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Limit Analysis of Masonry Arch Bridges Using Discontinuity Layout Optimization

  • Matthew GilbertEmail author
  • John Valentino
  • Colin Smith
  • Tom Pritchard
Conference paper
Part of the Structural Integrity book series (STIN, volume 11)

Abstract

Limit analysis provides a simple yet powerful and effective means of verifying the safety of masonry arch bridges. However, a disadvantage of traditional rigid block limit analysis methods is that any soil fill surrounding the arch barrel in a bridge cannot readily be modelled directly, since the locations of potential failure planes in the soil are not known in advance. Also, it will seldom be feasible to model every individual unit in the masonry parts of a bridge with a rigid block. In this contribution discontinuity layout optimization (DLO) is used to extend the scope of the traditional rigid block analysis method, enabling direct modelling of both masonry and soil elements. DLO involves discretizing a solid body using nodes, and then interconnecting pairs of nodes with potential failure plane discontinuities. Optimization can then be used to identify the critical subset of discontinuities at failure which defines the geometry of the critical failure mechanism. In this contribution DLO is applied to both soil and masonry problems before being applied to a number of representative masonry arch bridge problems.

Keywords

Masonry arch bridges Limit analysis Masonry Discontinuity layout optimization Rigid block analysis 

Notes

Acknowledgements

The financial support of Network Rail is gratefully acknowledged. The authors also acknowledge the contributions of Maxime Gueguin, who programmed the homogenized masonry model described herein.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Matthew Gilbert
    • 1
    Email author
  • John Valentino
    • 1
  • Colin Smith
    • 1
  • Tom Pritchard
    • 2
  1. 1.Department of Civil and Structural EngineeringUniversity of SheffieldSheffieldUK
  2. 2.LimitState Ltd.SheffieldUK

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