Determination of the Prandtl's Stress Function for Non-Warping Anisotropic Cross Section

Abstract

The object of this paper is the Saint-Venant torsion of homogeneous anisotropic cross section. The classes of anisotropy considered has at least one plane of elastic symmetry, which is normal to the axis of the beam. A new and very simple derivation is given to obtain the boundary contour of the non-warping anisotropic cross section. The determination of the torsional rigidity in terms of area of the cross section is also presented.