The article is devoted to the problem of calculating the stability of compressed rods taking into account their own weight. The fourth order resolving differential equation with respect to dimensionless deflection was obtained. A technique for the numerical solution of the resulting equation is proposed using finite differences method. As a result, the problem was reduced to a generalized eigenvalue problem. Comparison with the solution of other authors is given.

The article discusses a method for calculating three-layer plates, in which a lightweight viscoelastic material acts as a middle layer. The technical theory of three-layer structures is used. The derivation of the resolving equation, the numerical and analytical solution of the problem, as well as comparison with the solution in the LIRA software package are presented.

The article proposes resolving equations for eccentrically compressed reinforced concrete short columns obtained on the viscoelastic model basis. Comparison of the results obtained according to the theory of heredity, theory of hardening, aging, flow, kinetic theory, as well as the nonlinear theory of concrete creep by Yu.A. Gurieva is presented.

An effective version of the energy method is recommended when calculating the rectangular cantilever strips for stability of a flat bending shape taking into account its own weight. The essence of this method’s variant is to use the Lagrange variational principle instead of the condition for the potential strain energy equality and the external forces work. The proposed approach makes it possible to perform the calculations’ machine implementation and take into account an arbitrary number of the series members. The solution to the problem for the cantilever beam is presented taking into account its own weight and the concentrated force action.

The article is devoted to the calculation of three-layer shells of rotation with a light filler under the creep conditions. Unlike previous works of the authors, the hypotheses of the theory of shallow shells are not used. General geometric and physical equations are presented, as well as a system of resolving equations for axisymmetrically loaded structures. An example of calculating a spherical dome is given. The features of changes in the stress-strain state of the considered structure during creep are revealed.