Small bending of a circular bar superposed on finite extension or compression

Summary Solutions are presented for the small bending by terminal couples or by a transverse end load of a circular cylinder of incompressible isotropic material which has been initially finitely extended or compressed by axial loading. Numerical results are given for a Mooney material. The results are used to investigate the stability of a circular bar under end thrust. An elementary solution is giver for the small bending by its own weight of a stretched horizontal cylinder. The results presented in this paper were obtained in the course of research sopnsored at Brown University by the Office of Ordnance Research, U.S.Army, under Grant DA-ARO(D)-31-124-G-89