Calculation for cylindrical shell under local vertical loadings

In this paper, we use the method of mixed-type series to derive the analytical solutions of cylindrical shell, which is simply supported along the transverse edges and subjected to the local vertical loads, and give the analytical expressions of the solutions for this kind of shell under five types of local vertical loading. A numerical example for a cylindrical shell roof, which is simply supported along the transverse edges and is free along the longitudinal edges, is given in this paper and from the calculated results it may be seen that the convergence of the solutions is considerably satisfactory. Using the solutions of this paper, we can deal with some practical problems of underground structure.Project Supported by the National Natural Science Foundation of China and by Scientific and Technical Fund of Ministry of Urban and Rural Construction and Environmental Protection.We are grateful to Mr. Lu Ping who has completed partial numerical calculations.