Buckling of inelastic arches: A simple model

Summary In analogy with the well-known Shanley's column model, a model has been devised to illustrate the buckling behaviour of three-hinged arches in the inelastic range. A bilinear stress-strain relationship has been assumed in the deformable elements. As in the case of the compressed strut, a wholesegment of bifurcation is found, and load values analogous to thetangent modulus (Shanley) andreduced modulus (Kàrmàn) loads can be defined. An example of load-displacement curves is fully developed.

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Sommario Si studia un modello teorico di arco inelastico a tre cerniere, analogo al ben noto modello di asta compressa proposto da Shanley, assumendo una relazione bilineare tra sforzi e deformazioni negli elementi del concio deformabile. Si ritrova anche in questo caso l'esistenza di unsegmento di biforcazione, si definiscono gli analoghi delcarico di Shanley e delcarico di Von Kàrmàn, e si traccia un esempio di curve carico-spostamento.

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The results presented in this paper were obtained in the course of researches sponsored by the Plasticity Group of the National Research Council of Italy (C.N.R.). An Italian version of this paper has been published in litographed form in July, 1967 by the Istituto di Scienza delle Costruzioni of Naples University.

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(presently, on leave at the Division of Engineering, Brown University, Providence, R. I.).