Abstract
Abstract
In Part 1 shallow-shell equations expressed in elliptic co-ordinates have been solved in terms of Mathieu functions. Boundary conditions for the rigid insert and for the unreinforced hole are discussed in some detail. Results for an unreinforced opening are compared with experiment and satisfactory agreement is obtained.
In Part 2 a parametric study has been made of the factors affecting the stresses at rigid inclusions and at unreinforced holes of elliptical shape in spherical shells. This work makes possible a simple method of representing the results in terms of the stress-concentration factors in flat plates, and a single geometrical variable. The results are verified by experiment.
On the basis of this study predictions of the stresses at the intersection of non-radial nozzles in pressure vessels have been made. The theoretical results are compared with experimental evidence already available and reasonable agreement is found.
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