Abstract
Masonry arch bridges continue to form a vital part of the transport networks of the UK and other countries around the world, where most masonry arch bridges have typically been in service for well over 100 years. To verify that they can safely carry modern traffic they need to be regularly assessed; however, assessment is not always straightforward, due to the wide range of geometrical configurations encountered and the many variables that influence structural behaviour. Specifically, whereas research in recent years has predominantly focused on the behaviour of arch bridges containing soil backfill, much less attention has been paid to bridges containing internal spandrel walls, which have different performance characteristics. In the present study the discontinuity layout optimization (DLO) numerical limit analysis technique is applied to bridges incorporating internal and/or external spandrel walls. DLO is an upper bound method capable of modelling both soil and masonry elements, enabling comparisons to be drawn between the behaviour of bridges containing soil fill and internal spandrels. After first validating numerical results against laboratory masonry arch bridge tests, the method is applied to a field bridge containing internal spandrel walls.
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References
Gilbert, M., Melbourne, C.: Rigid-block analysis of masonry structures. Struct. Eng. 72(21), 356–361 (1994)
Gilbert, M., Casapulla, C., Ahmed, H.M.: Limit analysis of masonry block structures with non-associative frictional joints using linear programming. Comput. Struct. 82, 873–887 (2006)
Gilbert, M., Smith, C.C., Pritchard, T.J.: Masonry arch analysis using discontinuity layout optimization. Proc. Inst. Civil Eng. Eng. Comput. Mech. 163, 155–166 (2010)
Harvey, W.J.: The application of the mechanism method to masonry arch bridges. Struct. Eng. 66(5), 77–84 (1988)
Hawksbee, S., Smith, C.C., Gilbert M.: Application of discontinuity layout optimization to three-dimensional plasticity problems. Proc. Roy. Soc. Math. Phys. Eng. Sci. 469(2155), 20130009 (2013)
Hendry, A.W., Davies, S.R., Royles, R.: Test on stone masonry arch at Bridgemill-Girvan. Transport and Road Research Laboratory, Department of Transport, Contractor report 7 (1985)
Heyman, J.: The Masonry Arch. Ellis Horwood Limited, Chichester (1982)
Jee, A.S.: Description of the dinting vale viaduct, on the line of the sheffield and Manchester railway. Minutes Proc. Inst. Civil Eng. 5, 216–219 (1846)
Livesley, R.K.: Limit analysis of structures formed from rigid blocks. Int. J. Numer. Meth. Eng. 12, 1853–1871 (1978)
McKibbins, L., Melbourne, C., Sawar, N., Sicilia Gaillard, C.: Masonry arch bridges: condition appraisal and remedial treatment, CIRIA (2006)
Melbourne, C., Gilbert, M.: The behaviour of multi-ring brickwork arch bridges. Struct. Eng. 73(3), 39–47 (1995)
Melbourne, C., Gilbert, M., Wagstaff, M.: The collapse behaviour of multispan brickwork arch bridges. Struct. Eng. 75(17), 297–305 (1997)
Page, J.: Masonry Arch Bridges – State-of-the-Art Review. HM Stationery Office, London (1993)
Royles, R., Hendry, A.W.: Model tests on masonry arches. Proc. Inst. Civ. Eng. 91, 299–321 (1991)
Ruddock, E.C.: Hollow spandrels in arch bridges: a historical study. Struct. Eng. 52(8), 281–293 (1974)
Sloan, S.: Lower bound limit analysis using finite elements and linear programming. Int. J. Numer. Anal. Methods Geomech. 12, 61–77 (1988)
Smith, C.C., Gilbert, M.: Application of discontinuity layout optimization to plane plasticity problems. Proc. Roy. Soc. Math. Phys. Eng. Sci. 463(2086), 2461–2484 (2007)
Wang J., Haynes J., Melbourne C.: A comparison between the MEXE and Pippard’s methods of assessing the load carrying capacity of masonry arch bridges. In: 7th International Conference on Arch Bridges ARCH 2013, 2–4 October, Trogir, Split, Croatia (2013)
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The financial support of Network Rail and EPSRC is gratefully acknowledged.
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Amodio, S., Gilbert, M., Smith, C. (2020). Modelling Masonry Arch Bridges Containing Internal Spandrel Walls. In: Arêde, A., Costa, C. (eds) Proceedings of ARCH 2019. ARCH 2019. Structural Integrity, vol 11. Springer, Cham. https://doi.org/10.1007/978-3-030-29227-0_32
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