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The Quarterly Journal of Mechanics and Applied Mathematics 1949 2(2):177-181; doi:10.1093/qjmam/2.2.177
© 1949 by Oxford University Press
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BENDING OF AN ELLIPTIC PLATE WITH A CONFOCAL HOLE

B. R. SETH

( Hindu College Delhi )

An approximate solution for the bending of a thin elliptic plate with a confocal hole subjected to uniform pressure and clamped at the edges is discussed. The numerical results obtained are compared with those for a complete plate. It is found that the maximum deflexion win occurs near the inner boundary. For the plate bounded by ellipses whose semi-axes are (1·6c, 1·249c) and (1·14c, 0·548c) it is found that win is almost one-fifth the value for the plate complete up to the outer boundary. By making the minor axis of the hole vanishingly small the interesting case of an elliptic plate with a clamped crack can be treated.


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