Abstract
The Sanders' equations for a circular cylindrical elastic shell of constant thickness are reduced to a single, simple, fourth order partial differential equation for the complex-valued function W+i√(A/D)F, where W is the midsurface normal deflection, F is a stress function, and A/D is an elastic constant. Auxiliary equations expressing the tangential midsurface displacements, stress resultants, stress couples, and Kirchhoff edge forces in terms of W, F, and surface load integrals are also derived. Approximations are introduced only in the stressstrain relations, but the resulting errors are shown to be negligible by Koiter's arguments. Work of previous writers is reviewed and compared with results of the present paper,
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