Abstract: In order to analyze the restrained torsion of a thick-walled open-section short member, the warpings and the stress distributions of a T-shaped short member and an L-shaped short member due to restrained torsion are determined by employing a unified analytical beam model and a finite nodal-line method. The computational results of examples show that:a thick-walled open-section short member has a torsional (bending) center that does not coincide with its cross-section centroid; when the torque or horizontal loadings do not pass through the torsional center, the member will have a coupling deformation consisting of bending and torsional deformations, and its cross section will undergo an uneven warping, and the warping normal stress and the torsional shear stress on the cross section will have nonlinear distributions.