Аннотация: A general solution of the boundary-value problems of nonaxisymmetric bending is given for continuous, sufficiently smooth loading. The Fourier-expansion is used. The specific features of the solution are analyzed by considering special problems. New exact solutoins are obtained for an arbitrary ordinal number of the harmonic. Near the origin, the functions of bending (stress and specific forces and moments) which is characteristic of the models of cylindrically orthjtrjpic media.