Skip to main content
SpringerLink
Log in

Optimization of Extradosed Concrete Bridges

  • Conference paper
  • First Online:
Advances in Structural and Multidisciplinary Optimization (WCSMO 2017)

Included in the following conference series:

Abstract

Extradosed bridges combine the main elements of both a prestressed box girder bridge (PBG) and a cable-stayed bridge. With their shallow cable-stays and stiff decks they represent an economic alternative to PBG bridges and cable-stayed bridges for main spans of 100 to 200 m. Their structural behavior combines the concepts of cable suspension and bending of the high stiffness box girder. The extradosed cable-stays introduce a highly effective prestress on the box girder which enhances its structural efficiency.

The use of optimization techniques in the design of large and complex structures like extradosed bridges naturally arises as an efficient way to compute the two sets of prestressing forces (box girder and cable-stays) and the cross-sectional dimensions of the tower and girder, aiming at reducing the material costs and thus obtaining economical and structurally efficient solutions.

The current research work is a development of previous research works by the authors concerning the optimization of concrete cable-stayed bridges. In this work a numerical model for the design of extradosed concrete bridges was developed. The structural analysis includes all the actions and relevant effects, namely, the construction stages, the time-dependent effects and the geometrical nonlinearities. The discrete direct method is used for sensitivity analysis. The design of extradosed concrete bridges is formulated as a multi-objective optimization problem with objectives of minimum cost, minimum deflections and stresses and a Pareto solution is sought. An entropy-based approach is used to find the minimax solution through the minimization of a convex scalar function. The design variables considered are the extradosed cable areas and prestressing forces, the deck prestressing forces and tendon areas and the towers and deck cross-sections.

The features and applicability of the proposed method are demonstrated by a numerical example concerning the optimization of a real sized extradosed concrete bridge.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 509.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 649.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 649.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Mathivat, J.: Recent developments in prestressed concrete bridges. FIP Notes 1988(2), 15–21 (1988)

    Google Scholar 

  2. Mutsuyoshi, H., Hai, N.D., Kasuga, A.: Recent technology of prestressed concrete bridges in Japan. In: Amin, Okui, Bhuiyan (eds.) IABSE-JSCE Joint Conference on Advances in Bridge Engineering-II, Dhaka, Bangladesh (2010). ISBN: 978-984-33-1893-0

    Google Scholar 

  3. Schlaich, M., Shenawy, E.A.E.: Extradosed Brücken – Tragverhalten und Einstellen der Seilkräfte für ständige Lasten, Recent developments in prestressed concrete bridges. Bautechnik 90 (2013). (in German)

    Google Scholar 

  4. Otsuka, H., Wakasa, T., Ogata, J., Yabuki, W., Takemura, D.: Comparison of structural characteristics for different types of cable-supported prestressed concrete bridges. Struct. Concrete 3(1), 4–21 (2002)

    Article  Google Scholar 

  5. Mermigas, K.K.: Behaviour and Design of Extradosed Bridges, Master of Applied Science Thesis, Graduate Department of Civil Engineering, University of Toronto (2008)

    Google Scholar 

  6. Komiya, M.: Characteristics and Design of PC Bridges with Large Eccentric Cables, Extradosed Bridge Technology in Japan and the New Pearl Harbor Memorial Bridge. Federal Highway Administration/U.S. Department of Transportation and The Connecticut Department of Transportation, Washington, DC, pp. 55–80 (1999)

    Google Scholar 

  7. Svensson, H.: Cable-Stayed Bridges: 40 Years of Experience Worldwide. Ernst & Sohn, Berlin (2012)

    Book  Google Scholar 

  8. Martins, A.M.B., Simões, L.M.C., Negrão, J.H.J.O.: Cable stretching force optimization of concrete cable-stayed bridges including construction stages and time-dependent effects. Struct. Multi. Optim. 51(3), 757–772 (2015)

    Article  MathSciNet  Google Scholar 

  9. Martins, A.M.B., Simões, L.M.C., Negrão, J.H.J.O.: Optimum design of concrete cable-stayed bridges. Eng. Optim. 48(5), 772–791 (2015)

