Curved composite beam with interlayer slip loaded by radial load

Abstract

Elastic two-layer curved composite beam with partial shear interaction is considered. It is assumed that each curved layer separately follows the Euler-Bernoulli hypothesis and the load slip relation for the flexible shear connection is a linear relationship. The curved composite beam at one of the end cross sections is fixed and the other end cross section is subjected by a concentrated radial load. Two cases are considered. In the first case the loaded end cross section is closed by a rigid plate and in the second case the radial load is applied immediately to it. The paper gives solutions for radial displacements, slips and stresses. The presented examples can be used as benchmark for the other types of solutions as given in this study.

Energy methods for curved composite beams with partial shear interaction

“…The geometric boundary conditions refer to deflection and cross-sectional rotation [19]. For this field we define the potential energy as [20,21] …”

“…Tan and Uy gave a detailed description of the torsion induced vertical slip [18]. Two-layer curved composite beam with imperfect shear connection for in-plane deformation caused by concentrated radial load is considered in paper Ecsedi and Lengyel [19]. Here, the solution of the equilibrium problem of two-layer curved composite beam with weak shear connection is given by energy method.…”

“…Here, the solution of the equilibrium problem of two-layer curved composite beam with weak shear connection is given by energy method. Paper [19] used a direct analytical method which is based on the integration of equilibrium equations. The equilibrium equations are formulated in terms of radial displacement, cross-sectional rotations and slip function in paper by Ecsedi and Lengyel [19].…”

“…1. The designations of this paper follow which were used in [19]. The connection of beam components B 1 and B 2 is perfect on their common boundary surface ∂B 12 in radial direction but in the circumferential direction may be jump in the displacements, which is called interlayer slip.…”

“…The formulation of the problem is given in the cylindrical coordinate system Orφz. The in-plane deformation of twolayer curved beam is described by the next displacement field [9,19] …”