Structural behaviour of tapered rods subjected to axial compressive loads in the post-buckling range

Abstract

The equation governing the behaviour of rods of variable cross-section subjected to compressive load" is deduced using the classical assumption-that the plane sectioIis of the rod before bending remain plane even after bending; the stress-strain relationship can be either the conventional Ramberg-Osgood Law or the alternative form developed by Rao and Krishna Murthy; the deformations are considered to be large, 'The governing equation is nonlinear and an iterative' method is used to obtain numerical results. A dass of rods whose variation of the cross-section ,can be represented by I=I₀(1-βS)ⁿ(where s is the curvilinear coordinate) are considered to study,the post-buckling behnviour. Numerical results have been obtained for various values of the geometric parameters involved in the problem, and the results are in good agreement with those available in the literature.