Abstract
Abstract In terms of displacement components and angular coordinates, expressions are given for large curvatures of elastic beams and rods. The application of these expressions to bifurcation and stability problems is discussed on the basis of the principle of virtual work. This approach is compared with the finite element representation given in a previous paper [1]. An error in this previous paper is corrected. Further it is shown that the condition of zero extension of the axis in the case of the Euler column requires a division into a rather large number of finite elements to ensure an accurate result for the stability coefficient. The conditions of zero extension of the axis and zero curvature about one principal axis of the cross-section in the case of the lateral buckling of the end-loaded cantilever have similar consequences.
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