Torsional shear stress with arbitrary cross-sections in homogeneous isotropic elastic material using finite element method

Abstract

Determining the shear stress of a structural element caused by torsion is a vital problem. The analytical solution of the Saint-Venant torsion is only suitable for simple cross-sections. The numerical methods to evaluate the shear stress due to torsion of complicated cross-sections is indispensable. Many scientists have studied the torsion problem with various numerical methods. This paper aims to present an efficient finite element method for assessing the shear stress with arbitrary cross-sections in homogeneous isotropic elastic material due to torsion. MATLAB is the language for programming the numerical method. The validation examples were performed to show the reliability and efficiency of the author's numerical method.