A simplified solution of the torsional rigidity of the composite beams by using FEM

A. Saygun; M. H. Omurtag; E. Orakdogen; K. Girgin; S. Kucukarslan; K. Darilmaz

doi:10.1260/136943307782417726

A simplified solution of the torsional rigidity of the composite beams by using FEM

A. Saygun, M. H. Omurtag, E. Orakdogen, K. Girgin^*, S. Kucukarslan, K. Darilmaz

^*Corresponding author for this work

Department of Civil Engineering

Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper, the torsional rigidity of the composite sections formed by different materials is obtained by using a finite element procedure. In the derivation of the differential equation, the Saint-Venant's stress function was used. The obtained partial differential equation was discretized by finite elements to get the potentials in the nodal points. After the calculations of the unknown potentials on the composite cross-section, the torsional rigidity is calculated by integrating the potentials on the solution domain. To test the validity of the proposed algorithm, the available analytical and numerical results from the previous studies were studied. It was seen that this new algorithm is efficient and simpler than the previous ones.

Original language	English
Pages (from-to)	467-473
Number of pages	7
Journal	Advances in Structural Engineering
Volume	10
Issue number	5
DOIs	https://doi.org/10.1260/136943307782417726
Publication status	Published - Oct 2007

Keywords

Composite beam
Finite element method
Numerical analysis
Saint-Venant's stress function
Torsional rigidity

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10.1260/136943307782417726

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title = "A simplified solution of the torsional rigidity of the composite beams by using FEM",

abstract = "In this paper, the torsional rigidity of the composite sections formed by different materials is obtained by using a finite element procedure. In the derivation of the differential equation, the Saint-Venant's stress function was used. The obtained partial differential equation was discretized by finite elements to get the potentials in the nodal points. After the calculations of the unknown potentials on the composite cross-section, the torsional rigidity is calculated by integrating the potentials on the solution domain. To test the validity of the proposed algorithm, the available analytical and numerical results from the previous studies were studied. It was seen that this new algorithm is efficient and simpler than the previous ones.",

keywords = "Composite beam, Finite element method, Numerical analysis, Saint-Venant's stress function, Torsional rigidity",

author = "A. Saygun and Omurtag, {M. H.} and E. Orakdogen and K. Girgin and S. Kucukarslan and K. Darilmaz",

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T1 - A simplified solution of the torsional rigidity of the composite beams by using FEM

AU - Saygun, A.

AU - Omurtag, M. H.

AU - Orakdogen, E.

AU - Girgin, K.

AU - Kucukarslan, S.

AU - Darilmaz, K.

PY - 2007/10

Y1 - 2007/10

N2 - In this paper, the torsional rigidity of the composite sections formed by different materials is obtained by using a finite element procedure. In the derivation of the differential equation, the Saint-Venant's stress function was used. The obtained partial differential equation was discretized by finite elements to get the potentials in the nodal points. After the calculations of the unknown potentials on the composite cross-section, the torsional rigidity is calculated by integrating the potentials on the solution domain. To test the validity of the proposed algorithm, the available analytical and numerical results from the previous studies were studied. It was seen that this new algorithm is efficient and simpler than the previous ones.

AB - In this paper, the torsional rigidity of the composite sections formed by different materials is obtained by using a finite element procedure. In the derivation of the differential equation, the Saint-Venant's stress function was used. The obtained partial differential equation was discretized by finite elements to get the potentials in the nodal points. After the calculations of the unknown potentials on the composite cross-section, the torsional rigidity is calculated by integrating the potentials on the solution domain. To test the validity of the proposed algorithm, the available analytical and numerical results from the previous studies were studied. It was seen that this new algorithm is efficient and simpler than the previous ones.

KW - Composite beam

KW - Finite element method

KW - Numerical analysis

KW - Saint-Venant's stress function

KW - Torsional rigidity

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DO - 10.1260/136943307782417726

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SP - 467

EP - 473

JO - Advances in Structural Engineering

JF - Advances in Structural Engineering

IS - 5

ER -

A simplified solution of the torsional rigidity of the composite beams by using FEM

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Keywords

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