Transfer relations: useful basis for computer-aided engineering of circular arch structures

Purpose Transfer relations represent analytical solutions of the linear theory of circular arches, relating each one of the kinematic and static variables at an arbitrary cross-section to the kinematic and static variables at the initial cross-section. The purpose of this paper is to demonstrate the...

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Bibliographic Details
Published in:Engineering computations 2021-06, Vol.38 (3), p.1287-1302
Main Authors: Zhang, Jiao-Long, Liu, Xian, Yuan, Yong, Mang, Herbert A, Pichler, Bernhard L.A
Format: Article
Language:English
Subjects:
Arch bridges
Arches
Bearing capacity
Bending moments
Boundary conditions
Bridges
CAE
Columns (structural)
Computer aided engineering
Concrete
Cross-sections
Exact solutions
Hangers
Kinematics
Maximum bending
Numerical analysis
Sensitivity analysis
Structural analysis
Subway stations
Vaults
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Summary:Purpose Transfer relations represent analytical solutions of the linear theory of circular arches, relating each one of the kinematic and static variables at an arbitrary cross-section to the kinematic and static variables at the initial cross-section. The purpose of this paper is to demonstrate the significance of the transfer relations for structural analysis by means of three examples taken from civil engineering. Design/methodology/approach The first example refers to an arch bridge, the second one to the vault of a metro station and the third one to a real-scale test of a segmental tunnel ring. Findings The main conclusions drawn from these three examples are as follows: increasing the number of hangers/columns of the investigated arch bridge entails a reduction of the maximum bending moment of the arch, allowing it to approach, as much as possible, the desired thrust-line behavior; compared to the conventional in situ cast method, a combined precast and in situ cast method results in a decrease of the maximum bending moment of an element of the vault of the studied underground station by 46%; and the local behavior of the joints governs both the structural convergences and the bearing capacity of the tested segmental tunnel ring. Originality/value The three examples underline that the transfer relations significantly facilitate computer-aided engineering of circular arch structures, including arch bridges, vaults of metro stations and segmental tunnel rings.
ISSN:0264-4401
1758-7077
DOI:10.1108/EC-06-2020-0313