This paper is concerned with the application of complex variable analysis to establish exact expressions for the small deflections occurring in a thin isotropic circular plate subject to hydrostatic transverse pressure distributed over a segment of the plate. The general boundary conditions taken at the edge of the plate include those for the simply supported and rigidly clamped boundaries as particular cases. In the latter case the solution is obtained in a closed form. Explicit formulas are given for the boundary values of the bending and twisting moments and shearing forces. Expressions are also developed for the corresponding values on the axis of symmetry. When the hydrostatic pressure extends over a half of the plate or over the entire plate, the problem is investigated in detail and numerical results are presented in the form of tables and graphs. The results obtained are of practical significance in connection with the design of cylindrical tanks and boilers.

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