Abstract
Recent results of a variational analysis of finite deformations of prismatical beams are specialized so as to apply to the problems of buckling of cantilever beams with singly symmetric cross sections, acted upon by an axial end force, and end bending moment, and a transverse end force. Given the classical formulae of Euler and Michell-Prandtl, the paper is concerned, in particular, with modifications of these formulae due to the influence of transverse shear-deformability, pre-buckling deformation, warping stiffness, and non-coincidence of centroid and shear center. Comparisons are also made of the present results with previously known results based on the application of the classical one-dimensional Kirchhoff equations, and on the application of certain one-dimensional generalizations of Kirchhoff's equations.
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