ELASTIC STRESSES IN RING FRAMES OF IMPERFECTLY CIRCULAR CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE LOADING
Abstract
A solution is obtained for elastic stresses in the ring frames of an imperfectly circular cylindrical shell of finite length subjected to external pressure. The method of analysis follows closely that used by Kendrick (Naval Construction Research Estab. Reports R.211, R.243, R.244 (1953)) in which an initial out-of-roundness shape is assumed and the principle of minimum potential energy is used to derive expressions for critical stress. However, an initial out-of-roundness in which the radial deviation is a cosine function is used in this analysis, whereas Kendrick assumed that the out-of-roundness was similar in form to the general-instability mode. The function used for the radial deviation in this report implies that there is no sagging of the cylinder generators between bulkheads, a condition more representative of actuality. This solution leads to flange stresses which are higher than those obtained from the theory of Kendrick. An approximate solution is also derived from which flange stresses can easily be computed once the elastic general-instability pressures and associated buckling modes of the perfect cylinder are known. This simplified result leads to maximum bending stresses in the frame flange which are 4/pi times greater than those found from a corresponding simple formula derived by Kendrick from his more complete solution. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1962
- Accession Number
- AD0277364
Entities
People
- Kenneth Hom