Abstract
In this paper the solution for the bending of corner-supported rectangular plate under concentrated load at any point (α/2, ν) of the middle line of the plate is given by means of a conception called modified simply supported edges and the method of superposition. Some numerical example is presented. The solution obtained by this method checks very nicely with what was obtained by G.T. Shih[3] by means of spline finite element method when ν=d/2. This shows that this method of solution is satisfactory.
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References
Chang Fo-van, Bending of rectangular plates with the corners supported, Journal of Tsinghua University, vol. 9, 5 (1962). (in Chinese)
Chang Fo-van, Bending of discontinuously loaded cantilever rectangular plates, Applied Mathematics and Mechanics, Vol. 3, No. 4, (1981).
Shih Chung-tze, On spline finite element method, Math. Numer. Sinica, vol. 1, (1979), 50–72. (in Chinese)
Chang Fo-van, Elastic Thin Plates, Science Press, (1964). (in Chinese)
Timoshenko, S. and S. Woinowsky-Krieger, Theory of plates and Shells, second edition, (1959).
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Communicated by Chang Fo-van.
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Peng-cheng, L. Bending of corner-supported rectangular plate under concentrated load. Appl Math Mech 5, 1409–1417 (1984). https://doi.org/10.1007/BF01904963
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DOI: https://doi.org/10.1007/BF01904963