Journal of Emerging Trends in Engineering and Applied Sciences: Research Areas

Article Title: Formulation of the Equilibrium Equations of Transversely Loaded Elements Taking Beam-Column Effect into Consideration
by Okonkwo V. O and Onyeyili I. O

Abstract:
In this work a mathematical model for the consideration of beam-column effect in structural analysis was formulated. The stiffness matrix for a prismatic element taking beam-column effect into account was developed. The force/load vectors for various cases of transversely loaded elements taking beam-column effect into consideration were also formulated and these were presented in tables synonymous to the tables of 'end forces due to unit end displacements of prismatic elements' and 'fixed end moments on transversely loaded elements' found in many structural analysis textbooks. In the analysis of structures by the stiffness method there is need to obtain the fixed end moments of the transversely loaded elements and also the end stiffness (forces due to unit end displacement of the elements) of these elements. These are evaluated using formulas obtained from textbooks. Unfortunately in the derivation of such formulas beam-column effect was ignored. In this work similar tables that incorporate beam-column effects were developed enabling an easy implementation of the effects of axial forces on the end stiffnesses of elements in structural analysis

Keywords: stiffness, beam-column effect, degrees of freedom, prismatic members, modulus of elasticity

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