Bending of Thick Rectangular Plates with Different Boundaries under Concentrated Load

Author:

Chen Ying Jie1,Li Gang1,Zhang Zhen Xian1,Fu Bao Lian1

Affiliation:

1. Yanshan University

Abstract

Reciprocal theorem method (RTM) is generalized to solve the problem of bending of thick rectangular plate under concentrated load with four edges fixed and with two opposite edges fixed, the third edge simply supported, and the fourth edge free based on Reissner’s theory. The analytical solutions of the thick plate are given, and the relevant date and diagram are given to guidance engineering application.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference6 articles.

1. Baolian Fu, reciprocal theorem method of bending thin plate, Beijing, science press, (2003).

2. Reissner.E. The effect of transverse shear deformation on the bending of e1astic p1ates [J]. Journa1 of App1ied Mechanics, 12, June (1945).

3. Reissner.E. On the theory of bending of elastic plates [J]. Journal of Mechanics & Physics, 1944, 23 (184).

4. Baolian Fu, Wenfeng Tan, reciprocal theorem method of bending thick plate[J], Applied mathematics and mechanics, 1995, 4:367~379.

5. Baoian Fu, Yingjie Chen, applying reciprocal theorem to solve bending problem of elastic middle and thick plate. Academic journal of northeast institute of heavy machinery, 1995, 19(3): 191~ 195.

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