Abstract
A large-deflection stress analysis is made for square plates under hydrostatic pressure with several flexural and membrane boundary conditions, and with special reference to conditions related to flat-plate components in liquid containers and partitions. The analysis is based on von Karman's nonlinear plate equations for elastic isotropic plates using graded-mesh finite-difference approximations together with an iterative procedure. The influence on plate behavior of membrane and flexural boundary conditions is discussed. It is concluded that in thin-plated containers membrane stresses of the same order of magnitude as bending stresses develop. Solutions are offered nondimensionally in a tabular form for a number of more frequent membrane and bending boundary conditions suitable for design purposes. The application of the solutions is illustrated through numerical examples.
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