Abstract:
The main objective of the work is to generalize the clamped elastically bendable support conditions for compressed rod stability problem for the rod cross beams. As well as to show that these conditions are true in the case when a decrease of external force due to the friction of the edge of the rod inserted in an elastic solid is taken into account. An accounting method for the friction force is proposed applying which one can solve the stability problem of an isotropic rod of constant cross-section, when one end of the rod is elastically clamped and the other end is clamped completely rigidly. A numerical example is discussed. On the basis of the obtained dimensionless results are made conclusions regarding the dependence of the real critical force from the stiffness of the elastic clamped support.
Keywords:the stability of rod, the elastic clamped support of the problem for stability, the real critical force.
