A NEW METHOD FOR PLANE PROBLEM OF RECTANGULAR BOUNDARY WITH TWO OPPOSITE NORMAL SUPPORTED EDGES

The plane problem can be divided into the generalized statically determinate and indeterminate problem, the former can be directly solved while the latter must be solved by the superposition principle. For the determinate problem, the final solution is composed of the corner concentrated force solution，the body force solution and the computed boundary-value condition solution. All of the three satisfy different strain compatibility equations and are determined separately. The first two solutions are independent of the bi-harmonic equation and boundary conditions, and the reverse stress and displacement of the two solutions at the four edges are the virtual boundary conditions. The sum of virtual and actual boundary conditions is the computed boundary-value condition，whose solution is the classical bi-harmonic equation solution and contains the homogeneous solution and particular solutions. The equilibrating of isolated free-body is used to determine the corner concentrated force solution. In this paper the expressions of all solutions and the evaluation process are presented for the plane problem of rectangular boundary with two opposite normal supported edges, and some examples are provided.