Analytical Solution of Two-Layer Beam Taking into account Interlayer Slip and Shear Deformation
Publication: Journal of Structural Engineering
Volume 133, Issue 6
Abstract
A mathematical model is proposed and its analytical solution derived for the analysis of the geometrically and materially linear two-layer beams with different material and geometric characteristics of an individual layer. The model takes into account the effect of the transverse shear deformation on displacements in each layer. The analytical study is carried out to evaluate the influence of the transverse shear deformation on the static and kinematic quantities. We study a simply supported two-layer planar beam subjected to the uniformly distributed load. Parametric studies have been performed to investigate the influence of shear by varying material and geometric parameters, such as interlayer slip modulus , flexural-to-shear moduli ratios and span-to-depth ratios . The comparison of the results for vertical deflections shows that shear deformations are more important for high slip modulus, for “short” beams with small ratios, and beams with high ratios. In these cases, the effect of the shear deformations becomes significant and has to be addressed in design. It also becomes apparent that models, which consider the partial interaction between the layers, should be employed if beams have very flexible connections.
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Acknowledgments
The work of S. Schnabl was financially supported by the Ministry of Education, Science and Sport of the Republic of Slovenia under Contract No. 3311-02-831625. The support is gratefully acknowledged.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 133 • Issue 6 • June 2007
Pages: 886 - 894
Copyright
© 2007 ASCE.
History
Received: May 11, 2006
Accepted: Nov 27, 2006
Published online: Jun 1, 2007
Published in print: Jun 2007
Notes
Note. Associate Editor: Enrico Spacone
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