    Article  MathSciNet  Google Scholar 

  10. Martins, A.M.B., Simões, L.M.C., Negrão, J.H.J.O.: Optimum design of concrete cable-stayed bridges with prestressed decks. Comput. Methods Eng. Sci. Mech. 17(5–6), 339–349 (2016)

    Article  MathSciNet  Google Scholar 

  11. Cluley, N.C., Shepherd, R.: Analysis of concrete cable-stayed bridges for creep, shrinkage and relaxation effects. Comput. Struct. 58(2), 337–350 (1996)

    Article  Google Scholar 

  12. Somja, H., de Ville de Goyet, V.: A new strategy for analysis of erection stages including an efficient method for creep analysis. Eng. Struct. 30, 2871–2883 (2008)

    Article  Google Scholar 

  13. Wang, P.-H., Yang, C.-G.: Parametric studies on cable-stayed bridges. Comput. Struct. 60(2), 243–260 (1996)

    Article  Google Scholar 

  14. Freire, A.M.S., Negrão, J.H.O., Lopes, A.V.: Geometrical nonlinearities on the static analysis of highly flexible steel cable-stayed bridges. Comput. Struct. 84, 2128–2140 (2006)

    Article  Google Scholar 

  15. EN 1992-1-1, NP EN 1992-1-1 Eurocódigo 2 – Projecto de estruturas de betão, Parte 1-1: Regras gerais e regras para edifícios, IPQ – Instituto Português da Qualidade (2)010

    Google Scholar 

  16. Bazant, Z.P.: Material models for structural creep analysis. In: Bazant, Z.P. (ed.) Mathematical Modelling of Creep and Shrinkage of Concrete, pp. 99–215. John Wiley and Sons, Ltd. (1998)

    Google Scholar 

  17. Ernst, J.H.: Der E-Modul von Seilen unter berucksichtigung des Durchhanges. Der Bauingenieur 40(2), 52–55 (1965)

    Google Scholar 

  18. Chen, W.F., Lui, E.M.: Stability Design of Steel Frames. CRC Press, Boca Raton (1991)

    Google Scholar 

  19. EN 1993-1-11, EN 1993-1-11 Eurocode 3 – Design of steel structures, Part 1-11: Design of structures with tension components, CEN – Comité Européen de Normalisation (2006)

    Google Scholar 

  20. Simões, L.M.C., Templeman, A.B.: Entropy-based synthesis of pretensioned cable net structures. Eng. Optim. 15, 121–140 (1989)

    Article  Google Scholar 

  21. EN 1991-1-6, EN 1991-1-6 Eurocode 1 – Actions on structures, Part 1-6: General actions – Actions during execution, CEN – Comité Européen de Normalisation (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Coimbra, Coimbra, Portugal

    Alberto M. B. Martins, Luís M. C. Simões & João H. J. O. Negrão

Authors
  1. Alberto M. B. Martins
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Luís M. C. Simões
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. João H. J. O. Negrão
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Luís M. C. Simões .

Editor information

Editors and Affiliations

  1. Chair for Optimization of Mechanical Stuctures, Faculty for Mechanical Engineering and Safety Engineering, University of Wuppertal, Wuppertal, Germany

    Axel Schumacher

  2. Institute for Construction Enginnering, Technische Universität Braunschweig, Braunschweig, Germany

    Thomas Vietor

  3. Braunschweig, Germany

    Sierk Fiebig

  4. Chair of Structural Analysis, Technische University of Munich, Munich, Germany

    Kai-Uwe Bletzinger

  5. Engineering Center, ECAE 197, University of Colorado Boulder, Boulder, Colorado, USA

    Kurt Maute

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Martins, A.M.B., Simões, L.M.C., Negrão, J.H.J.O. (2018). Optimization of Extradosed Concrete Bridges. In: Schumacher, A., Vietor, T., Fiebig, S., Bletzinger, KU., Maute, K. (eds) Advances in Structural and Multidisciplinary Optimization. WCSMO 2017. Springer, Cham. https://doi.org/10.1007/978-3-319-67988-4_144

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-67988-4_144

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67987-7

  • Online ISBN: 978-3-319-67988-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation