Stability of rod elements of building structures
The article describes the design of a frame building which is represented by the spatial rod system. A mathematical model of a straight vertical rod is based on the hypothesis of Bernoulli. The influence of longitudinal forces on the bending deformation is determined by kinematic relations based on the finite deformation tensor of Cauchy-Green. Equations of the state of a single rod under the action of longitudinal forces are composed. The problem is solved in the static and dynamic versions. As a result of solving the problem, own numbers, critical values of the longitudinal load, are defined. A solution similar to the solution in the form of Euler is obtained. The advantage of the presented solution is a description of the process of deformation after buckling.