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Erschienen in: Archive of Applied Mechanics 9/2018

05.05.2018 | Original

Collapse load of a masonry arch after actual displacements of the supports

verfasst von: Fabio Di Carlo, Simona Coccia, Zila Rinaldi

Erschienen in: Archive of Applied Mechanics | Ausgabe 9/2018

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Abstract

In this work, the collapse load of a masonry arch subjected to an actual horizontal displacement of the supports is assessed, in the deformed configuration of the structure, by means of limit analysis theory. Masonry is modelled as a rigid in compression, no-tension material and avoiding the occurrence of sliding failures. A numerical tool, based on the approach of the kinematical theorem of the collapse state, is proposed for the collapse computation of circular arches subjected to dead loads and to incremental concentrated load applied at their crown. A parametric study has been carried out in order to develop a deeper understanding of the influence of the involved parameters. It is shown that the existence of a kinematically admissible collapse mechanism is correlated to a thickness/mean radius ratio dependent on the value of the actual horizontal displacement of the supports. In the paper, a relationship between these two last parameters is proposed.

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Literatur
1.
Zurück zum Zitat Ochsendorf, J.A.: Collapse of masonry structures. Dissertation, Department of Engineering, Cambridge University, Cambridge (2002) Ochsendorf, J.A.: Collapse of masonry structures. Dissertation, Department of Engineering, Cambridge University, Cambridge (2002)
2.
Zurück zum Zitat Coccia, S., Como, M., Di Carlo, F.: In-plane strength under seismic forces of multi-storey masonry walls reinforced by steel ties. In: Brick and Block Masonry: Trends, Innovations and Challenges—Proceedings of the 16th International Brick and Block Masonry Conference, IBMAC 2016, pp. 145–154. ISBN: 978-113802999-6 (2016) Coccia, S., Como, M., Di Carlo, F.: In-plane strength under seismic forces of multi-storey masonry walls reinforced by steel ties. In: Brick and Block Masonry: Trends, Innovations and Challenges—Proceedings of the 16th International Brick and Block Masonry Conference, IBMAC 2016, pp. 145–154. ISBN: 978-113802999-6 (2016)
3.
Zurück zum Zitat Coccia, S., Di Carlo, F., Forino, G.: Strength of cracked masonry buttresses under horizontal loads. In: Brick and Block Masonry: Trends, Innovations and Challenges—Proceedings of the 16th International Brick and Block Masonry Conference, IBMAC 2016, pp. 155–164. ISBN: 978-113802999-6 (2016) Coccia, S., Di Carlo, F., Forino, G.: Strength of cracked masonry buttresses under horizontal loads. In: Brick and Block Masonry: Trends, Innovations and Challenges—Proceedings of the 16th International Brick and Block Masonry Conference, IBMAC 2016, pp. 155–164. ISBN: 978-113802999-6 (2016)
7.
Zurück zum Zitat Como, M., Coccia, S., Di Carlo, F.: Collapse state of multi-storey masonry walls reinforced by steel ties subjected to in-plane horizontal loads. Key Eng. Mater. 747, 686–693 (2017)CrossRef Como, M., Coccia, S., Di Carlo, F.: Collapse state of multi-storey masonry walls reinforced by steel ties subjected to in-plane horizontal loads. Key Eng. Mater. 747, 686–693 (2017)CrossRef
11.
Zurück zum Zitat Piedigrossi, M., Coccia, S., Di Carlo, F.: Rocking mechanism of masonry portals with circular arches. Key Eng. Mater. 747, 28–35 (2017)CrossRef Piedigrossi, M., Coccia, S., Di Carlo, F.: Rocking mechanism of masonry portals with circular arches. Key Eng. Mater. 747, 28–35 (2017)CrossRef
13.
Zurück zum Zitat Coccia, S., Di Carlo, F., Imperatore, S.: Strength reduction factor for out-of-plane failure mechanisms of masonry walls. In: Brick and Block Masonry: Trends, Innovations and Challenges—Proceedings of the 16th International Brick and Block Masonry Conference, IBMAC 2016, pp. 137–144. ISBN: 978-113802999-6 (2016) Coccia, S., Di Carlo, F., Imperatore, S.: Strength reduction factor for out-of-plane failure mechanisms of masonry walls. In: Brick and Block Masonry: Trends, Innovations and Challenges—Proceedings of the 16th International Brick and Block Masonry Conference, IBMAC 2016, pp. 137–144. ISBN: 978-113802999-6 (2016)
14.
Zurück zum Zitat Di Carlo, F., Coccia, S., Como, M.: Rocking in presence of cracking of masonry wall piers. Key Eng. Mater. 747, 686–693 (2017)CrossRef Di Carlo, F., Coccia, S., Como, M.: Rocking in presence of cracking of masonry wall piers. Key Eng. Mater. 747, 686–693 (2017)CrossRef
15.
Zurück zum Zitat Di Carlo, F., Coccia, S., Piedigrossi, M.: Dynamics of masonry pointed arches under base motion. Int. J. Mason. Res. Innov. 2(4), 335–354 (2017)CrossRef Di Carlo, F., Coccia, S., Piedigrossi, M.: Dynamics of masonry pointed arches under base motion. Int. J. Mason. Res. Innov. 2(4), 335–354 (2017)CrossRef
16.
