Flat rectangular isotropic plates under uniformly distributed normal pressure. Elastic deflections, stresses and strains, moments and forces, for various forms of edge restraint.
Abstract:ESDU 94033 introduces a Fortran program which gives (i) the detailed distribution of deflection and either the moments and in-plane forces, or the stresses, or the strains, throughout the plate for a given pressure load or (ii) the maximum deflection and the peak values of moments, forces, stresses and strains and their location for a range of pressure loads. The differential equations formed in terms of stress and displacement functions apply to elastic, large deflection, moderate rotation, thin plate theory and are solved by a finite difference technique for edge conditions of elastic rotation, translation or shear restraint. The plate is rigidly restrained in its own plane. It is treated as symmetrical so behaviour in one quarter only is considered with a grid chosen by the user of 4x4, 6x6 or 8x8 points. Output of the distributions can be chosen to be at every point or at alternate points. The program input and output are fully described, error messages that may be output are explained, and a worked example illustrates its use. The program is available as ESDUpac A9433.
|Data Item ESDU 94033|
This program is only available to subscribers.
The graphs listed below are available only to subscribers.
|Figure 1||Stress distribution across a flat square isotropic plate under uniform pressure|
|Figure 2||Plate centre deflections for flat isotropic plate over a range of pressure loading. Effect of different edge conditions|
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