Abstract
The purpose of the paper is to present an exact analytical solution of a spatial curved beam under multiple loads based on the existing theory. The transverse shear deformation and torsion-related warping effects are taken into account. By using this solution, a plane curved beam subjected to uniform vertical loads and torsions is analyzed. Accuracy and efficiency of present theory are demonstrated by comparing its numerical results with Heins’ solution. Furthermore, the effects of the transverse shear deformation and torsion-related warping on deformation of the beam are discussed.
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Communicated by DING Hao-jiang
Project supported by the National Natural Science Foundation of China (No. 50578021)
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Zhu, Ll., Zhao, Yh. Exact solution for warping of spatial curved beams in natural coordinates. Appl. Math. Mech.-Engl. Ed. 29, 933–941 (2008). https://doi.org/10.1007/s10483-008-0712-x
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DOI: https://doi.org/10.1007/s10483-008-0712-x