STATE OF STRESS IN A CIRCULAR CYLINDRICAL SHELL WITH A CIRCULAR HOLE.

Abstract : Analytical solutions are presented for the determination of the state of stress in a circular cylindrical, thin elastic shell having a circular hole on its lateral surface. The problems treated include the following cases of applied loads: (1) A uniform bending moment is applied to the edge of the hole. (2) The shell is subjected to a uniform axial tension. (3) The shell is subjected to internal pressure balanced by a uniformly distributed shear along the hole. (4) The shell is subjected to a torque at its ends. By superposition of these results one may obtain the solution of various other technically important cases, e.g., pressurized cylinder intersected by a circular cylindrical membrane with closed ends. For each of the cases enumerated above, stresses and stress concentration factors are plotted against a natural parameter which involves dimensional ratios and poisson's ratio. Formulas are presented for the calculation of membrane stress concentrations in the case of small hole. (Author)