The load-carrying capacity of annular plate made of a fiber-reinforced three layer composite and loaded with uniformly distributed transverse forces is investigated in the paper. The plate is clamped on external and free supported on internal contours. There used the plastic yield condition which is found by using the limit forces of all components of composite and the characterized geometrical parameters. The outside thin layers (covers) are isotropic and homogeneous. The materials of central layer (matrix), fibers and covers are perfectly plastic with different yield limits in tension and compression. The matrix is reinforced with four layers of fibers on both sides of the middle surface, each layer of which consists of one family and follows the lines of principal stress directions. The statically allowable fields of bending moments and the corresponding allowable fields of the rate of deflections are determined.