The energy method in the calculations of beams of rectangular cross-section with lateral buckling

Abstract

The energy method in the calculations of beams of rectangular cross-section with lateral buckling

Ishchenko A.V., Zotov I.M.

Incoming article date: 30.01.2019

The problem of lateral buckling of a free-supported wooden strip with a constant narrow cross-section loaded with concentrated force in the middle of the span is considered. In the study of lateral buckling of the beam was used energy method. For the case of load application in the center of gravity, the problem is reduced to a generalized secular equation. The dependence between the value of the critical force and the position of the point of application of the load is obtained. A linear approximating function is chosen for this dependence. The results obtained by the authors are compared with the analytical solution using Bessel functions and the numerical iterative method.

Keywords: thermal conductivity, finite element method, the steady-state temperature field, radiation-heat shield, thick-walled cylinders