Skip to main content
Log in

Estimation of the behavior factor of existing RC-MRF buildings

  • Technical Papers
  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

In recent years, several research groups have studied a new generation of analysis methods for seismic response assessment of existing buildings. Nevertheless, many important developments are still needed in order to define more reliable and effective assessment procedures. Moreover, regarding existing buildings, it should be highlighted that due to the low knowledge level, the linear elastic analysis is the only analysis method allowed. The same codes (such as NTC2008, EC8) consider the linear dynamic analysis with behavior factor as the reference method for the evaluation of seismic demand. This type of analysis is based on a linear-elastic structural model subject to a design spectrum, obtained by reducing the elastic spectrum through a behavior factor. The behavior factor (reduction factor or q factor in some codes) is used to reduce the elastic spectrum ordinate or the forces obtained from a linear analysis in order to take into account the non-linear structural capacities. The behavior factors should be defined based on several parameters that influence the seismic nonlinear capacity, such as mechanical materials characteristics, structural system, irregularity and design procedures. In practical applications, there is still an evident lack of detailed rules and accurate behavior factor values adequate for existing buildings. In this work, some investigations of the seismic capacity of the main existing RC-MRF building types have been carried out. In order to make a correct evaluation of the seismic force demand, actual behavior factor values coherent with force based seismic safety assessment procedure have been proposed and compared with the values reported in the Italian seismic code, NTC08.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • ASCE SEI/ASCE 7–05 (2005), Minimum Design Loads for Buildings and Other Structures, Reston USA: American Society of Civil Engineers.

  • ATC 19 (1995), Seismic Response Modification Factors, Applied Technical Council, California Seismic Safety commission, Redwood City, California.

  • ATC 34 (1995), A Critical Review of Current Approaches to Earthquake Resistant Design, Applied Technology.

  • ATC 40 (1996), Seismic Evaluation and Retrofit of Concrete Buildings, Applied Technical Council, California Seismic Safety Commission, Redwood City, California.

  • BIS IS 1893 (2002), Criteria for Earthquake Resistant Design of Structures, Part 1, New Delhi India: Bureau of Indian Standards.

  • Borzi B and Elnashai AS (2000), “Refined Force Reduction Factors for Seismic Design,” Engineering Structures, 2210: 1244–1260.

    Article  Google Scholar 

  • Borzi B, Vona M, Masi A, Pinho R and Pola D (2013), “Seismic Demand Estimation of RC Frame Buildings Based on Simplified and Nonlinear Dynamic Analyses,” Earthquakes and Structures, 4(2).

    Google Scholar 

  • Borzi B and Elnashai AS (2000), “Refined Force Reduction Factors for Seismic Design,” Engineering Structures, 2210: 1244–1260.

    Article  Google Scholar 

  • Bouc R (1967), “Forced Vibration of Mechanical System with Hysteresis,” 4th Conference on Non-linear Oscillations, Prague.

    Google Scholar 

  • Bracci JM, Reinhorn AM and Mander JB (1995), “Seismic Resistance of Reinforced Concrete Frame Structures Designed for Gravity Loads: Performance of Structural System,” ACI Structural Journal, September-October 1995.

    Google Scholar 

  • CBS, Nepal (2012}), “National Population and Housing Census 2011,” National Report, NPHC, Kathmandu

  • CEN Eurocode 8 (2004}), Design Provisions for Earthquake Resistance of Structures European Prestandard ENV 1998, Brussels Belgium: Comité Européen de Normalisation

  • Chaulagain H, Rodrigues H, Spacone E, Guragain R, Mallik R and Varum H (2014), ”Response Reduction Factor of Irregular RC Buildings in Kathmandu Valley,” Earthquake Engineering and Engineering Vibration, 13(3): 455–470, https://doi.org/10.1007/s11803-014-0255-8.

  • Craifaleanu IG (2014), “Demand Diagrams Based on Inelastic Spectra: a Proposal for the Implementation of the Capacity Spectrum Method in the Romanian Seismic Design Code,” Applied Mechanics and Materials, 580-583: 1600–1603, https://doi.org/10.4028/www.scientific.net/AMM.580-583.1600.

    Article  Google Scholar 

  • Ditommaso R, Vona M, Gallipoli MR and Mucciarelli M (2013), “Evaluation and Considerations about Fundamental Periods of Damaged Reinforced Concrete Buildings,” Natural Hazard and Earth System Science, 13: 1903–1912, https://doi.org/10.5194/nhess-13-1903-2013.

