One side supports the precise solution of rectangular plate bending

rectangular plates;  flexural plates;  Precise solution

Due to the diversity of boundary conditions, the complexity of the internal force distribution in the plate is caused by the diversity of boundary conditions, and the existing solution has the shortcomings of inconsistent calculation methods, low calculation accuracy and small application range. The proposed precise solution divides the bending of the plate into two categories: generalized static determination and generalized superstatic determination, for the former, a unified general solution expression is proposed and a combined special solution is adopted, which can not only meet the plate bending balance emblem division equation, but also meet the deflection conditions of the supporting edge, the shear distribution conditions on the free edge, the concentration force conditions of the free angle point and the reaction force conditions at the column support, so that the four-sided boundary conditions and the displacement conditions at the column support can be used to solve directly. For generalized superstatically definite bending, the superposition method is used to solve it. The reverse analysis example shows that the solution has high computational accuracy.