We consider the three-dimensional stress-strain state of the final laminated cylinder. Three-dimensional homogeneous solutions are constructed for layers of the cylinder with unloaded ends. Solution of boundary value problems is reduced to minimize the generalized quadratic form. The numerical convergence criterion method was established.Stress states of the cylinder under the influence of local efforts, distributed according to different laws: linear, quadratic, trapezoidal are studied. New regularities of distribution of the stress-strained state in structure elements are discussed.