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This paper deals with the geometrical non-linear analysis of cantilever column with the constant volume. Numerical methods are developed for solving buckling loads and post-buckling behavior of such columns, subjected to an axial compressive load. The linear, parabolic and sinusoidal tapers with the...

This paper deals with the geometrical non-linear analysis of cantilever column with the constant volume. Numerical methods are developed for solving buckling loads and post-buckling behavior of such columns, subjected to an axial compressive load. The linear, parabolic and sinusoidal tapers with the regular polygon cross-section are considered, whose material volume and column length are always held constant. The differential equations governing the elastica of buckled column are derived, in which the shear deformation is included. The Runge-Kutta method is used to integrate the differential equations, and the Reg-ula-Falsi method is used to determine the horizontal deflection at free end and the buckling load, respectively. The numerical methods developed herein for computing both elasticas and buckling loads of such columns are found to be efficient and robust. Laboratory scaled experiments are done.

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