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: (I) A uniform bending moment is applied to the edge of the hole. (II) The shell is subjected to a uniform axial tension. (III) The shell is subjected to internal presswe balanced by a uniformly distributed shear along the hole. (IV) 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 a small hole.
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| Number of Pages : | 27 |
| Published : | 1965 |
