§4.3 Rings, Discs and Cylinders Subjected to Rotation and Thermal Gradients Subtracting and simplifying,


Substituting in eqns. (4.7) and (4.8) yields the final equation for the stresses or = (3 + v)

(b) Maximum stresses

The maximum hoop stress occurs at the inside radius where r — R\, i.e.

As the value of the inside radius approaches zero the maximum hoop stress value approaches

This is twice the value obtained at the centre of a solid disc rotating at the same speed. Thus the drilling of even a very small hole at the centre of a solid disc will double the maximum hoop stress set up owing to rotation. At the outside of the disc when r = R2

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