Analytical Solution of Two-Layer Beam Taking into account Interlayer Slip and Shear Deformation
- 1 June 2007
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Structural Engineering
- Vol. 133 (6), 886-894
- https://doi.org/10.1061/(asce)0733-9445(2007)133:6(886)
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.
Keywords
This publication has 18 references indexed in Scilit:
- Non-linear analysis of composite steel-concrete beams with incomplete interactionSteel and Composite Structures, 2004
- Non-linear finite element analysis of composite planar frames with an interlayer slipComputers & Structures, 2004
- Theoretical and Experimental Deformation Parameters of Composite Beams with Account of Deplanation of Cross Sections in BendingMechanics of Composite Materials, 2003
- Modelling of continuous steel–concrete composite beams: computational aspectsComputers & Structures, 2002
- Steel and concrete composite beams with flexible shear connection: “exact” analytical expression of the stiffness matrix and applicationsComputers & Structures, 2002
- A two-field mixed variational principle for partially connected composite beamsFinite Elements in Analysis and Design, 2001
- Analytical modeling of nonlinear behavior of composite beams with deformable connectionJournal of Constructional Steel Research, 1999
- Composite Beam‐Columns with Interlayer Slip—Exact AnalysisJournal of Structural Engineering, 1993
- Layered Beam Systems with Interlayer SlipJournal of the Structural Division, 1968
- The Shear Coefficient in Timoshenko’s Beam TheoryJournal of Applied Mechanics, 1966