Mechanics in Engineering ›› 2019, Vol. 41 ›› Issue (4): 453-457.doi: 10.6052/1000-0879-18-453

• Research on Education • Previous Articles     Next Articles


LU Xiaoming*,2), CAO Hai*,3), GONG Yaoqing†,4)   

  1. *Zhengzhou Institute of Science & Technology, Zhengzhou 450000, China;
    Modern Bridge Institute of Structures Technology, Huanghe S & T University, Zhengzhou 450063, China
  • Published:2019-08-26

Abstract: In order to determine the position of the torsional center of a beam of arbitrary complex non-circular section, the shape of all the out-of-plane deformation of the beam of non-circular section caused by non-uniform torsion is expressed by the nodal-line method as a family of surfaces containing unknown functions of the nodal lines. After establishing the governing equations of the beam caused by its non-uniform torsion, the numerical solutions of these unknown functions are obtained by using an ODE (ordinary differential equation) solver for a torque and a transverse load separately. Finally, the position of the torsional center of the beam of a complex cross section is derived by using the principle of stiffness equivalence. The computational results of examples show that the method is reliable for computing the torsional center position of a beam of arbitrary complex non-circular section.

Key words: arbitrarily complex cross-sectional beams, torsional center, nodal-line method, non-uniform torsion, special-shaped columns

CLC Number: 

  • TU375