Zurück zum Zitat Como, M., Di Carlo, F.: Rocking of cracked masonry walls under constant impulse acceleration. In: AIMETA 2017 XXIII Conference, Salerno, Italy, 4–7 September 2017, pp. 1379–1401 (2017) Como, M., Di Carlo, F.: Rocking of cracked masonry walls under constant impulse acceleration. In: AIMETA 2017 XXIII Conference, Salerno, Italy, 4–7 September 2017, pp. 1379–1401 (2017)
17.
Zurück zum Zitat Melbourne, C., Gilbert, M.: The behaviour of multiring brickwork arch bridges. Struct. Eng. 73(3), 39–47 (1995) Melbourne, C., Gilbert, M.: The behaviour of multiring brickwork arch bridges. Struct. Eng. 73(3), 39–47 (1995)
18.
Zurück zum Zitat Baggio, C., Trovalusci, P.: Collapse behaviour of three-dimensional brick-block systems using non-linear programming. Struct. Eng. Mech. 10(2), 181–195 (2000)CrossRef Baggio, C., Trovalusci, P.: Collapse behaviour of three-dimensional brick-block systems using non-linear programming. Struct. Eng. Mech. 10(2), 181–195 (2000)CrossRef
19.
Zurück zum Zitat Trovalusci, P., Baggio, C.: An optimisation algorithm for the collapse detection of block structures with no-tension and frictional constraints. In: EUROMECH Colloquium, vol. 442, pp. 51–52 (2003) Trovalusci, P., Baggio, C.: An optimisation algorithm for the collapse detection of block structures with no-tension and frictional constraints. In: EUROMECH Colloquium, vol. 442, pp. 51–52 (2003)
20.
Zurück zum Zitat Orduña, A., Lourenço, P.B.: Three-dimensional limit analysis of rigid blocks assemblages. Part I: torsion failure on frictional interfaces and limit analysis formulation. Int. J. Solids Struct. 42(18), 5140–5160 (2005)CrossRefMATH Orduña, A., Lourenço, P.B.: Three-dimensional limit analysis of rigid blocks assemblages. Part I: torsion failure on frictional interfaces and limit analysis formulation. Int. J. Solids Struct. 42(18), 5140–5160 (2005)CrossRefMATH
21.
Zurück zum Zitat Gilbert, M., Casapulla, C., Ahmed, H.M.: Limit analysis of masonry block structures with non-associative frictional joints using linear programming. Comput. Struct. 84(13), 873–887 (2006)CrossRef Gilbert, M., Casapulla, C., Ahmed, H.M.: Limit analysis of masonry block structures with non-associative frictional joints using linear programming. Comput. Struct. 84(13), 873–887 (2006)CrossRef
25.
Zurück zum Zitat Baggio, C., Trovalusci, P.: 3D limit analysis of roman groin vaults. In: Brick and Block Masonry: Trends, Innovations and Challenges—Proceedings of the 16th International Brick and Block Masonry Conference, IBMAC 2016, pp. 1023–1028. ISBN: 978-113802999-6 (2016) Baggio, C., Trovalusci, P.: 3D limit analysis of roman groin vaults. In: Brick and Block Masonry: Trends, Innovations and Challenges—Proceedings of the 16th International Brick and Block Masonry Conference, IBMAC 2016, pp. 1023–1028. ISBN: 978-113802999-6 (2016)
30.
Zurück zum Zitat Smars, P.: Etudes sur la stabilité des arcs et voûtes, confrontation des méthodes de l’analyse limite aux voûtes gothiques du Brabant. Dissertation, Catholic University in Leuven, Belgium (2000) Smars, P.: Etudes sur la stabilité des arcs et voûtes, confrontation des méthodes de l’analyse limite aux voûtes gothiques du Brabant. Dissertation, Catholic University in Leuven, Belgium (2000)
31.
Zurück zum Zitat Ochsendorf, J.A.: The masonry arch on spreading supports. Struct. Eng. 84(2), 29–35 (2006)MathSciNet Ochsendorf, J.A.: The masonry arch on spreading supports. Struct. Eng. 84(2), 29–35 (2006)MathSciNet
37.
Zurück zum Zitat Huerta, S.: Mechanics of masonry vaults: the equilibrium approach. In: Lourenço, P.B., Roca, P. (eds.) Historical Constructions, pp. 47–69. University of Minho, Guimaraes (2001) Huerta, S.: Mechanics of masonry vaults: the equilibrium approach. In: Lourenço, P.B., Roca, P. (eds.) Historical Constructions, pp. 47–69. University of Minho, Guimaraes (2001)
39.
Zurück zum Zitat Tomasoni, E.: Le Volte in Muratura Negli Edifici Storici: Tecniche Costruttive e Comportamento Strutturale. Ph.D. Dissertation, Università degli Studi di Trento (2008) Tomasoni, E.: Le Volte in Muratura Negli Edifici Storici: Tecniche Costruttive e Comportamento Strutturale. Ph.D. Dissertation, Università degli Studi di Trento (2008)
41.
Zurück zum Zitat Lo Bianco, M., Mazzarella, C.: Limit load of masonry structures. IABSE reports, pp. 187–194 (1983) Lo Bianco, M., Mazzarella, C.: Limit load of masonry structures. IABSE reports, pp. 187–194 (1983)
42.
Zurück zum Zitat Como, M.: Minimum and maximum thrust states in statics of ancient masonry bridges. In: Arch Bridges: History, Analysis, Assessment, Maintenance and Repair, pp. 133–138 (1998) Como, M.: Minimum and maximum thrust states in statics of ancient masonry bridges. In: Arch Bridges: History, Analysis, Assessment, Maintenance and Repair, pp. 133–138 (1998)
Metadaten
Titel
Collapse load of a masonry arch after actual displacements of the supports
verfasst von
Fabio Di Carlo
Simona Coccia
Zila Rinaldi
Publikationsdatum
05.05.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 9/2018
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-018-1386-6

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