Analytical Solutions at Three Freedom Direction for Curved Beams with Clamped-Pinned Ends under Thermal Load
The purpose of the paper is to present analytical solution of curved beam with clamped-pinned ends under thermo load based on the principle of thermal expansion and theory of virtual work. A class of equations for in-plane displacements at three freedom direction and internal forces in the cross-section of statically indeterminate curved beams under thermo 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.
X. F. Li et al., "Analytical Solutions at Three Freedom Direction for Curved Beams with Clamped-Pinned Ends under Thermal Load", Applied Mechanics and Materials, Vols. 94-96, pp. 322-325, 2011