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Formulation of the Equilibrium Equations of Transversely Loaded Elements taking Shear Deformation into Consideration

Author(s): Onyeyili I. O. | Okonkwo V. O.

Journal: International Journal of Engineering Science and Technology
ISSN 0975-5462

Volume: 4;
Issue: 4;
Start page: 1812;
Date: 2012;
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Keywords: Stiffness | shear deformation | degrees of freedom | prismatic members | modulus of elasticity in shear

In this work a mathematical model for the consideration of deformation due to shearing forces in structural analysis was formulated. The stiffness matrix for a prismatic element taking shear deformation into account was developed. The force/load vectors for various cases of transversely loaded elements taking shear deformationinto consideration were also formulated and these were presented in tables synonymous to the tables of ‘end forces due to unit end displacements’ and ‘fixed end moments on transversely loaded elements’ found in many structural analysis textbooks. These tables will enable an easy implementation of the effects of deformation dueto shear forces in structural analysis when using the stiffness method.
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