Deflection of Shallow Spherical Shells
Many papers and books, such as Roark's Formulas for Stress and Strain cite Reissner, E.: "Stresses and Small Displacements of Shallow Spherical Shells", Journal of Mathematics and Physics, vol. 25, No. 4, 1947. Part 1, pp. 80-85, Part 2 pp pp 279-300. This paper is not online, and the 66 y.o. journal is not on most shelves. Dr. Reissner's article is somewhat difficult to understand, but I will attempt to do so here. Corrections welcomed!
Reissner considers three cases:
- (1) Point load at center, edges fixed in angle position and angle
- (2) Point load at center, edges constrained vertically but free to turn and splay outwards
- (3) Distributed uniform load in disk area around center, edges constrained vertically but free to turn and splay outwards
The last case is of interest here.