Numerical Method for Saint -Venant Torsion Problem with Arbitrary Cross-Sections

Abstract

A numerical method solving the Saint-Venant torsion problem with arbitrary cross-sections was derived by Gruttmann in 1999. The numerical method is validated by analyzing two examples with two mesh types: uniform and non-uniform; excellent accuracy was obtained compared to analytical solutions. Further, the comparison between three elements: LINQUAD, QUAD8NOD, and QUAD9NOD to choose the appropriate element for the numerical method was performed. The conclusion drawn is that our numerical method with QUAD8NOD and QUAD9NOD elements is suitable for Saint-Venant torsion problem.