Exact Solutions of Stiffness Matrix for Curved Beams with Pinned-Pinned Ends

Abstract

Based on the theory of virtual work and principle of thermal elasticity, exact solutions for in-plane displacements of curved beams with pinned-pinned ends 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 stiffness matrix of statically indeterminate curved beams at three freedom direction is derived explicitly. The exact solutions of stiffness matrix obtained in this paper would provide a scientific base for further study and design of the curved bridges