    Article  Google Scholar 

  • Elnashai AS and Mwafy AM (2002a), “Overstrength and Force Reduction Factor of Multi-Story Reinforced Concrete Buildings,” The Structural Design of Tall Buildings, 115: 329–351.

    Article  Google Scholar 

  • Elnashai AS and Mwafy AM (2002b), “Calibration of Force Reduction Factors for RC Building,” Journal of Earthquake Engineering, 6(2): 239–273.

    Google Scholar 

  • Faisal A, Majid TA and Hatzigeorgiou GD (2013), “Investigation of Story Ductility Demands of Inelastic Concrete Frames Subjected to Repeated Earthquakes,” Soil Dynamics and Earthquake Engineering, 44: 42–53.

    Article  Google Scholar 

  • Fajfar P (1999), “Capacity Spectrum Method Based on Inelastic Demand Spectra,” Earthquake Engineering and Structural Dynamic, 28: 979–993.

    Article  Google Scholar 

  • FEMA 356 (1997), Prestandard and Commentary for the Seismic Rehabilitation of Buildings, Federal Emergency Management Agency, Washington, DC.

  • FEMA 450-1/2003 Edition (2003), NEHRP Recommended Provisions for Seismic Regulations for New Buildings and Other Structure, Federal Emergency Management Agency, Washington, DC.

  • FEMA 451 (1999), NEHRP Recommended Provisions for Seismic Regulations for New Buildings, Federal Emergency Management Agency, Washington, DC.

  • FEMA P695/June (2009), Quantification of Building Seismic Performance Factors, Federal Emergency Management Agency, Washington, DC.

  • Frumento S, Magenes G, Morandi P (2009), “Valutazione del Fattore di Struttura q per Differenti Tipologie di Muratura in Laterizio,” XIII ANIDIS Conference, 28 June -2 July 2009, Bologna.

    Google Scholar 

  • Ghobarah A, Aziz T and Abou-Elfath H (1999), “Softening Effects on the Seismic Response of Nonductile Concrete Frames,” Journal of Earthquake Engineering, 3(1): 59–81.

    Google Scholar 

  • Giorgi P and Scotta R (2015), “Studio del Comportamento Sismico di Edifici a Nucleo in c.a. e Valutazione del Fattore di Struttura,” in Italiano, XVI ANIDIS Conference, 13-17 September 2015, L’Aquila.

    Google Scholar 

  • Hatzigeorgiou GD (2010), “Behavior Factors for Nonlinear Structures Subjected to Multiple Near-fault Earthquakes,” Computers and Structures, 88: 5–6, 309–321.

    Article  Google Scholar 

  • Humar JL and Ragozar MA (1996), “Concept of Overstrenght in Seismic Design,” In Proceeding 11th WCEE, IAEE, Acapulco, Mexico, Paper 639.

    Google Scholar 

  • IBC 2000, International Building Code, BOCA, ICBO, ICC, 2000.

  • Kappos AJ and Panagopoulos G (2010), “Fragility Curves for Reinforced Concrete Buildings in Greece,” Structure and Infrastructure Engineering, Maintenance, Management, Life-Cycle Design and Performance, 6(1-2): 9–53, https://doi.org/10.1080/15732470802663771.

    Google Scholar 

  • Kim J, Jun Y, and Kang H (2016), “Seismic Behavior Factors of RC Staggered Wall Buildings,” International Journal of Concrete Structures and Materials, https://doi.org/10.1007/s40069-016-0142-y ISSN 1976-0485/eISSN 2234-1315

    Google Scholar 

  • Krawinkler H and Nassar AA (1992), “Seismic Design Based on Ductility and Cumulative Damage Demand and Capacities,” In: Fajfar, Krawinkle, editors, Nonlinear Sismic Analysis and Design of Reinforced Concrete Buildings, New York: Elsevier Applied Science.

    Google Scholar 

  • Kunnath KS, Hoffmann G, Reinhorn AM, Mander JB (1995), “Gravity Load Designed RC Buildings–Part I: Seismic Evaluation of Existing Construction,” ACI Struct J, 92(3): 343–354.

    Google Scholar 

  • Lee J and Kim J (2015), “Seismic Response Modification Factors of Reinforced Concrete Staggered Wall Structures,” Magazine of Concrete Research, 67(20): 1070–1083, https://doi.org/10.1680/macr.14.00036.

    Article  Google Scholar 

  • Masi A and Vona M (2012), “Vulnerability Assessment of Gravity-load Designed RC Buildings, Evaluation of Seismic Capacity Through Nonlinear Dynamic Analyses,” Engineering Structures, 45: 257–269.

