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Analysis of Arch-beam Vertical Stiffness Ratio of the Continuous Beam-arch Composite Bridge on a High Speed Railway |
MA Kunquan |
Tongji University, Shanghai 200092, China |
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Abstract Research purposes: In the design of beam-arch combination system bridges, the arch-beam stiffness ratio has a greater influence on the force and deformation, dynamic characteristics, structural stability, and construction methods of the overall structure. The arch-beam vertical stiffness ratio should be selected reasonably according to the specific situation to achieve the optimal structural system. In the existing beam-arch structure performance research, the arch-beam stiffness ratio is generally considered to be the ratio of the flexural stiffness of the arch rib and the main beam, and the stiffness of the structure can not be accurately reflected by the calculation method. In order to truly reflect the relative stiffness of the arch and girder of the beam-arch combination bridge, it is necessary to scientifically calculate the arch-beam vertical stiffness ratio according to the mechanical principles, and discuss its influence on the structural performance and related design parameters. Research conclusions: (1) The stiffness characteristics of the arch-beam composite structure can be fully reflected when the arch-beam vertical stiffness ratio is calculated by the ratio of the vertical stiffness of the arch rib to the main girder in the mid-span. (2) Accompanying with the increase of the arch-beam vertical stiffness ratio, the static live load deflection of side span is gradually increased. The deflection-span ratio of the side span will be greater than that of the main span, and the vertical stiffness of the structure may be controlled by the side span stiffness of the main beam when the arch-beam stiffness ratio achieving a specific value. (3) The load sharing by the arch ribs gradually increases under the effects of the self-weight of accessory equipment and live load with the increase of the arch-beam stiffness ratio, and the speed changes obviously from fast to slow. The increase speed of load-sharing ratio of the arch ribs will be basically stable when the arch-beam vertical stiffness ratio is greater than 0.621 2. (4) The continuous beam-arch combination system bridge can be divided into three types according to the vertical stiffness ratio of the arch ribs and the main beam. It is a strong beam and weak arch bridge when the vertical stiffness ratio of the arch beam is less than 0.3; it is a strong beam and strong arch bridge when the stiffness ratio of the arch beam is between 0.3 and 1.5; it is a strong arch and weak beam bridge when the arch-beam stiffness ratio is greater than 1.5. (5) The span ratio between the side and the middle span should be reduced simultaneously accompanying with the increase of the arch-beam stiffness ratio in the design of beam-arch combination system bridges. The relationship between the upper limit(y)of the reasonable side-mid span ratio and the vertical stiffness ratio(x)of the arch-beam can be taken as y=0.414 4x-0.105 .(6) The research results can be used as a reference for the structural analysis and engineering design of beam-arch combination system bridges.
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Received: 13 August 2021
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