A mixed problem of plate bending for a regular octagon weakened with a required full-strength hole

The paper addresses a problem of bending of an isotropic elastic plate, bounded by a regular octagon weakened with a required full-strength hole including the origin of coordinates. Coordinate axes pass the middle points of opposite parallel sides of octagon. Rigid bars are attached to each component of the broken line of the outer boundary of the plate. This plate bends under the action of concentrated moments applied to the middle points of the bars. Unknown part of the boundary is free from external forces. Using the methods of complex analysis, the plate deflection and required full-strength contours are determined. Numerical analysis is performed, and the corresponding graphs are constructed.