### Abstract

Composite beams and columns are analyzed and designed either with explicit beam expressions or with numerical (e.g. FE) methods, both require the knowledge of the cross sectional properties, i.e. the bending-, the shear-, the torsional-, warping-, axial stiffnesses and the coupling terms. These properties are calculated either by using kinematical relationships (e.g. cross sections remain-plane after the deformation of the beam) or by asymptotic methods, however in both cases the accuracy depends on the assumed degree of freedom of the model. 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 (FE) solutions.

Original language | English |
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Title of host publication | ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials |

Publisher | European Conference on Composite Materials, ECCM |

ISBN (Print) | 9788888785332 |

Publication status | Published - 2012 |

Event | 15th European Conference on Composite Materials: Composites at Venice, ECCM 2012 - Venice, Italy Duration: Jun 24 2012 → Jun 28 2012 |

### Other

Other | 15th European Conference on Composite Materials: Composites at Venice, ECCM 2012 |
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Country | Italy |

City | Venice |

Period | 6/24/12 → 6/28/12 |

### Fingerprint

### Keywords

- Beam theory
- Composite
- Stiffness matrix
- Torsion

### ASJC Scopus subject areas

- Ceramics and Composites

### Cite this

*ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials*European Conference on Composite Materials, ECCM.

**New composite beam theory including torsional-warping shear deformations.** / Kollar, L.; Pluzsik, A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials.*European Conference on Composite Materials, ECCM, 15th European Conference on Composite Materials: Composites at Venice, ECCM 2012, Venice, Italy, 6/24/12.

}

TY - GEN

T1 - New composite beam theory including torsional-warping shear deformations

AU - Kollar, L.

AU - Pluzsik, A.

PY - 2012

Y1 - 2012

N2 - Composite beams and columns are analyzed and designed either with explicit beam expressions or with numerical (e.g. FE) methods, both require the knowledge of the cross sectional properties, i.e. the bending-, the shear-, the torsional-, warping-, axial stiffnesses and the coupling terms. These properties are calculated either by using kinematical relationships (e.g. cross sections remain-plane after the deformation of the beam) or by asymptotic methods, however in both cases the accuracy depends on the assumed degree of freedom of the model. 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 (FE) solutions.

AB - Composite beams and columns are analyzed and designed either with explicit beam expressions or with numerical (e.g. FE) methods, both require the knowledge of the cross sectional properties, i.e. the bending-, the shear-, the torsional-, warping-, axial stiffnesses and the coupling terms. These properties are calculated either by using kinematical relationships (e.g. cross sections remain-plane after the deformation of the beam) or by asymptotic methods, however in both cases the accuracy depends on the assumed degree of freedom of the model. 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 (FE) solutions.

KW - Beam theory

KW - Composite

KW - Stiffness matrix

KW - Torsion

UR - http://www.scopus.com/inward/record.url?scp=84904012329&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904012329&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9788888785332

BT - ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials

PB - European Conference on Composite Materials, ECCM

ER -