A New Torsion Element of Thin-Walled Beams Including Shear Deformation


Article Preview

Restrained torsion analysis of open thin-walled beam is presented in this paper. A finite element model is developed. The element is based on the first-order torsion theory, which accounts for the warping deformation and shear deformation due to restrained torsion. The interpolation functions of total rotation and twist rate of free warping rotation of cross section are constructed respectively by using the relationship between these two rotations. Numerical example is illustrated to validate the current approach and the results of the current theory are compared with those obtained from classical Vlasov theory and first-order torsion theory.



Edited by:

Xuejun Zhou






Z. Q. Wang et al., "A New Torsion Element of Thin-Walled Beams Including Shear Deformation", Applied Mechanics and Materials, Vols. 94-96, pp. 1642-1645, 2011

Online since:

September 2011




[1] L. Librescu, O. Song: Thin-walled composite beams-theory and application (Springer, AA Dordrecht 2006).

[2] V.Z. Vlasov: Thin-walled Elastic Beams (National Science Foundation, Washington 1961).

[3] A. Gjelsvik: The theory of thin-walled bars (John Wiley & Sons Inc, New York 1981).

[4] M. Mohareb, F. Nowzartash: Journal of Structural Engineering Vol. 129 (2003), pp.215-223.

[5] S.Y. Back, K.M. Will: International Journal for Numerical Methods in Engineering Vol. 43 (1998), pp.1173-1191.

[6] S.W. Park, D. Fujii and Y. Fujitani: Computers & Structures Vol. 65 (1997) pp.17-27.

[7] R. Pavazza: International Journal of Mechanical Sciences Vol 47 (2005) pp.1099-1122.

[8] R.E. Erkmen, M., Mohareb: Thin-Walled Structures. Vol. 44 (2006) pp.1096-1108.

[9] K. Saade, B. Espion and G. Warzee: Thin-Walled Structures. 42 (2004) pp.857-881.

DOI: 10.1016/j.tws.2003.12.003

[10] Zhaoqiang Wang, Jincheng Zhao. Chinese Journal of Theoretical and Applied Mechanics, in press (in Chinese).

In order to see related information, you need to Login.