Non-linear elastic analysis of thin rods subjected to bending with arbitrary kinetic conditions of their cross-sections

In this paper problems concerning the non-linear analysis of thin rods due to pure bending with constant initial curvatures and twist and with arbitrary kinetic conditions of their cross-sections are presented. Couples are not considered as being applied to the rods except at their ends. The solutions developed in this paper, which determine the curvature components and the twist of the rod after deformation, are exact in the form of elliptic integrals.