The energy method for calculating the cantilever strip bending flat form stability taking into account its own weight development

Abstract

Abstract 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.