The reinforced concrete rectangular plate with complex boundary supported

摘要

In engineering, the deformation and internal force of rectangular plate with complex boundary and free corner supported is comparatively complicated, we often use the finite element method to get its numerical solution, and there is still no appropriate method for this question. In the article, based on the elastic thin plate flexure theory, the rectangular plate with complex boundary is firstly divided into several simple rectangular plates which solution is easy to be obtained. Introducing the concept of generalized supporting edge in the common boundary, the unknown coefficients of the plate bending functions are determined by satisfying the boundary conditions and the geometric compatibility conditions, and the analytic solution of the original plate is finally obtained. It provides reference for the inner force analysis and engineering design of rectangular plate with various edge conditions.