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A finite element method for the Saint-Venant torsion and bending problems for prismatic beams

Jog, CS and Mokashi, Imrankhan Sherkhan (2014) A finite element method for the Saint-Venant torsion and bending problems for prismatic beams. In: COMPUTERS & STRUCTURES, 135 . pp. 62-72.

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Official URL: http://dx.doi.org/10.1016/j.compstruc.2014.01.010

Abstract

In this work, we present a finite element formulation for the Saint-Venant torsion and bending problems for prismatic beams. The torsion problem formulation is based on the warping function, and can handle multiply-connected regions (including thin-walled structures), compound and anisotropic bars. Similarly, the bending formulation, which is based on linearized elasticity theory, can handle multiply-connected domains including thin-walled sections. The torsional rigidity and shear centers can be found as special cases of these formulations. Numerical results are presented to show the good coarse-mesh accuracy of both the formulations for both the displacement and stress fields. The stiffness matrices and load vectors (which are similar to those for a variable body force in a conventional structural mechanics problem) in both formulations involve only domain integrals, which makes them simple to implement and computationally efficient. (C) 2014 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the PERGAMON-ELSEVIER SCIENCE LTD, ENGLAND
Keywords: Saint-Venant torsion; Compound bars; Anisotropic bars; Bending by terminal loads; Multiply connected sections
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Depositing User: Id for Latest eprints
Date Deposited: 11 May 2014 06:47
Last Modified: 11 May 2014 06:47
URI: http://eprints.iisc.ac.in/id/eprint/48937

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