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On the applicability of the Southwell plot to plastic buckling
Authors:Josef Singer
Affiliation:(1) Sherman Fairchild Distinguished Scholar, California Institute of Technology, 1987-88, USA;(2) Present address: Department of Aeronautical Engineering, Technion, Israel Institute of Technology, 32000 Haifa, Israel
Abstract:A completely forgotten paper by C.T. Wang on the extension of the Southwell plot to inelastic buckling of columns is revived, rederived and amplified. A theoretical justification is presented for the application of the Southwell method to plastic buckling of columns made of a strain-hardening material, showing that it predicts the double (or reduced) modulus buckling load. Typical experimental verifications are recapitulated. This puts practical applications of the Southwell method in the plastic region on firmer ground.
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