This paper deals with the elastica of shear-deformable tapered columns. Non-dimensional differential equations governing the elastica of buckled columns and their boundary conditions, including the effect of shear deformation, are derived according to the Bernoulli-Euler beam theory. These equations are solved numerically to obtain both the elastica and the buckling load of the columns. The Runge-Kutta method is used to integrate the differential equations, and the Regula-Falsi method is used to obtain the unknown initial value of the elastica and the buckling load, respectively. Three types of cross-sectional shapes with both highed ends and both clamped ends are considered in the numerical examples. Likewise, the parametric studies of the effects of shear deformation on post-buckling behavior and buckling load, e.g., shear coefficient, the slenderness ratio, and the section ratio, are reported. The buckling load equations for uniform columns are obtained as functions of the implicit shear effect.
Elastica of shear-deformable tapered columns
KSCE J Civ Eng
KSCE Journal of Civil Engineering ; 6 , 2 ; 135-141
2002-06-01
7 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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