Abstract
An analytical method of stresses in prestressed concrete cylindrical tanks is proposed, in case that they are subjected to anti-symmetric loadings such as hydrodynamic pressures and inertia forces. Ordinary differetial equation of 4th order with respect to the radial displacement of cylindrical tanks is deduced from replacing one of the fundamental equilibrium equations on circular cylindrical shell by a global equilibrium equation of bending moment of the tank wall. It is shown that this ordinary differential equation is equivalent to the differential equation which governs deformation of a beam supported by vertical and rotational springs. The differential equation on the beam deduced above is easily analyzed by using general computer program for frame works. It is clarified that the stress in cylindrical tank walls subjected to anti-symmetric loadings can be approximately treated as that of axi-symmetric loadings by neglecting minor terms in the differential equation on the beam supported by springs.
