Development of Fragility Curves for Brick Infill Walls in Steel Frame Structures

Document Type : Regular Paper


Faculty of Civil Engineering, Semnan University


Brick infill walls are one of the most common types of nonstructural elements used for exterior enclosures as well as interior partitions in steel frame buildings. The recent earthquakes have shown that damage to masonry infill walls may cause danger for human lives and dramatically affects economic losses. The damage estimation of masonry infill walls and the effects within the corresponding consequences of the performance-based earthquake engineering need fragility functions. The procedure implemented in this study is based on incremental dynamic analyses of two models, i.e. with and without brick infill walls. The primary objective is to develop fragility curves that permit the estimation of damage in masonry infill walls. Comparative analyses were conducted among the models considering four damage levels. The increase in the height has reduced the probability of damage to infill walls, so there was slight damage in drifts less than 3%. Therefore, with increases in stiffness, the probability of damages to the infill walls will increase. The fragility curves obtained by HAZUS show that there is a negligible variation in the infill walls seismic fragility estimated by the number of bays.


Main Subjects

[1]     ATC, “Quantification of building seismic performance factors,” Fema P695, no. June, p. 421, 2009.
[2]     Hazus, “Hazus–MH 2.1: Technical Manual,” Fed. Emerg. Manag. Agency, p. 718, 2012, [Online]. Available:
[3]     P. Negro and A. Colombo, “Irregularities induced by nonstructural masonry panels in framed buildings,” Eng. Struct., vol. 19, no. 7, pp. 576–585, 1997, doi: 10.1016/S0141-0296(96)00115-0.
[4]     M. N. Fardis and T. B. Panagiotakos, “Seismic design and response of bare and masonry-infilled reinforced concrete buildings. Part II: Infilled structures,” J. Earthq. Eng., vol. 1, no. 3, pp. 475–503, 1997, doi: 10.1080/13632469708962375.
[5]     M. Dolšek and P. Fajfar, “Soft storey effects in uniformly infilled reinforced concrete frames,” J. Earthq. Eng., vol. 5, no. 1, p. 12, 2001, doi: 10.1080/13632460109350383.
[6]     P. Ricci, M. T. De Risi, G. M. Verderame, and G. Manfredi, “Influence of infill distribution and design typology on seismic performance of low- and mid-rise RC buildings,” Bull. Earthq. Eng., vol. 11, no. 5, pp. 1585–1616, 2013, doi: 10.1007/s10518-013-9453-4.
[7]     D. Celarec, P. Ricci, and M. Dolšek, “The sensitivity of seismic response parameters to the uncertain modelling variables of masonry-infilled reinforced concrete frames,” Eng. Struct., vol. 35, pp. 165–177, 2012, doi: 10.1016/j.engstruct.2011.11.007.
[8]     M. HOLMES, B. S. SMITH, R. J. MAINSTONE, R. H. WOOD, and S. SACHANSKI, “DISCUSSION. STEEL FRAMES WITH BRICKWORK AND CONCRETE INFILLING.,” Proc. Inst. Civ. Eng., vol. 23, no. 1, pp. 93–104, 1962, doi: 10.1680/iicep.1962.10925.
[9]     MAINSTONE RJ, “On the stiffnesses and strengths of infilled frames,” Proc Inst Civ Eng, Suppl, pp. 57–90, 1971.
[10]   L. Te-Chang and K. Kwok-Hung, “Nonlinear behaviour of non-integral infilled frames,” Comput. Struct., vol. 18, no. 3, pp. 551–560, 1984, doi: 10.1016/0045-7949(84)90070-1.
[11]   T. B. Panagiotakos and M. N. Fardis, “Seismic response of infilled RC frame structures,” in Proceedings of the 11th World Conference on Earthquake Engineering, 1996, pp. 1–8.
[12]   A. A. Tasnimi and A. Mohebkhah, “Investigation on the behavior of brick-infilled steel frames with openings, experimental and analytical approaches,” Eng. Struct., vol. 33, no. 3, pp. 968–980, 2011, doi: 10.1016/j.engstruct.2010.12.018.
[13]   M. Abbasnejadfard and M. Farzam, “The Effect of Opening on Stiffness and Strength of Infilled Steel Frames,” J. Rehabil. Civ. Eng., vol. 4, no. 1, pp. 78–90, 2016, doi: 10.22075/jrce.2016.494.
[14]   D. Cardone and G. Perrone, “Developing fragility curves and loss functions for masonry infill walls,” Earthq. Struct., vol. 9, no. 1, pp. 257–279, 2015, doi: 10.12989/eas.2015.9.1.257.
[15]   K. Sassun, T. J. Sullivan, P. Morandi, and D. Cardone, “Characterising the in-plane seismic performance of infill masonry,” Bull. New Zeal. Soc. Earthq. Eng., vol. 49, no. 1, pp. 98–115, 2016, doi: 10.5459/bnzsee.49.1.98-115.
