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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
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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