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Civil-Comp Conferences
ISSN 2753-3239
CCC: 5
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON SOFT COMPUTING, MACHINE LEARNING AND OPTIMISATION IN CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING
Edited by: P. Iványi, J. Logo and B.H.V. Topping
Paper 1.9

Optimization of bowstring tied-arch concrete bridges

A.M.B. Martins1, L.M.C. Simoes1 and J.H.J.O. Negrao2

1University of Coimbra, ADAI, Civil Engineering Department, Portugal
2University of Coimbra, Civil Engineering Department, Portugal

Full Bibliographic Reference for this paper
A.M.B. Martins, L.M.C. Simoes, J.H.J.O. Negrao, "Optimization of bowstring tied-arch concrete bridges", in P. Iványi, J. Logo, B.H.V. Topping, (Editors), "Proceedings of the Sixth International Conference on Soft Computing, Machine Learning and Optimisation in Civil, Structural and Environmental Engineering", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 5, Paper 1.9, 2023, doi:10.4203/ccc.5.1.9
Keywords: optimization, bowstring, tied-arch, bridges, concrete, prestressing.

Abstract
This paper presents an optimization-based approach for the design of bowstring tiedarch concrete bridges. This is composed by a convex optimization algorithm combined with a multi-start procedure to obtain local optimum solutions and the best of which is selected as the optimum design. The finite element method is used for the three-dimensional analysis considering dead and road traffic live loads, geometrical nonlinearities and time-dependent effects. The design is formulated as a multiobjective optimization problem with objectives of minimum cost, deflections and stresses considering service and strength criteria defined according to the Eurocodes provisions. This minimax problem is solved indirectly by the minimization of a convex scalar function obtained through an entropy-based approach. The discrete direct method is used for sensitivity analysis. The design variables are the arch and deck sizes, the hangers and tendons cross-sectional areas and prestressing forces, and the arch rise. The optimization of a 120 m span bridge illustrates the features and applicability of the proposed approach. Minimum cost solutions are obtained featuring a balance between the arch and deck stiffness, and the suspension effect provided by the hangers. The optimum solution features a deck slenderness of 1/120 and an arch rise-to-span ratio of 1/5.3.

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