Exact Solution For In-plane Displacement Of Redundant Curved Beam

Curved beams play an important role in modern traffic system, with wonderful streamline shape and convenient way of communication. Yet the innate "Bending-Torsion" effect brings a big amount of obstacles in the process of designing, constructing, and maintaining of curved beams. As the study throughout the world goes wider and deeper, many problems have been optimized and solved, especially the vertical loads of the deadweight of the bridge per se and cars. Nevertheless, the curved beams in-plane problems have not been studied widely. Much less studies could be found in related Criterion and Standards. Therefore, the accidents in design and construction have risen from time to time.Based on the course above, this paper is aimed at fulfilling to the loss of the related theories. This paper emphatically studies that the effect of curved beams stressed by the centripetal force of vehicles running along the bridge in plane. The main content includes:1. Analytical SolutionFirst of all, simplify the real bridges into structures appropriate for calculation. Then using the principles of virtual energy, induce and deduct right analytical solution of displacements of random position on curved beams with different boundary conditions, including single-span (1 redundant, 2 redundant and 3 redundant B.C), two-span same curvature continuous curved beams, and introduce the simple way to calculate the displacement of multi-span same curvature continuous curved beams.2. Theoretical TestsTake the limit of the curvature radius to maximum, and then the displacement solution of curved beams could be compared with the displacement solution of straight beams under equal circumstances. Furthermore, this paper illustrates the model of real...