Analytical solution of two-layer beam taking into account interlayer slip and shear deformation

Schnabl, Simon (author), Saje, Miran (author), Turk, Goran (author), Planinc, Igor (author)

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 (K), flexural-to-shear moduli ratios (E/G) and span-to-depth ratios (L/h). The comparison of the results for vertical deflections shows that shear deformations are more important for high slip modulus, for ``short'' beams with small L/h ratios, and beams with high E/G 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.

• Language: English
• Keywords: beams, shear deformation, elasticity, composite structures, slip
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publisher: American Society of Civil Engineers
• Year: 2007
• Number of pages: Str. 886-894
• Numbering: Letn. 133, Št. 6
• PID: 20.500.12556/RUL-32116
• UDC: 624.072.2
• ISSN on article: 0733-9445
• DOI: 10.1061/(ASCE)0733-9445(2007)133:6(886)
• COBISS.SI-ID: 3550305
• Publication date in RUL: 10.07.2015

SCHNABL, Simon, SAJE, Miran, TURK, Goran and PLANINC, Igor, 2007, Analytical solution of two-layer beam taking into account interlayer slip and shear deformation. Journal of structural engineering [online]. 2007. Vol. 133, no. Št. 6, p. 886–894. [Accessed 17 May 2025]. DOI 10.1061/(ASCE)0733-9445(2007)133:6(886). Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=32116

Record is a part of a journal

• Title: Journal of structural engineering
• Shortened title: J. struct. eng.
• Publisher: American Society of Civil Engineers
• ISSN: 0733-9445
• COBISS.SI-ID: 1336581

Secondary language

• Language: English
• Keywords: nosilci, strižna deformacija, elastičnost, kompoziti, zdrs