The problem of the moment distribution resulting from a uniform pressure load acting over the surface of a circular plate containing a ring of equally spaced circular holes with, and without, a central circular hole is solved within the framework of the Poisson-Kirchhoff theory of plates. A general boundary condition is applied at the outer rim of the plate to make the solution valid for a range of conditions from the simply supported case to the clamped case. The edges of the perforations are allowed to be either free or to have a net shear force acting. Numerical results in the form of curves are given for typical cases, and the results of a photoelastic test are also presented.
Flexure of a Circular Plate With a Ring of Holes
Westinghouse Electric Corporation, Bettis Atomic Power Laboratory, Pittsburgh, Pa.
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Kraus, H. (September 1, 1962). "Flexure of a Circular Plate With a Ring of Holes." ASME. J. Appl. Mech. September 1962; 29(3): 489–496. https://doi.org/10.1115/1.3640594
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