Abstract
In this paper we apply the reciprocal theorem[1] to further research on the bending problem of the cantilever rectangular plate under a concentrated load acting at any of its points. This method is even simpler and more general.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Fu Bao-lian, Applications of the reciprocal theorem to solving the equations of the deflection surface of the rectangular plates with various edge conditions,Applied Mathematics and Mechanics 3, 3 (1982), 353–364.
Chang Fo-van, Bending of rectangular cantilever plate,Journal of Qinghua University,19, 2 (1979). (in Chinese).
Chang Fo-van, Unsymmtrical bending of rectangular cantilever plate,Acta Mechanica Solida Sinica,2 (1980), (in Chinese)
Chang Fo-van, Bending of rectangular cantilever plate with discontinuous loading,Applied Mathematics and Mechanics,2, 4 (1981). 403-410.
Lin Peng-cheng, Bending of cantilever rectangular plate with concentrated load,Applied Mathematics and Mechanics,3, 2 (1982). 281–292.
Chien Wei-zang and Yeh Kai-yuan,Elastic Mechanics, Science Press (1956). (in Chinese)
Chang Fo-van,Elastic Thin Plates, Science Press (1963). (in Chinese).
Author information
Authors and Affiliations
Additional information
Communicated by Chien Wei-zang
Rights and permissions
About this article
Cite this article
Yan-bin, Z., Bao-lian, F. Further research on the bending of the cantilever rectangular plates under a concentrated load. Appl Math Mech 7, 975–986 (1986). https://doi.org/10.1007/BF01907600
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01907600