Exploitation of constructions in extreme conditions leads to necessity of calculation of its elements subject to various mechanisms of destruction. The longitudinal bend of a column with failing attachments is investigated. Material of the attachment is heterogeneous, according the deformability. The state of material during the deformation and the subsequent destruction is described by the full diagramme of loading. The material of the column is absolutely elastic, so it supposes all kinds of deformation without failing. Dependences of angles of rotation of end-sections on the longitudinal force for elastic and collapsing kinds of fixation are found for different meanings of rotary rigidity and factor of heterogeneity of the material according the deformability. Parametrical equatations of a bent axis of the column for an arbitary meaning of the longitudinal force are found, allowing to find coordinates of axial points not only during the process of elastic deformation of the attachment, but also during its destruction.