 240MN/m^2. Determine the maximum speed at which the assembly can be rotated . Assuming that no relative slip occur between the shaft and the ring. ( density of steel : 7470kg/m^3 , poisson ratio : 0.3 , youngs modulus of steel : 208GN/m^2 )

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