Abstract
Regarding the investigation of previous earthquake records and a large number of casualties in unreinforced masonry structures, the necessity and importance of finding applicable methods and evaluating the vulnerability of this category of structures is felt more than before. In this article, at first, 191 unreinforced masonry specimens under cyclic lateral load and constant vertical load are extracted from multiple articles. Then, the amount of drift is extracted in four different damage states, and the fragility curve is plotted for four different failure modes (rocking, toe crushing, bed joint sliding, diagonal tension) and four different damage states; In these plots, it can be seen that for the three damage states 2, 3 and 4 with the same failure probability, rocking, toe crushing, bed joint sliding, and diagonal tension state have higher displacement, respectively. To investigate the effect of the wall's support conditions on the fragility curve for different failure modes, the fragility curves are plotted in two cases: the cantilever boundary condition and the double fixed boundary condition. At last, the method used for extracting the fragility functions is explained.
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References
Abo El Ezz A, Nollet M-J (2013) Seismic fragility assessment of low-rise stone masonry buildings. Earthq Eng Eng Vib. https://doi.org/10.1007/s11803-013-0154-4
Abrams DP, Shah N (1992) Cyclic load testing of unreinforced masonry walls. Illinois Univ at Urbana Advanced Construction Technology Center, Urbana
Anthoine A, Magonette G, Magenes G (1995) Shear-compression testing and analysis of brick masonry walls. In: Proceedings of the 10th European conference on earthquake engineering, vol. 3, pp 1657–1662
Araya-Letelier G, Calderón S, Sandoval C, Sanhueza M, Murcia-Delso J (2019) Fragility functions for partially-grouted masonry shear walls with bed-joint reinforcement. Eng Struct 191:206–218. https://doi.org/10.1016/j.engstruct.2019.03.114
ASCE (2014) Seismic evaluation and retrofit of existing buildings. American Society of Civil Engineers, Reston
Bosiljkov V, Page A, Bokan-Bosiljkov V, Zarnic R (2003) Performance based studies of in-plane loaded unreinforced masonry walls. Masonry Int 16(2):39–50
Bosiljkov V, Tomazevic M, Lutman M (2006) Optimization of shape of masonry units and technology of construction for earthquake resistant masonry buildigs: research report-part three. ZAG Ljubljana, Slovenia
Cardone D, Perrone G (2015) Developing fragility curves and loss functions for masonry infill walls. Earthq Struct 9:257–279. https://doi.org/10.12989/eas.2015.9.1.257
Chiozzi A, Miranda E (2017) Fragility functions for masonry infill walls with in-plane loading. Earthquake Eng Struct Dynam 46(15):2831–2850
Churilov S, Dumova-Jovanoska E (2013) In-plane shear behaviour of unreinforced and jacketed brick masonry walls. Soil Dyn Earthq Eng 50:85–105
Costa A (2007) Experimental testing of lateral capacity of masonry piers. An application to seismic assessment of AAC masonry buildings. Universitat Degli Studi Di Pavia, Pavia
Costa AA, Penna A, Magenes G (2011) Seismic performance of autoclaved aerated concrete (AAC) masonry: from experimental testing of the in-plane capacity of walls to building response simulation. J Earthquake Eng 15(1):1–31
Darbhanzi A, Marefat MS, Khanmohammadi M (2014) Investigation of in-plane seismic retrofit of unreinforced masonry walls by means of vertical steel ties. Constr Build Mater 52:122–129
Deng M, Yang S (2018) Cyclic testing of unreinforced masonry walls retrofitted with engineered cementitious composites. Constr Build Mater 177:395–408
Erbay OO, Abrams DP (2001) Seismic rehabilitation of unreinforced masonry shear walls. In: Proceedings of 9 th Canadian Masonry Symposium
Fehling E, Stuerz J, Emami A (2007) Test results on the behaviour of masonry under static (monotonic and cyclic) in plane lateral loads. ESECMaSE Deliverable D 7
FEMA, FEMA P-58-1 (2012) Seismic performance assessment of buildings. Volume 1–methodology, Federal Emergency Management Agency Washington, DC
Frumento S, Magenes G, Morandi P, Calvi GM (2009) Interpretation of experimental shear tests on clay brick masonry walls and evaluation of q-factors for seismic design. Iuss Press, Pavia
Graziotti F, Tomassetti U, Rossi A, Marchesi B, Kallioras S, Mandirola M, Fragomeli A, Mellia E, Peloso S, Cuppari F (2016) Shaking table tests on a full-scale clay-brick masonry house representative of the Groningen building stock and related characterization tests. Report no. EUC128 U 2016
