Abstract
Based on the principle of thermal expansion and theory of virtual work, a class of equations for in-plane displacements at radial direction and internal forces in the cross-section of statically indeterminate curved beams under radial concentrated load are derived explicitly. In the case of infinite limit of radius, these equations coincide with that of the straight beams. Compared with the results of FEM, the analytical solutions by the proposed formulae are accurate. The analytical solutions obtained in this paper would provide a scientific base for further study and design of the curved bridges.
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