Stiffness Matrix of Timoshenko Beam Element with Arbitrary Variable Section

DOI

10.2991/mmebc-16.2016.405How to use a DOI?

Keywords

variable section; spatial beam element; stiffness matrix; equivalent nodal force; finite element

Abstract

Timoshenko beam with variable section is widely used for the sake of good mechanical behavior and economic benefit. In order to improve analytical accuracy, stiffness matrix of Timoshenko beam element with arbitrary section was founded. According to the relationship between geometrical deformation and element internal force, by integral of sectional curvature, shearing strain and axial strain, stiffness matrix of the Timoshenko beam element was derived. Then, analytical program was developed, which was proved exact in comparison with theoretical solution.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Leiping Xu
AU  - Pengfei Hou
AU  - Bing Han
PY  - 2016/06
DA  - 2016/06
TI  - Stiffness Matrix of Timoshenko Beam Element with Arbitrary Variable Section
BT  - Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer
PB  - Atlantis Press
SP  - 2017
EP  - 2020
SN  - 2352-5401
UR  - https://doi.org/10.2991/mmebc-16.2016.405
DO  - 10.2991/mmebc-16.2016.405
ID  - Xu2016/06
ER  -