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An Approximate Analytic Solution for the Stresses and Displacements of Thin-Walled Orthotropic Beams Subjected to Torsion

An approximate solution for the stresses and displacements according to the theory of torsion with influence of shear is given. It is assumed that the normal stresses in the transverse direction are small compared to the normal stresses in the longitudinal direction that can be ignored in the stress-strain relations. The solution for the stresses and displacements are given in the analytic form. The unidirectional orthotropic beams with double symmetrical cross-section are considered. The results are compared to the finite element method on several examples.

thin - walled beams ; torsion ; shear ; orthotropic material

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