Original scientific paper

https://doi.org/10.21278/TOF.40206

Finite Element Stress Analysis of Elastic Beams under Non-Uniform Torsion

Damjan Banić orcid.org/0000-0001-9452-8575 ; Faculty of Engineering, University of Rijeka, Rijeka, Croatia
Goran Turkalj ; Faculty of Engineering, University of Rijeka, Rijeka, Croatia
Josip Brnić ; Faculty of Engineering, University of Rijeka, Rijeka, Croatia

Abstract

This paper presents a two-dimensional finite element formulation for the stress analysis of elastic beams subjected to non-uniform torsion. The element stiffness matrix and load vectors are derived using the primary and secondary warping functions. The primary function corre¬sponds to that occurring with uniform torsion problems. The secondary function is introduced to take into account effects caused by the restrained warping. Thus, shear stresses are divided into the primary and secondary ones, keeping the same meaning as the warping functions. The proposed finite element model enables the stress analysis to be carried out regardless of cross-sectional shapes. The material is assumed to obey Hooke’s law. The effectiveness of the presented finite element algorithm is validated through two benchmark examples.

Keywords

non-uniform torsion; warping function; shear stress; finite elements

Hrčak ID:

161993

URI

https://hrcak.srce.hr/161993

Publication date:

18.7.2016.

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