LU Xiaoming, CAO Hai, GONG Yaoqing. TORSIONAL CENTER OF BEAMS OF ARBITRARY COMPLEX CROSS-SECTION 1)[J]. MECHANICS IN ENGINEERING, 2019, 41(4): 453-457. DOI: 10.6052/1000-0879-18-453
Citation: LU Xiaoming, CAO Hai, GONG Yaoqing. TORSIONAL CENTER OF BEAMS OF ARBITRARY COMPLEX CROSS-SECTION 1)[J]. MECHANICS IN ENGINEERING, 2019, 41(4): 453-457. DOI: 10.6052/1000-0879-18-453

TORSIONAL CENTER OF BEAMS OF ARBITRARY COMPLEX CROSS-SECTION 1)

  • 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.
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