Abstract
This chapter discusses the membrane theory for shells of general shape. Before considering the membrane stress analysis of such a shell, it is necessary to derive some elementary formulae defining the geometry of the middle surface. A surface may be generated from a series of straight lines parallel to the axes. Because of the ease with which such a surface may be formed, such shell forms are becoming increasingly popular as roofing structures, both in timber and reinforced concrete. A popular form of hyperbolic shell originated by Candela and known as the umbrella type, this formed by four hyperbolic paraboloids. Apart from developing a program for the membrane stresses in a parabolic conoid, this concludes the introduction to the membrane stresses in shells of general shape. The analysis of such shells for bending and membrane stresses is beyond the scope.
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