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..
BULLETIN 102-1965 history
1965BULLETIN 102-1965 STATE OF STRESS IN A CIRCULAR CYLINDRICAL SHELL WITH A CIRCULAR HOLE