钢筋混凝土复杂边界支承矩形板的受力分析

The stress analysis of reinforced concrete rectangular plate with complex boundary supported

依据弹性薄板理论,将复杂边界支承板分割成两块简单边界板,在公共边界处引入广义支承边概念,利用公共边界处的相容条件联立求解,给出了复杂边界支承矩形板的解析解,为此类板的受力分析和工程设计提供了参考。

Based on the elastic thin flexure theory, firstly the rectangular plate with complex boundary is divided into two simple rectangular plates which solution is easy to be obtained, then introducing the concept of generalized supporting edge in the common boundary, the unknown coefficients of the plate bending functions are determined by the boundary condition and the geometric compatibility conditions, finally the analytic solution of the original plate is obtained. It provides reference for the inner force analysis and engineering design of rectangular plate with various edge conditions.