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Timoshenko curved beam bending solutions in terms of Euler-Bernoulli solutions
Authors:C. W. Lim  C. M. Wang  S. Kitipornchai
Affiliation:(1) Department of Civil Engineering, The University of Queensland, St. Lucia, Brisbane, 4072 Queensland, Australia, AU;(2) Department of Civil Engineering, National University of Singapore, Kent Ridge, Singapore 0511, SG
Abstract:
Summary  This paper presents the exact relationships between the deflections and stress resultants of Timoshenko curved beams and that of the corresponding Euler-Bernoulli curved beams. The curved beams considered are of rectangular cross sections and constant radius of curvature. They may have any combinations of classical boundary conditions, and are subjected to any loading distribution that acts normal to the curved beam centreline. These relationships allow engineering designers to directly obtain the bending solutions of Timoshenko curved beams from the familiar Euler-Bernoulli solutions without having to perform the more complicated shear deformation analysis. Accepted for publication 26 July 1996
Keywords:  Curved beams  Shear Bending
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