The transverse flexure of perforated isotropic plates

Author:

Abstract

A general theoretical solution is obtained for the problem of a large thin isotropic plate bent or twisted by couples at infinity, and containing a hole of fairly general shape. Certain known results for circular and elliptical boundaries are included in this general solution as special cases. Numerical values of the stress couple round the edge of a square hole with rounded comers are given when the plate is bent by all-round couples, or twisted or bent cylindrically about the diagonals or sides of the square. Results are also given for a triangular hole with rounded corners in a plate subject to the action of similar distributions of stress -couple at infinity.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Reference7 articles.

1. B ickley W . G. 1924 Phil.

2. V.The influence of circular and elliptical holes on the transverse flexure of elastic plates

3. Proc. Roy;Green A. E.;Soc. A,1942

4. Proc. Roy;Green A. E.;Soc. A,1943

5. Love A. E. H . 1927 The mathematical theory of elasticity 4th ed. Camb. U niv. Press.

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1. Bending of glass fibre reinforced plastic (GFRP) plates on elastic supports;Matériaux et Constructions;1978-05

2. Bending of a singularily loaded thin circular annulus with free boundaries;Journal of the Mechanics and Physics of Solids;1960-05

3. The Bending and Twisting of a Flat Elastic Plate with a Reinforced Circular Hole;Aeronautical Quarterly;1960-05

4. Transverse bending of infinite and semi-infinite thin elastic plates. III;Mathematical Proceedings of the Cambridge Philosophical Society;1958-04

5. Green's functions for thin isotropic plates containing holes;Mathematical Proceedings of the Cambridge Philosophical Society;1957-07

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