A design method for the arch rib axis of an arch bridge

By deriving the analytical function solution of the arch rib axis through mathematical algorithms, the problem of poor adaptability of load distribution in the arch axis design of arch bridges was solved, and the scientific and efficient design of arch bridges and the improvement of material utilization efficiency were achieved.

CN119397644BActive Publication Date: 2025-09-26CCCC SECOND HIGHWAY CONSULTANTS CO LTD
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Patent Information

Application Number
CN202411430982.8
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-10-14
Publication Date
2025-09-26
Estimated Expiration
2044-10-14

AI Technical Summary

Technical Problem

The existing arch axis design method for arch bridges has poor adaptability to load distribution, low calculation and design efficiency, and is difficult to achieve reasonable arch rib axis design.

Method used

A mathematical algorithm is used to derive the analytical function solution of the reasonable axis of the arch rib based on the mechanical equilibrium equation when the arch rib is axially compressed. The design method of the arch rib axis is determined, including establishing a coordinate system, calculating load concentration and section pressure, and correcting the self-weight load error until convergence is achieved.

Benefits of technology

It realizes the reasonable arch rib axis design for any load distribution form, improves the safety and economy of the bridge structure, reduces material usage, and makes the design more scientific and efficient.

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Abstract

The present invention discloses a method for designing the arch rib axis of an arch bridge, belonging to the technical field of bridge engineering. The method includes establishing a coordinate system based on the arch bridge and dividing the half-span arch rib into multiple nodes to obtain a multi-order transformation matrix; calculating the load concentration per meter of the arch rib and calculating the coefficient of the load concentration per meter of the arch rib expressed as a polynomial function and the horizontal component of the axial pressure of the arch rib cross section through the multi-order transformation matrix; calculating the coefficient of the arch rib axis expressed as a polynomial function to obtain the arch rib axis function; combining the arch rib axis function with the first arch rib self-weight load concentration per meter and correcting it according to the arch rib arc length concentration per meter to obtain the second arch rib self-weight load concentration per meter; calculating the maximum error between the first arch rib self-weight load concentration per meter and the second arch rib self-weight load concentration per meter, and determining whether the arch rib axis function is a reasonable arch rib axis. The method provided by the present invention is convenient for engineering application and is suitable for reasonable arch rib axis design of arch bridges.
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