An Exact Theory for Curved Beams with Any Thin-Walled Open Sections

Abstract

Currently available theories for thin-walled curved beams lack rigorous theoretical development. This paper provides a detailed derivation of an exact theory for biaxial bending and torsion of thin-walled circularly curved beams with any open profile. The derivation is based on two well-accepted assumptions in the theory of thin-walled members. Exact expressions for longitudinal displacement, longitudinal normal stress and shear stress and their resultants are presented. Simplified theories are also given for practical applications.