Abstract
The work aims to study the stress-strain state of a pivotally-supported rod with variable cross-sectional stiffness under the action of central compression with bending. The problem is solved by the numerical finite difference method using a regular linear grid with a density equal to four. As a result of the study, graphical dependences of deflections on the change in the magnitude of the compressive load, correlated to the magnitude of the buckling load (Euler force) of the corresponding centrally compressed rod are obtained. The influence of the constant and variable thickness of the rod on deformation is investigated. The results obtained can be used both in scientific research in the field of building and in the design of various rod systems