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Elastica and buckling loads of nonlinear elastic tapered cantilever columns

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This paper deals with the elastica and buckling loads of the nonlinear elastic tapered cantilever columns subjected to an axial load at the free end. The column cross section is rectangular, where the width and depth vary linearly with the column axis. | Elastica and buckling loads of nonlinear elastic tapered cantilever columns Engineering Solid Mechanics 2018 39-50 Contents lists available at GrowingScience Engineering Solid Mechanics homepage www.GrowingScience.com esm Elastica and buckling loads of nonlinear elastic tapered cantilever columns Joon Kyu Leea and Byoung Koo Leeb a Department of Civil Engineering University of Seoul Seoul Korea b Department of Civil and Environmental Engineering Iksan Jeollabuk-do Korea A R T I C L EI N F O ABSTRACT Article history This paper deals with the elastica and buckling loads of the nonlinear elastic tapered cantilever Received 26 June 2017 columns subjected to an axial load at the free end. The column cross section is rectangular Accepted 1 November 2017 where the width and depth vary linearly with the column axis. The column material is nonlinear Available online elastic which obeys the Ludwick s constitutive law. The ordinary differential equations 1 November 2017 Keywords governing the elastica of buckled column are derived and solved numerically for computing Elastica the elastica and buckling loads. Parametric studies for the annealed copper N.P. 8 aluminum Buckling load alloy and steel columns are conducted. Tapered column Ludwick type material 2018 by the authors licensee Growing Science Canada 1. Introduction Elastica problems dealt with the large deflection beam theory are one of the greatest interest themes in the field of structural engineering. Since the first study of the elastica was published by Euler 1774 in which large deformed shapes of a slender rod were studied such elastica problems have been still discussed to the present day. Much reference particularly on the cantilever beams columns and their citations include the mathematical models and the significant historical literature on this subject. Concerning the large deformation beam theory typical works related to this study should be classified into two column materials the linear and nonlinear .