Application of Three Nodded Finite Element Beam Model to Beam on Elastic Foundation
American Journal of Civil Engineering
Volume 6, Issue 2, March 2018, Pages: 68-77
Received: Mar. 12, 2018; Accepted: Mar. 27, 2018; Published: May 3, 2018
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Authors
Maurice Eyo Ephraim, Department of Civil Engineering, Rivers State University, Nkpolu, Port Harcourt, Nigeria
ThankGod Ode, Department of Civil Engineering, Rivers State University, Nkpolu, Port Harcourt, Nigeria
Nukah Dumale Promise, Department of Civil Engineering, Rivers State University, Nkpolu, Port Harcourt, Nigeria
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Abstract
The convergence of numerical solution based on two nodded beam finite element require considerable number of iterations and time; and is also plagued with shear locking. To address these deficiencies a three nodded beam element is proposed in this study to simulate the behavior of beams on elastic foundation. The analytical formulation of the model and development of shape functions are achieved with assumption of Winkler hypothesis for beam on elastic foundation A Matlab programme was developed to determine the combined beam and foundation stiffness as well as the load vector. The proposed model reliably simulates the deformations and stress resultants of beam on elastic foundation under general loading conditions. The result showed faster convergence devoid of shear locking. The maximum deflection and bending moment differ from the classical solution by about 5 percent.
Keywords
Elastic Foundation, Beam, Finite Element, Shear Locking, Winkler Model
To cite this article
Maurice Eyo Ephraim, ThankGod Ode, Nukah Dumale Promise, Application of Three Nodded Finite Element Beam Model to Beam on Elastic Foundation, American Journal of Civil Engineering. Vol. 6, No. 2, 2018, pp. 68-77. doi: 10.11648/j.ajce.20180602.13
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Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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