Bending and torsion of composite beams (torsional-warping shear deformation theory)

L. Kollar, Anikó Pluzsik

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In the design of composite sections, beam theories are used which require the knowledge of the cross-sectional properties, that is, the bending-, the shear-, the torsional-, warping-, axial stiffnesses and the coupling terms. In the classical analysis, the properties are calculated by assuming kinematical relationships (e.g. cross sections remain plane after the deformation of the beam). These assumptions may lead to inaccurate or contradictory results. In this paper, a new theory is presented in which no kinematical assumption is applied, rather the properties are derived from the accurate (three dimensional) equations of beams using limit transition. The theory includes both the in-plane and the torsional-warping shear deformations. As a result of the analysis, the stiffness matrix of the beam is obtained which is needed for either analytical or numerical finite element (FE) solutions. Applications for open section and closed section beams are also presented.

Original languageEnglish
Pages (from-to)441-480
Number of pages40
JournalJournal of Reinforced Plastics and Composites
Volume31
Issue number7
DOIs
Publication statusPublished - Apr 2012

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Stiffness matrix
Torsional stress
Shear deformation
Stiffness
Composite materials

Keywords

  • asymptotic
  • beam theory
  • composite
  • shear deformation
  • stiffness matrix
  • thin wall
  • torsion

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Polymers and Plastics
  • Materials Chemistry
  • Ceramics and Composites

Cite this

Bending and torsion of composite beams (torsional-warping shear deformation theory). / Kollar, L.; Pluzsik, Anikó.

In: Journal of Reinforced Plastics and Composites, Vol. 31, No. 7, 04.2012, p. 441-480.

Research output: Contribution to journalArticle

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