Graziotti F, Rossi A, Mandirola M, Penna A, Magenes G (2016) Experimental characterization of calcium-silicate brick masonry for seismic assessment. In: brick and block masonry: trends, innovations and challenges—proceedings of the 16th international brick and block masonry conference, IBMAC 1619–1628
Lee J-H, Li C, Oh S-H, Yang W-J, Yi W-H (2008) Evaluation of rocking and toe crushing failure of unreinforced masonry walls. Adv Struct Eng 11(5):475–489
Magenes G and GM Calvi (1992) Cyclic behaviour ofbrick masonry walls. In: Proceedings of the 10th world conference on earthquake engineering, pp 3517–3522
Magenes G, Morandi P, Penna A, Ferrata V (2008) D 7.1 c test results on the behaviour of masonry under static cyclic in plane lateral loads. ESECMaSE, Padua
Manzouri T, Schuller MP, Shing PB, Amadei B (1996) Repair and retrofit of unreinforced masonry structures. Earthq Spectra 12(4):903–922
Massey FJ (1951) The Kolmogorov–Smirnov test for goodness of fit. J Am Stat Assoc 46(253):68–78. https://doi.org/10.1080/01621459.1951.10500769
Messali F, Ravenshorst G, Esposito R, Rots JG (2017) Large-scale testing program for the seismic characterization of Dutch masonry walls. In Proceedings of 16th world conference on earthquake (WCEE), Santiago, Chile
Modena C, Da Porto F, Garbin E, Grendene M, Mosele F (2005) Ricerca sperimentale sul comportamento di sistemi per muratura portante in zona sismica. Draft 2005:1
Monti G, Alessandri S, Santini S (2009) Design by testing: a procedure for the statistical determination of capacity models. Constr Build Mater 23(4):1487–1494. https://doi.org/10.1016/j.conbuildmat.2008.07.016
Morandi P, Albanesi L, Magenes G (2013) In-plane experimental response of masonry walls with thin shell and web clay units. In: Proceedings of Vienna Congress on Recent Advances in Earthquake Engineering and Structural Dynamics, Wein, Austria, pp 28–30
Morandi P, Albanesi L, Magenes G (2014) URM walls with thin shell/web clay units and unfilled head-joints: cyclic in-plane tests. In: Proceedings of the 2nd European Conference on Earthquake Engineering and Seismology, Instanbul, Turkey, pp 25–29
Morandi P, Albanesi L, Magenes G (2015) Prestazioni sismiche di pannelli murari in blocchi di laterizio a setti sottili soggetti a test ciclici nel piano. In: Atti Del XVI Convegno ANIDIS-L’ingegneria Sismica in Italia, pp 13–17
Ötes A, Löring S (2003) Tastversuche zur Identifizierung des Verhaltensfaktors von Mauerwerksbauten für den Erdbebennachweis. Lehrstuhl Für Tragkonstruktionen, Universität Dortmund, Abschlussbericht
Penna A, Mandirola M, Rota M, Magenes G (2015) Experimental assessment of the in-plane lateral capacity of autoclaved aerated concrete (AAC) masonry walls with flat-truss bed-joint reinforcement. Constr Build Mater 82:155–166
Petry S, Beyer K (2014) Influence of boundary conditions and size effect on the drift capacity of URM walls. Eng Struct 65:76–88
Rosti A, Penna A, Rota M, Magenes G (2016) In-plane cyclic response of low-density AAC URM walls. Mater Struct 49(11):4785–4798
Ruiz-Garcia J, Negrete M (2009) Drift-based fragility assessment of confined masonry walls in seismic zones. Eng Struct 31:170–181. https://doi.org/10.1016/j.engstruct.2008.08.010
Salmanpour AH, Mojsilović N, Schwartz J (2015) Displacement capacity of contemporary unreinforced masonry walls: an experimental study. Eng Struct 89:1–16
Snoj J, Dolsek M (2017) Fragility functions for unreinforced masonry walls made from hollow clay units. Eng Struct 145:293–304. https://doi.org/10.1016/j.engstruct.2017.05.001
Srivastava AK, Kumar G, Gupta P (2020) Estimating maintenance budget using Monte Carlo simulation. Life Cycle Reliab Saf Eng 9(1):77–89
Tosun H, Tosun TV, Hariri-Ardebili MA (2020) Total risk and seismic hazard analysis of large embankment dams: case study of Northwest Anatolia, Turkey. Life Cycle Reliab Saf Eng 9:1–10
Yi W-H, S-H Oh, and J-H Lee (2004) Shear capacity assessment of unreinforced masonry wall. In: 13th World Conference on Earthquake Engineering, pp 1–12
Zekavati AA, Jafari MA, Mahmoudi A (2021) Regional seismic risk assessment method for electric power substations: a case study. Life Cycle Reliab Saf Eng 11:105–115
Zilch K, Finckh W, Grabowski S, Schermer D, Scheufler W (2008) Test results on the behaviour of masonry under static (monotonicand cyclic) in plane lateral loads. Technical Report of the collective research project ESECMaSE, European Commission, Reseach Directorate-General
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Ghaderi, S., Kassaeian, S. & Negahdar, O. Fragility functions for unreinforced masonry walls subjected to cyclic lateral and constant vertical loading. Life Cycle Reliab Saf Eng 11, 337–354 (2022). https://doi.org/10.1007/s41872-022-00208-0
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DOI: https://doi.org/10.1007/s41872-022-00208-0