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.
|Title of host publication||Developments in Computational Mechanics with High Performance Computing|
|Number of pages||5|
|State||Published - 23 Jun 2021|