A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand .

Thesis (M.Eng.) - Asian Institute of Technology, 1974

The bending analysis of elliptic paraboloid shells continuously supported along the edges by rather stiff edge members and subjected to uniformly distributed vertical load is presented. The governing equations based on the assumptions for thin shallow shells are expressed in terms of displacement components. The adopted boundary conditions are realistic for such type of structures as constructed. The solutions are obtained by two methods and the results compared with those obtained from membrane theory. The first solution is obtained by the Kantorovich Method and subsequently improved by the Galerkin procedure. Another approach consists of expressing the displacement functions as double series in characteristic functions and determining the undetermined coefficients by the orthogonality property of the assumed functions. Parametric studies are carried out and the results are presented to facilitate the design of such structures.