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Based on the theories of Timoshenko’s beams and Vlasov’s thin-walled members, a new spatial thin-walled beam element with an interior node is developed.By independently interpolating bending angles and warp,factors such as transverse shear deformation,torsional shear deformation and their coupling,coupling of flexure and torsion, and second shear stress axe considered.According to the generalized variational theory of Hellinger-Reissner,the element stiffness matrix is derived.Examples show that the developed model is accurate and can be applied in the finite element analysis of thin-walled structures.
Based on the theories of Timoshenko’s beams and Vlasov’s thin-walled members, a new spatial thin-walled beam element with an interior node is developed.By independently interpolating bending angles and warp, factors such as transverse shear deformation, torsional shear deformation and their coupling , coupling of flexure and torsion, and second shear stress ax considered. According to the generalized variational theory of Hellinger-Reissner, the element stiffness matrix is derived. Examples of that that the developed model is accurate and can be applied in the finite element analysis of thin-walled structures.