Abstract
The complex differential equation of cylindrical shells, given by Novozhilov [1], is used to obtain the state of stress for a simply supported closed thin circular cylindrical shell acted upon by a uniform inward radial line load along a generator. The problem is solved by obtaining a closed form particular integral of the differential equation, and satisfying the edge conditions with the aid of complementary solutions in the form of a single Fourier series which converges very rapidly for the region near the middle of the shell. For comparatively long shells an approximate expression, in closed form, is derived for the region far away from the edges. A mathematical proof of the convergence of the series is given, and numerical results for several ratios of length to radius are presented.
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