Abstract
In this paper the solutions for the bending of cantilever rectangular plates with concentrated load acting at any point of the middle line perpendicular to the clamped edge are given by means of a conception named modified simply supported edges and the method of superposition. Some numerical examples are presented. The total bending moment checks very well with the value determined statically.
Similar content being viewed by others
References
Chang Fo-van, Bending of cantilever rectangular plates, Journal of Tsing Hua University, Vol. 19. 1 (1979). (in Chinese)
Chang Fo-van, Bending of uniformly loaded cantilever rectangular plates, Applied Mathematics and Mechanics, Vol. 1, 3, 349–362, (1980).
Chang Fo-van, Benging of discontinuously loaded cantilever rectangular plates, Applied Mathematics and Mechanics 2, 4, (1981).
Chang Fo-van, Asymmetric bending of rectangular cantilever plates, Acta Mechanica Solida Sinica, 2, (1980), 170–182. (in Chinese)
Chang Fo-van, Elastic thin plates, Science Publishing House, (1963). (in Chinese)
Timoshenko, S. and S. Woinowsky-Krieger, Theory of Plates and Shells,sec. edition, (1959).
Author information
Authors and Affiliations
Additional information
Communicated by Xu Ci-da.
Rights and permissions
About this article
Cite this article
Peng-cheng, L. Bending of cantilever rectangular plate with concentrated load. Appl Math Mech 3, 281–291 (1982). https://doi.org/10.1007/BF01877662
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01877662