Open Access

ARTICLE

Shear Deformation Effect in Second-Order Analysis of Composite Frames Subjected in Variable Axial Loading by BEM

E.J. Sapountzakis¹, V.G. Mokos¹

1 School of Civil Engineering, National Technical University, Zografou Campus, GR-157 80 Athens, Greece. Email: cvsapoun@central.ntua.gr

Structural Durability & Health Monitoring 2006, 2(4), 207-224. https://doi.org/10.3970/sdhm.2006.002.207

Abstract

In this paper a boundary element method is developed for the second-order analysis of frames consisting of composite beams of arbitrary constant cross section, taking into account shear deformation effect. The composite beam consists of materials in contact, each of which can surround a finite number of inclusions. The materials have different elasticity and shear moduli with same Poisson's ratio and are firmly bonded together. Each beam is subjected in an arbitrarily concentrated or distributed variable axial loading, while the shear loading is applied at the shear center of the cross section, avoiding in this way the induction of a twisting moment. To account for shear deformations, the concept of shear deformation coefficients is used. Three boundary value problems are formulated with respect to the beam deflection, the axial displacement and to a stress function and solved employing a pure BEM approach, that is only boundary discretization is used. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress function using only boundary integration. Numerical examples with great practical interest are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The influence of both the shear deformation effect and the variableness of the axial loading are remarkable.

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