Abstract
In this paper the topic of the vulnerability assessment of masonry arches on moving supports is analyzed. A novel numerical procedure for detecting the collapse mechanism and computing the limit support movement was developed by the authors and herein applied to the case of pointed arches, on which few studies are available in the literature. The proposed procedure is conceived as an algorithm that identifies the set of three hinges that could open in the arch due to an infinitesimal support movement, exploiting the laws of combinatorial analysis. Then, in order to identify the solution, the unique three hinge pattern by which the structure is balanced and congruent, a kinematic and an equilibrium test were carried out on the arch. The limit value of the support movement is successively computed by a step by step procedure that increases the support movement, draws the modified configuration of the arch and computes the line of thrust passing through the three hinges. When the line of thrust becomes tangent to the extrados or intrados of the arch in further joints, the collapse mechanism is detected together with the limit value of the support movement. This procedure represents a progress of the state of the art since it avoids the use of optimization techniques required in limit analysis, with a consequent reduction of the algorithm complexity. Furthermore, in-scale pointed arch models are performed by the authors and tested subject to a horizontal movement of the left impost. Numerical models of such arches are analyzed using the procedure above and results are compared to the experimental outcomes. Finally, to investigate the effects of the arch geometry, the numerical results of pointed arches are compared to the results of circular arches with same span, thickness and angle of embrace.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zampieri, P., Zanini, M.A., Faleschini, F., Hofer, L., Pellegrino, C.: Failure analysis of masonry arch bridges subject to local pier scour. Eng. Fail. Anal. 79, 371–384 (2017)
Invernizzi, S., Lacidogna, G., Manuello, A., Carpinteri, A.: AE monitoring and numerical simulation of a two-span model masonry arch bridge subjected to pier scour. Strain 47(Suppl. 2), 158–169 (2011)
Pippard, A.J.S., Ashby, R.: An experimental study of the voussoir arch. J. Inst. Civ. Eng. 10(3), 383–404 (1939)
Ochsendorf, J.: The masonry arch on spreading supports. Struct. Eng. 84(2), 29–34 (2006)
Romano, A., Ochsendorf, J.A.: The mechanics of gothic masonry arches. Int. J. Arch. Herit. 4(1), 59–82 (2010)
Como, M.: On the role played by settlements in the statics of masonry structures. In: The Conference on Geotechnical Engineering for the Preservation of Monuments and Historic Sites, Napoli, Italy, 3–4 October 1996. Balkema, Rotterdam (1996)
Como, M., Sinopoli, A.: Minimum and maximum thrust states in statics of ancient masonry bridges. In: Sinopoli, A. (ed.) 2nd International Conference Arch Bridges, Venice, Italy, pp. 133–138 (1998)
Cavalagli, N., Gusella, V., Severini, L.: Limit analysis in large displacements of masonry arches subjected to vertical and horizontal loads. In: 9th International Conference on Structural Analysis of Historical Constructions (SAHC 2014), Mexico City, 14–17 October 2014, pp. 1–13 (2014)
Coccia, S., Di Carlo, F., Rinaldi, Z.: Collapse displacements for a mechanism of spreading-induced supports in a masonry arch. Int. J. Adv. Struct. Eng. 7(3), 307–320 (2015)
Di Carlo, F., Coccia, S., Rinaldi, Z.: Collapse load of a masonry arch after actual displacements of the supports. Arch. Appl. Mech. 88(9), 1545–1558 (2018)
Zampieri, P., Faleschini, F., Zanini, M.A., Simoncello, N.: Collapse mechanisms of masonry arches with settled springing. Eng. Struct. 156, 363–374 (2018)
Zampieri, P., Amoroso, M., Pellegrino, C.: The masonry buttressed arch on spreading support. Structures 20, 226–236 (2019)
Zampieri, P., Cavalagli, N., Gusella, V., Pellegrino, C.: Collapse displacements of masonry arch with geometrical uncertainties on spreading supports. Comput. Struct. 208, 118–129 (2018)
Portioli, F., Cascini, L.: Large displacement analysis of dry-jointed masonry structures subjected to settlements using rigid block modelling. Eng. Struct. 148, 485–496 (2017)
Portioli, F., Cascini, L., Gagliardo, R., Landolfo, R.: Evaluation of collapse displacements in dry-jointed masonry structures subjected to settlements: experimental tests and rigid block modelling. In: 10th International Masonry Conference (10thIMC), Milan, Italy, 9–11 July 2018 (2018)
Portioli, F., Cascini, L.: Assessment of masonry structures subjected to foundation settlements using rigid block limit analysis. Eng. Struct. 113, 347–361 (2016)
Cascini, L., Gagliardo, R., Portioli, F.: LiABlock_3D: a software tool for collapse mechanism analysis of historic masonry structures. Int. J. Arch. Herit. 14(1), 75–94 (2018)
Iannuzzo, A., Angelillo, M., De Chiara, E., De Guglielmo, F., De Serio, F., Ribera, F., Gesualdo, A.: Modelling the cracks produced by settlements in masonry structures. Meccanica 53, 1857–1873 (2018)
Cannizzaro, F., Pantò, B., Caddemi, S., Caliò, I.: A discrete macro-element method (DMEM) for the nonlinear structural assessment of masonry arches. Eng. Struct. 168, 243–256 (2018)
Galassi, S., Misseri, G., Rovero, L., Tempesta, G.: Failure modes prediction of masonry voussoir arches on moving supports. Eng. Struct. 173, 706–717 (2018)
Misseri, G., Rovero, L.: Parametric investigation on the dynamic behaviour of masonry pointed arches. Arch. Appl. Mech. 87(3), 385–404 (2017)
Misseri, G., DeJong, M.J., Rovero, L.: Experimental and numerical investigation of the collapse of pointed masonry arches under quasi-static horizontal loading. Eng. Struct. 173, 180–190 (2018)
Boostani, A., Fratini, F., Misseri, G., Rovero, L., Tonietti, U.: A masterpiece of early islamic architecture: the Noh-Gonbad Mosque in Balkh, Afghanistan. J. Cult. Herit. 32, 248–256 (2018)
Aita, D., Barsotti, R., Bennati, S.: Equilibrium of pointed, circular, and elliptical masonry arches bearing vertical walls. J. Struct. Eng. 138(7), 880–888 (2011)
Heyman, J.: The safety of masonry arches. Int. J. Mech. Sci. 11(4), 363–385 (1969)
Tempesta, G., Galassi, S.: Safety evaluation of masonry arches. A numerical procedure based on the thrust line closest to the geometrical axis. Int. J. Mech. Sci. 155, 206–221 (2019)
Galassi, S., Tempesta, G.: The Matlab code of the method based on the Full Range Factor for assessing the safety of masonry arches. MethodsX 6, 1521–1542 (2019)
Acknowledgements
The authors wish to thank Mr. Aldo Regoli for his essential support in setting up the test apparatus and in carrying out the numerous test repetitions at the Official Material and Structural Testing Laboratory of the Architecture Dept. of the University of Florence.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
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) Proceedings of XXIV AIMETA Conference 2019. AIMETA 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-41057-5_163
Download citation
DOI: https://doi.org/10.1007/978-3-030-41057-5_163
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-41056-8
Online ISBN: 978-3-030-41057-5
eBook Packages: EngineeringEngineering (R0)