# A Simplified Solution of the Torsional Rigidity of the Composite Beams by Using FEM

A Simplified Solution of the Torsional Rigidity of the Composite Beams by Using FEM 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Structural Engineering SAGE

# A Simplified Solution of the Torsional Rigidity of the Composite Beams by Using FEM

, Volume 10 (5): 7 – Oct 1, 2007
7 pages

/lp/sage/a-simplified-solution-of-the-torsional-rigidity-of-the-composite-beams-YYLREfgQPV
Publisher
SAGE
ISSN
1369-4332
eISSN
2048-4011
DOI
10.1260/136943307782417726
Publisher site
See Article on Publisher Site

### 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.