Bending of Rectangular Flat Slabs Supported by Four Columns

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Li Ding-kun. Bending of Rectangular Flat Slabs Supported by Four Columns[J]. Applied Mathematics and Mechanics, 1982, 3(4): 483-496.

Citation:

Li Ding-kun. Bending of Rectangular Flat Slabs Supported by Four Columns[J]. Applied Mathematics and Mechanics, 1982, 3(4): 483-496.

Citation:

Li Ding-kun. Bending of Rectangular Flat Slabs Supported by Four Columns[J]. Applied Mathematics and Mechanics, 1982, 3(4): 483-496.

Abstract

In this paper an analytical solution is proposed for the bending of uniformly loaded rectangular plates supported only by four intermediate columns, the edges and corners of which are all free. For several particular cases, the numerical results, which contain the column reaction and the values for the deflection and the bending moments at several points of the plate, are given.Calculations indicate that the method proposed in this paper is valid.

[1]	Timoshenko,S,and Woinowsky-Krieger,S.,《板壳理论》,(中译本),科学出版社(1977).
[2]	胡海昌,《弹性力学的变分原理及其应用》,科学出版社(1981).
[3]	张福范,《弹性薄板》,科学出版社(1964).
[4]	张福范,均布荷载下悬臂矩形板的弯曲,应用数学和力学,3,3(1980).