Stress and Strain in Spinning Paraboloid Dishes

The following is an investigation to determine completely the state of stress and strain in spinning paraboloid dishes both whole and holed at the center. The material of the dish is homogeneous and its thickness is constant. The results comprise expressions for the radial, hoop, and shear stresses, the bonding moments, and deformation induced by the spinning of the dish in terms of the angular distance from the center of the dish. Tables at the end of the paper make the actual evaluation of these stresses, moments, and deformations a matter of simple arithmetic.