2 2 parr t B pw2r2

The only difference to the previous treatment is the conditions which are required to evaluate the constants A and B since, in this case, B is not zero.

The above equations are similar in form to the LamÃ© equations for pressurised thick rings or cylinders with modifying terms added. Indeed, should the condition arise in service where a rotating ring or cylinder is also pressurised, then the pressure and rotation boundary conditions may be substituted simultaneously to determine appropriate values of the constants A and B.

However, returning to the rotation only case, the required boundary conditions are zero radial stress at both the inside and outside radius, i.e. at r = R<

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