In this paper we consider the bending of a plate on an elastic base. Plate in plan has a rectangular outline. The plate material is isotropic. The plate is supported by ribs of rigidity directed parallel to the sides of the plate. It is taken into account that ry-bra, rigidities parallel to different sides, have different rigidity for bending and torsion. The calculation scheme assumes an orthotropic plate having various cylindrical stiffnesses in two mutually perpendicular directions parallel to the reinforcing ribs. The elastic foundation is adopted by Winkler, ie. it is believed that the reaction of the base is directly proportional to the deflection of the plate at each point. The plate rests on an elastic base and is loaded with a distributed load according to the following law q=q_0*sin⁡〖2πx/a*cos⁡〖πy/2b〗 〗. The problem is solved by the inverse method. Function of deflections of the plate are: w=C*sin⁡〖2πx/a*cos⁡〖πy/2b〗 〗.The stress state is studied and the load-carrying capacity is calculated for various parameters of the plate and the base.

Keywords: ribs, plate, elastic base, inverse method, thin, orthonormal, bending, load-carrying capacity, strength

In the paper, a rectangular plate, reinforced by ribs in two mutually perpendicular directions. The plate rests on an elastic Foundation and loaded by a distributed load following the law q=q_0*sin⁡〖2πx/a*cos⁡〖πy/2b〗 〗. The problem is solved by the inverse method. Function of deflections of the plate are: w=C*sin⁡〖2πx/a*cos⁡〖πy/2b〗 〗.The settlement scheme was adopted of simply supported orthotropic plate on an elastic Winklevosses basis. Examines the stress state and calculation of carrying capacity for different parameters and base plates. The calculations showed that the capacity of the wavy plate is higher compared with the load capacity of the flat plate.

Keywords: diversification of management, production diversification, financial and economic purposes of a diversification, technological purposes of ensuring flexibility of production