Bending of a rectilinear regular polygonal plate with a circular hole by concentrated edge couples

Summary This paper presents a solution for the deflection, moments and shearing forces in a rectilinear regular polygonal plate, with even number of sides having a central circular hole, subjected to concentrated edge couples at two opposite points of the outer boundary. Complex variable technique has been employed to find the solution of the problem. The solution involves an infinite system of linear algebraic equations and a method of solving them is provided. The solution for a corresponding plane stress (strain) problem has been derived. Numerical results are presented in the form of tables and graphs.