Research Article
Jan 1968
Integral Equation Method for a Corner Plate
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VIEW THE REPLYAuthors: Cecil M. Segedin and Derek G. A. BrickellAuthor Affiliations
Publication: Journal of the Structural Division
Volume 94, Issue 1
Abstract
An integral equation method is developed for the analysis of thin elastic plates. The integral equations are based on a Green's formula and are adapted for the solution of the biharmonic problem of plate analysis. By means of this method, a numerical solution is obtained for a simply-supported, uniformly loaded corner plate. Deflections and bending moments along the diagonal and shear forces along the edges are found. Values of these quantities previously calculated by means of a finite difference technique for a right-angled plate are confirmed by this new method and the analysis is extended to corner plates with different angles at the corner. Furthermore, for a right-angled corner plate, detailed contour plots of bending and twisting moments inside the plate are presented. With a digital computer these results are obtained without undue difficulty, and it appears that the integral equation method is well suited to this type of problem.
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Published In
Journal of the Structural Division
Volume 94 • Issue 1 • January 1968
Pages: 41 - 52
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Jan 1968
Published online: Feb 1, 2021
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Cecil M. Segedin
Head of Dept. of Theoretical and Applied Mechanics, Sehl of Engrg., Univ. of Auckland, New Zealand
Derek G. A. Brickell
Engr., Ministry of Works, Wellington, New Zealand
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