    Article  Google Scholar 

  • Masi A, Vona M, Mucciarelli M (2011), “Selection of Natural and Synthetic Accelerograms for Seismic Vulnerability Studies on RC Frames,” Journal of Structural Engineering, 137(3): 367–378.

    Article  Google Scholar 

  • Mastroberti M and Vona M (2016), “A Critical Review of Fragility Curves for Existing RC Buildings,” ECCOMAS 2016-7th European Congress on Computational Methods in Applied Sciences and Engineering, Crete, Greece, 5 June 2016, 3: 5934–5941.

    Google Scholar 

  • MDRAP, Code for the Seismic Design of Buildings: Part I–Design Prescriptions for Buildings, P100-1/2013, Monitorul Official, Part I, No. 558 of 03.09.2013, Bucharest, 2013 in Romanian.

  • Miranda E and Bertero VV (1994), “Evaluation of Strength Reduction Factors for Earthquake-resistant Design,” Earthquake Spectra, 10(2): 357–379.

    Article  Google Scholar 

  • Mitchell D and Paulter P (1994), “Ductility and Overstrenght in Seismic Design of Reinforced Concrete Structures,” Canadian Journal of Civil Engineering, 21: 1049–1060.

    Article  Google Scholar 

  • Mondal A, Ghosa S and Reddy G (2013), “Performance Based Evaluation of the Response Reduction Factor for Ductile RC Frames,” Engineering Structures, 56: 1808–1819.

    Article  Google Scholar 

  • Newmark NM and Hall WJ (1982), Earthquake Spectra and Design, ERRI Monograph Series, Oakland:ERRI.

    Google Scholar 

  • NTC 2008 (2008), Norme Tecniche per le Costruzioni. Decreto del Ministero delle Infrastrutture, Supplemento Ordinario n.30 alla Gazzetta Ufficiale della Repubblica italiana, 29, 4/02/2008, Italy. (in Italian)

  • Pampanin S, Calvi GM and Moratti M (2002), “Seismic Behavior of RC Beam-column Joints Designed for Gravity Loads,” 12th World Conference of Earthquake Engineering, London, UK.

    Google Scholar 

  • Park R (1988), “Ductility Evaluation from Laboratory and Analytical Testing,” Proceedings of the 9th World Conference on Earthquake Engineering, Tokyo, Japan Vol.VIII.

    Google Scholar 

  • Park YJ, Ang AHS and Wen YK (1987a), “Damage Limiting Design of Buildings,” Earthquake Spectra, 3: N.1.

  • Park YJ, Reinhorn AM and Kunnath SK (1987b), “IDAR: Inelastic Damage Analysis of Frame Shell-wall Structures,” Technical Report NCEER 87-0008. Buffalo, N.Y.

    Google Scholar 

  • Patel B, and Shah D (2010), “Formulation of Response Reduction Factor for RC Framed Staging of Elevated Water Tank Using Static Pushover Analysis,” Proceeding of the World Congress on Engineering, London.

    Google Scholar 

  • Salvitti LM and Elnashai AS (1996), “Evaluation of Behaviorfactors for RC Buildings by Nonlinear Dynamic Analysis,” 11WCEE, Paper No. 1820, SIBN: 0 08 042822 3.

    Google Scholar 

  • Silva V, Crowley H, Varum H, Pinho R and Sousa R (2014), “Evaluation of Analytical Methodologies Used to Derive Vulnerability Functions,” Earthquake Engineering and Structural Dynamic, 432: 181–204.

    Article  Google Scholar 

  • Soltangharaei V, Razi M and Vahdani R (2016), “Seismic Fragility of Lateral Force Resisting Systems under Near and Far-fault Ground Motions,” International Journal of Structural Engineering, IJSTRUCTE, 7(3).

    Google Scholar 

  • Uang CM (1991), “Establishing R and Cd Factors for Building Seismic Provisions,” Journal of Structural Engineering, ASCE, 117(1): 19–28.

    Article  Google Scholar 

  • Vona M (2014), “Fragility Curves of Existing RC Buildings Based on Specific Structural Performance Levels,” Open Journal of Civil Engineering, 4: 120–134.

    Article  Google Scholar 

  • Zahid M, Robert D and Shahrin F (2013), “An Evaluation of Overstrength Factor of Seismic Designed Low Rise RC Buildings,” Procedia Engineering, 53: 48–51.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Monica Mastroberti.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vona, M., Mastroberti, M. Estimation of the behavior factor of existing RC-MRF buildings. Earthq. Eng. Eng. Vib. 17, 191–204 (2018). https://doi.org/10.1007/s11803-018-0434-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-018-0434-0

Keywords

Navigation