Abstract
The paper deals with masonry arches on vertically moving supports due to soil settlements. An innovative numerical procedure to estimate the collapse mechanism and the limit settlement is proposed, exploiting rigid block analysis of masonry arches in large displacements. The numerical procedure was applied to a case study that models, in a simplified way, multi-span masonry bridges subject to a vertical settlement of a support in addition to gravitational and moving loads. Referring to literature data, a representative arch-pier system, extracted from a multi-span bridge, is analyzed. The numerical procedure matches the laws of combinatorial analysis with static and kinematic analysis to identify the position of the three hinges induced by the settlement. In detail, the procedure: (1) determines the initial three hinges that occur as a support starts moving; (2) checks the admissible equilibrium as the settlement increases; (3) identifies the possible new position of the hinges when a limit settlement is reached; (4) computes the collapse settlement in the new configuration and the collapse mechanism. For dead loads, results of the reference case study show that the load of the fill drives the hinge pattern, which is different from that of the arch which is subject only to its self-weight. A travelling point load further affects the hinge pattern when it reaches high values. The most dangerous position of the point load is one-third of the span.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Brencich A, Morbiducci R (2007) Masonry arches: historical rules and modern mechanics. Archit Herit 1:165–189. https://doi.org/10.1080/15583050701312926
Bayraktar A, Hökelekli E (2020) Nonlinear soil deformability effects on the seismic damage mechanisms of brick and stone masonry arch bridges. Int J Damage Mech 30(3):431–452. https://doi.org/10.1177/1056789520974423
Gagliardo R, Portioli F, Cascini L, Landolfo R, Lourenco P (2021) A rigid block model with no-tension elastic contacts for displacement-based assessment of historic masonry structures subjected to settlements. Eng Struct 229:111609. https://doi.org/10.1016/j.engstruct.2020.111609
Gagliardo R, Terracino G, Cascini L, Portioli F, Landolfo R (2020) The prediction of collapse mechanisms for masonry structures affected by ground movements using Rigid Block Limit Analysis. In: Procedia structural integrity, international conference art collections 2020, safety issue (ARCO 2020, SAFETY), vol 29. Springer, Florence, pp 48–54. https://doi.org/10.1016/j.prostr.2020.11.138
Brencich A, De Francesco U (2004) Assessment of multispan masonry arch bridges. I: simplified approach. J Bridge Eng. 9(6):582–590. https://doi.org/10.1061/(ASCE)1084-0702(2004)9:6(582)
Melbourne C, Gilbert M (1995) The behaviour of multi-ring brickwork arch bridges. Struct Eng 73(3):39–47
Milani G, Lourenço PB (2012) 3D non-linear behavior of masonry arch bridges. Comput Struct 110–111:133–150. https://doi.org/10.1016/j.compstruc.2012.07.008
Galassi S, Misseri G, Rovero L, Tempesta G (2018) Failure modes prediction of masonry voussoir arches on moving supports. Eng Struct 173:706–717. https://doi.org/10.1016/J.ENGSTRUCT.2018.07.015
Galassi S, Misseri G, Rovero L, Tempesta G (2020) Analysis of masonry pointed arches on moving supports: a numeric predictive model and experimental evaluations. In: Carcaterra A, Paolone A, Graziani G (eds) AIMETA 2019. LNME. Springer, Cham, pp 2048–2068. https://doi.org/10.1007/978-3-030-41057-5_163
Zampieri P, Amoroso M, Pellegrino C (2019) The masonry buttressed arch on spreading support. Structures 20:226–236. https://doi.org/10.1016/j.istruc.2019.03.008
Zampieri P, Zanini MA, Faleschini F, Hofer L, Pellegrino C Failure analysis of masonry arch bridges subject to local pier scour. Eng Fail Anal 79:371–384. https://doi.org/10.1016/j.engfailanal.2017.05.028
Ochsendorf J (2006) Masonry arch on spreading supports. Struct Eng 84(2):29–34
Como M (1996) On the role played by settlements in the statics of masonry structures. In: Proceedings of the international symposium on geotechnical engineering for the preservation of monuments and historic sites. Balkema, Rotterdam, pp 3–4. https://doi.org/10.1007/978-3-642-30132-2_4
Pippard AJS, Ashby R (1939) An experimental study of the voussoir arch. J Inst Civ Eng 10(3):383–404. https://doi.org/10.1680/ijoti.1939.14554
Da Porto F, Tecchio G, Zampieri P, Modena C, Prota A (2016) Simplified seismic assessment of railway masonry arch bridges by limit analysis. Struct Infrastruct Eng 12(5):567–591. https://doi.org/10.1080/15732479.2015.1031141
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Galassi, S., Misseri, G., Rovero, L. (2022). Rigid-Block Analysis in Large Displacements of Masonry Arches on Vertically Moving Supports. In: Pellegrino, C., Faleschini, F., Zanini, M.A., Matos, J.C., Casas, J.R., Strauss, A. (eds) Proceedings of the 1st Conference of the European Association on Quality Control of Bridges and Structures. EUROSTRUCT 2021. Lecture Notes in Civil Engineering, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-030-91877-4_123
Download citation
DOI: https://doi.org/10.1007/978-3-030-91877-4_123
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-91876-7
Online ISBN: 978-3-030-91877-4
eBook Packages: EngineeringEngineering (R0)