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Consequences of Simplifications in Modelling and Analysis of Masonry Arch Bridges

  • Tomasz KamińskiEmail author
Conference paper
Part of the Structural Integrity book series (STIN, volume 11)

Abstract

The paper presents a problem of a simplified modelling of masonry arch bridges utilising a linear elastic material model. Although, such approach provides significant time and labour savings, it may lead to dangerous overestimation of the load carrying capacity of evaluated structures. Theoretical bases for this effect are being explained and illustrated by means of a comparison of two essentially different approaches to analysis of masonry arch bridges. Both of them are using Finite Element Method, however each with different material model for the arch barrel. One of them is based on an advanced nonlinear non-tensile-resistant constitutive model most properly representing masonry, while the other one is a linear-elastic model with unlimited compressive as well as tensile strength. In a parametric study of bridges with various geometries and mechanical properties all differences depending on the applied material model in the structures’ response to typical loading scenario are presented. Clear measures enabling numerical comparison of the approaches are given. Some diagrams are provided to describe and explain effectively the essence and causes of the appearing differences (including distribution of internal forces or cracking development) originating from the chosen material modelling techniques. General conclusions coming from the study are drawn.

Keywords

Masonry arch bridge Numerical modelling Nonlinear analysis The ultimate load 

References

  1. 1.
    UIC Code 778-3R. Recommendations for the assessment of the load carrying capacity of existing masonry and mass-concrete arch bridges (1995)Google Scholar
  2. 2.
    Costa, C., Kamiński, T.: Comparison of various modelling techniques applied in analysis of masonry arch bridges. In: 8th International Conference on Arch Bridges, Wrocław, Poland, 5–7 October 2016, pp. 835–842 (2016)Google Scholar
  3. 3.
    Hojdys, Ł., Kamiński, T., Krajewski, P.: Experimental and numerical simulations of collapse of masonry arches. In: 7th International Conference on Arch Bridges, Trogir-Split, Croatia, pp. 715–722 (2013)Google Scholar
  4. 4.
    Kamiński, T.: Tests to collapse of masonry arch bridges simulated by means of FEM. In: 5th International Conference on Bridge Maintenance. Safety, Management and Life-Cycle Optimization (IABMAS 2010), Philadelphia, USA, pp. 1420–1427. Taylor & Francis Group, London (2010)Google Scholar
  5. 5.
    Kamiński, T., Bień, J.: Condition assessment of masonry bridges in Poland. In: National Conference on Bridge Maintenance and Safety of Bridges (ASCP’2015), 25–26 June 2015, Lisbon, Portugal, pp. 126–135 (2015)Google Scholar
  6. 6.
    Kamiński, T., Machelski, Cz.: Experimental and numerical study on displacements of masonry bridges under live loads. In: 8th International Conference on Arch Bridges, Wrocław, 5–7 October, pp. 1019–1028 (2016)Google Scholar
  7. 7.
    Kamiński, T.: Mesomodelling of masonry arches. In: 6th International Conference AMCM 2008 – Analytical Models and New Concepts in Concrete and Masonry Structures Łódź, Poland, 9–11 June 2008, pp. 359–360 (2008)Google Scholar
  8. 8.
    Kamiński, T., Bień, J.: Application of kinematic method and FEM in analysis of ultimate load bearing capacity of damaged masonry arch bridges. Procedia Eng. 57, 524–532 (2013)CrossRefGoogle Scholar
  9. 9.
    Lee, J.S., Fenves, G.L.: Plastic-damage model for cyclic loading of concrete structures. J. Eng. Mech. 124(8), 892–900 (1998)CrossRefGoogle Scholar
  10. 10.
    Lubliner, J., Oliver, J., Oller, S., Oñate, E.: A plastic-damage model for concrete. Int. J. Solids Struct. 25(3), 229–326 (1989)CrossRefGoogle Scholar
  11. 11.
    Helmerich, R., Niederleithinger, E., Trela, C., Bień, J., Kamiński, T., Bernardini, G.: Multi-tool inspection and numerical analysis of an old masonry arch bridge. Struct. Infrastruct. Eng. 8(1), 27–39 (2012)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Wrocław University of Science and TechnologyWrocławPoland

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