Application of three nodded finite eleme

Eyo Ephraim, Maurice; Ode, ThankGod; Dumale Promise, Nukah

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.

• Journal Article Type: Article
• Acceptance Date: Mar 27, 2018
• Online Publication Date: May 3, 2018
• Publication Date: May 3, 2018
• Deposit Date: Apr 24, 2024
• Publicly Available Date: Apr 24, 2024
• Journal: American Journal of Civil Engineering
• Print ISSN: 2330-8729
• Publisher: Science Publishing Group
• Peer Reviewed: Peer Reviewed
• Pages: 68-77
• Series ISSN: 2330-8729
• DOI: https://doi.org/10.11648/j.ajce.20180602.13
• Public URL: https://uwe-repository.worktribe.com/output/11913082
• Publisher URL: http://www.sciencepublishinggroup.com/j/ajce