抄録
An analytical solution of the bottom annular plate is presented in order to analyze the stresses in the vicinity of shell-to-bottom joint of a cylindrical steel tank with a symmetrical or an asymmetrical load on it. The analytical solution of the bottom annular plate is obtained from the solution of a circular plate on an elastic foundation, using asymptotic expressions of Kelvin functions for larger values of the arguments and the distance from outer edge of the plate x instead of the radius r, assuming x/r_0<<1, where r_0 is the outer radius of the plate, since the vicinity of shell-to-bottom joint is considered. Futher simplification is led by elinimating the terms which have the outer radii in their denominators and it is concluded the simplified solution is identical to the analytical solution of the beam on the elastic foundation in the case of a symmetrical load. The accuracies of the presented solutions are studied numerically and a calculation method of the bending stress in the annular plate at shell-to-bottom joint due to hydrostatic pressure is proposed.
