四支柱支撑无梁矩形板的弯曲
Bending of Rectangular Flat Slabs Supported by Four Columns
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摘要: 本文对于四边和四个角点均自由、仅由四根中间支柱支撑的矩形板,在均布载荷作用下的弯曲问题,提供一个解析解.文中对于若干特殊情形,给出了支柱反力和在板的一些点处挠度及弯矩的数值结果.计算结果表明,本文的方法是有效的.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.
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[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).
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