Buckling of Beams of Varying Cross Section under Axial Compression and Biaxial Bending

R. Levy, Erez Gal

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


This paper is concerned with three-dimensional rectangular beam-columns whose cross sectional dimensions may, symmetrically, vary linearly along their length. The basic four coupled differential equations governing the behavior of three-dimensional beam columns are reformulated to include varying cross sections. A 6x6 stiffness matrix (which is sufficient to describe 3-D behavior) is computed by solving the equations 6 times for a sequence of appropriate discontinuities using the finite difference method. The buckling load of a cantilevered beam undergoing a variety of bi-directional moments for a cross-section of given proportionality and for various end moments of inertia is computed. Interaction diagrams are then plotted to highlight the effect of end moments on the buckling load.
Original languageAmerican English
Title of host publicationDevelopments in Computational Mechanics with High Performance Computing
Number of pages5
StatePublished - 23 Jun 2021


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