Stresses and Deflections in Flat Circular Plates With Central Holes

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Abstract
Simplified formulas are derived for calculating maximum stress and maximum deflection of flat circular plates having central holes. Eight different loading and edge conditions are considered. These formulas are presented in a usable form for the practical designer. Approximate solutions are given for purposes of checking the formulas. Using the principle of superposition, a simple method of superimposing fundamental cases is developed for calculating cases other than those considered in the paper. Experimental determinations of stress and deflection for certain cases indicate that the formulas are sufficiently accurate for practical work where the edge conditions are determinate. For indeterminate edge conditions, as for example so-called built-in edges, the tests indicate that, while there is good agreement in the case of stress, the measured deflection is considerably greater than the theoretical.

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