In-plane Displacements of Thin-walled Curved Beams

This paper presents a modified approach for the calculation of longitudinal displacements (circumferential displacements) of an arbitrary point on the middle surface of thin-walled curved beams with constant radius of the curved centroid line and with a doubly symmetric open cross-sections (I and H cross-sections). The governing equations for thin-walled curved beams loaded in the plane of curvature are obtained from the equilibrium equations of the curved centroid line. Moreover, closed-form solutions for the case of in-plane loading of thin-walled curved beams obtained by the initial parameter method are compared with the solutions presented by other researchers and with the results of the finite element method analysis.