[16]   A. Chiozzi and E. Miranda, “Fragility functions for masonry infill walls with in-plane loading,” Earthq. Eng. Struct. Dyn., vol. 46, no. 15, pp. 2831–2850, 2017, doi: 10.1002/eqe.2934.
[17]   V. Farhangi, M. Karakouzian, and M. Geertsema, “Effect of micropiles on clean sand liquefaction risk based on CPT and SPT,” Appl. Sci., vol. 10, no. 9, 2020, doi: 10.3390/app10093111.
[18]   V. Farhangi and M. Karakouzian, “Design of bridge foundations using reinforced micropiles,” Proc. Int. Road Fed. Glob. R2T Conf. Expo, Las Vegas, NV, USA, pp. 19–22, 2019, [Online]. Available:
[19]   G. M. Calvi, R. Pinho, G. Magenes, J. J. Bommer, L. F. Restrepo-Vélez, and H. Crowley, “DEVELOPMENT OF SEISMIC VULNERABILITY ASSESSMENT METHODOLOGIES OVER THE PAST 30 YEARS,” 2006.
[20]   R. V Whitman, J. M. Biggs, C. A. Cornell, J. E. Brennan, R. L. de Neufville, and E. H. Vanmarcke, “SEISMIC DESIGN DECISION ANALYSIS,” ASCE J Struct Div, vol. 101, no. 5, pp. 1067–1084, 1975, doi: 10.1061/jsdeag.0004049.
[21]   T. Anagnos and A. Rojhan, C. and Kiremidjian, “ATC joint study on fragility of Building.pdf.” p. 121, 1995.
[22]   M. Shinozuka, M. Q. Feng, J. Lee, and T. Naganuma, “Statistical Analysis of Fragility Curves,” J. Eng. Mech., vol. 126, no. 12, pp. 1224–1231, 2000, doi: 10.1061/(asce)0733-9399(2000)126:12(1224).
[23]   T. Rossetto and A. Elnashai, “Derivation of vulnerability functions for European-type RC structures based on observational data,” Eng. Struct., vol. 25, no. 10, pp. 1241–1263, 2003, doi: 10.1016/S0141-0296(03)00060-9.
[24]   R.-H. Cherng, “Preliminary Study on the Fragility Curves for Steel Structures in Taipei.”
[25]   C. Del Gaudio et al., “Empirical fragility curves from damage data on RC buildings after the 2009 L’Aquila earthquake,” Bull. Earthq. Eng., vol. 15, no. 4, pp. 1425–1450, 2017, doi: 10.1007/s10518-016-0026-1.
[26]   B. Tavakoli and A. Favakoli, “Estimating the vulnerability and loss functions of residential buildings,” Nat. Hazards, vol. 7, no. 2, pp. 155–171, 1993, doi: 10.1007/BF00680428.
[27]   H. Mostafaei and T. Kabeyasawa, “Investigation and analysis of damage to buildings during the 2003 Bam earthquake,” Bull. Earthq. Res. Inst., vol. 79, no. October 2014, pp. 107–132, 2004.
[28]   I. Mansouri, J. W. Hu, K. Shakeri, S. Shahbazi, and B. Nouri, “Assessment of Seismic Vulnerability of Steel and RC Moment Buildings Using HAZUS and Statistical Methodologies,” Discret. Dyn. Nat. Soc., vol. 2017, 2017, doi: 10.1155/2017/2698932.
[29]   T. Choudhury and H. B. Kaushik, “Treatment of uncertainties in seismic fragility assessment of RC frames with masonry infill walls,” Soil Dyn. Earthq. Eng., vol. 126, no. April, p. 105771, 2019, doi: 10.1016/j.soildyn.2019.105771.
[30]   `Morteza Razi, R. Vahdani, and M. Gerami, “Seismic Fragility Assessment of Steel SMRF Structures under Various Types of Near Fault Forward Directivity Ground Motions,” J. Rehabil. Civ. Eng., vol. 0, pp. 86–100, 2018, doi: 10.22075/jrce.2018.11039.1179.
[31]   A. KHODADADI, P. A. Sivandi, and S. H. MADANI, “Performance Based Seismic Rehabilitation of Steel Structures with Different Types of Shear Walls,” vol. 4, pp. 180–193, 2019, doi: 10.22075/JRCE.2019.15507.1289.
[32]   D. D’Ayala and A. Meslem, “Derivation of analytical fragility functions considering modelling uncertainties,” in Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013, 2013, pp. 903–909, doi: 10.1201/b16387-133.
[33]   X. Xie, L. Zhang, and Z. Qu, “A Critical Review of Methods for Determining the Damage States for the In-plane Fragility of Masonry Infill Walls,” J. Earthq. Eng., vol. 00, no. 00, pp. 1–22, 2020, doi: 10.1080/13632469.2020.1835749.
[34]   F. Di Trapani, M. Malavisi, P. B. Shing, and L. Cavaleri, “Definition of out-of-plane fragility curves for masonry infills subject to combined in-plane and out-of-plane damage,” in Brick and Block Masonry - From Historical to Sustainable Masonry, 2020, pp. 943–951.
[35]   L. Di Sarno and J. R. Wu, “Fragility assessment of existing low-rise steel moment-resisting frames with masonry infills under mainshock-aftershock earthquake sequences,” Bull. Earthq. Eng., vol. 19, no. 6, pp. 2483–2504, 2021, doi: 10.1007/s10518-021-01080-6.
[36]   X. Lu and S. Zha, “Full-scale experimental investigation of the in-plane seismic performance of a novel resilient infill wall,” Eng. Struct., vol. 232, no. December 2020, p. 111826, 2021, doi: 10.1016/j.engstruct.2020.111826.