AN APPROACH TO THE NON-LINEAR BEHAVIOUR OF THE MEMBERS OF A RIGID JOINTED PLANE FRAMEWORK WITH FINITE DEFLECTIONS

Abstract

This paper presents an approach to the behaviour of the members of a rigid jointed plane framework which enables its behaviour to be predicted when elastic stability effects are appreciable and the effects of finite deflections and rotations (including exural shortening of members) also need to be considered. It is assumed that the members are straight and of uniform section, their material obeys Hpoke‘s Law and that the framework does not deflect out of its plane. The approach is suitable for use in conjunction with iterative methods previously developed for the prediction of the non-linear behaviour of plane frameworks when only elastic stability effects need to be considered (cf. 1).