Skip to main content
Log in

Inelastic displacement ratio of low- to mid-rise BRBFs designed under variable levels of seismicity

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

Abstract

Buckling-restrained braces (BRBs) have shown their capability to provide building structures with stiffness, strength, and ductility. Estimating the seismic drifts of buckling-restrained braced frames (BRBFs) is an important design step to control structural and non-structural damage. In current practice of seismic design, the estimation of seismic drifts of BRBFs is performed by using empirical calculations that are independent upon either the type of the structural system or the design level of seismicity. In these empirical calculations, the seismic drifts are estimated by amplifying the reduced elastic drifts obtained under design lateral loading with a displacement amplification factor (DAF). The value of DAF is considered equal to the product of the response modification factor R and the inelastic displacement ratio ρ. The goal of the current research is to assess the value of ρ for low- to mid-rise BRBFs designed under low and high levels of seismicity. This goal has been achieved by conducting a series of elastic and inelastic time-history analyses pertaining to an ensemble of earthquake records on 3-, 6- and 9-story BRBFs. The results indicate that the ρ-ratio increases with an increase in design seismic intensity and an increase in experienced inelasticity. The range of ρ for low seismicity designs ranges from 0.63 to 0.9, while for high seismicity designs this range stretches from 0.83 to 1.29. It has been found that the consideration of a general ρ-ratio of 1.0 is a reasonable estimation for the design of the BRBFs considered in this study.

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

  • Abou-Elfath H (2019), “Evaluating the Inelastic Displacement Ratios of Moment-Resisting Steel Frames Designed According to the Egyptian Code,” Earthquake Engineering and Engineering Vibration, 18(1): 159–170.

    Article  Google Scholar 

  • Abou-Elfath H and Elhout E (2019), “Periods of BRB Steel Buildings Designed with Variable Seismic-Force Demands,” Constructional Steel Research, 156: 192–201.

    Article  Google Scholar 

  • Ariyaratana CA and Fahnestock LA (2011), “Evaluation of Buckling-Restrained Braced Frame Seismic Performance Considering Reserve Strength,” Engineering Structures, 33: 77–89.

    Article  Google Scholar 

  • ASCE 7-10 (2010), Minimum Design Loads for Buildings and Other Structures, American Society of Civil Engineers/Structural Engineering Institute, Reston, VA, USA.

    Google Scholar 

  • ASCE 7-16 (2016), Minimum Design Loads for Buildings and Other Structures, American Society of Civil Engineers/Structural Engineering Institute, Reston, VA, USA.

    Google Scholar 

  • Atasever K, Inanaga S, Takeuchi T, Terazawa Y and Celik OC (2020), “Experimental and Numerical Studies on Buckling Restrained Braces with Post-Tensioned Carbon Fiber Composite Cables,” Earthquake Engineering and Structural Dynamics, 49(3): 1640–1661.

    Article  Google Scholar 

  • Avci-Karatas C, Celik OC and Yalcin C (2018), “Experimental Investigation of Aluminum Alloy and Steel Core Buckling Restrained Braces (BRBs),” International Journal of Steel Structures (IJOSS), 18(2): 650–673.

    Article  Google Scholar 

  • Black CJ, Makris N and Aiken ID (2002), “Component Testing, Stability Analysis and Characterization of Buckling-Restrained ‘Unbonded’ Braces,” Technical Report PEER 2002/08, Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, USA.

    Google Scholar 

  • Chopra AK and Chintanapakdee C (2004), “Inelastic Deformation Ratios for Design and Evaluation of Structures: Single-Degree-of-Freedom Bilinear Systems,” ASCE Journal of Structural Engineering, 130(9): 1309–1319.

    Article  Google Scholar 

  • Clark P, Kasai K, Aiken ID and Kimura I (2000), “Evaluation of Design Methodologies for Structures Incorporating Steel Unbonded Braces for Energy Dissipation,” Proceedings of the 12th World Conference on Earthquake Engineering, Upper Hut, New Zealand, Paper No. 2240.

    Google Scholar 

  • ECP-201 (2012), Egyptian Code for Calculating Loads and Forces in Structural Work and Masonry, Housing and Building National Research Center, Ministry of Housing, Utilities and Urban Planning, Cairo, Egypt.

    Google Scholar 

  • Erochko J, Christopoulos C, Tremblay R and Choi H (2011), “Residual Drift Response of SMRFs and BRB Frames in Steel Buildings Designed According to ASCE 7-05,” Journal of Structural Engineering, 137(5): 589–599.

    Article  Google Scholar 

  • Euro Code 8 (2004), Design of Structures for Earthquake Resistance, Part 1: General Rules, Seismic Actions, and Rules for Buildings, EN 1998-1, European Committee for Standardization, Brussels, Belgium.

    Google Scholar 

  • Fahnestock LA, Sause R, Ricles JM and Lu LW (2003), “Ductility Demands on Buckling Restrained Braced Frames Under Earthquake Loading,” Earthquake Engineering and Engineering Vibration, 2(2): 255–268.

    Article  Google Scholar 

  • Fahnestock LA, Sause R and Ricles JM (2007), “Seismic Response and Performance of Buckling-Restrained Braced Frames,” J. Struct. Eng., 133(9): 1195–1204.

    Article  Google Scholar 

  • FEMA (2009), Quantification of Building Seismic Performance Factors, FEMA P695, Prepared by the Applied Technology Council for the Federal Emergency Management Agency, Washington, D.C., USA.

    Google Scholar 

  • Jiang T, Dai JW, Yang YQ, Liu YB and Bai W (2020), “Study of a New-Type of Steel Buckling-Restrained Brace,” Earthquake Engineering and Engineering Vibration, 19(1): 239–256. https://doi.org/10.1007/s11803-020-0559-9

    Article  Google Scholar 

  • Kasai K, Fu Y and Watanabe A (1998), “Passive Control Systems for Seismic Damage Mitigation,” Journal of Structural Engineering, 124(5): 501–512.

    Article  Google Scholar 

  • Kiggins S and Uang CM (2006), “Reducing Residual Drift of Buckling-Restrained Braced Frames as a Dual System,” Engineering Structures, 28: 1525–1532.

    Article  Google Scholar 

  • Kuşyılmaz A and Topkaya C (2015), “Displacement Amplification Factors for Steel Eccentrically Braced Frames,” Earthq. Eng. Struct. Dynam, 44(2): 167–184.

    Article  Google Scholar 

  • Mahmoudi M and Zaree M (2013), “Evaluating the Displacement Amplification Factors of Concentrically Braced Steel Frames,” International Journal of Advanced Structural Engineering, 5, paper no. 13.

  • Merritt S, Uang CM and Benzoni G (2003), “Subassemblage Testing of Core Brace buckling Restrained Braces,” Structural Systems Research Project, Report No. TR-2003/01, University of California, San Diego, La Jolla, CA, USA.

    Google Scholar 

  • Miranda E and Ruiz-Garcia J (2002), “Evaluation of Approximate Methods to Estimate Maximum Inelastic Displacement Demands,” Earthquake Engineering and Structural Dynamics, 31(3): 539–560.

    Article  Google Scholar 

  • Mollaioli F, Mura A and Decanini LD (2007), “Assessment of the Deformation Demand in Multi-Storey Frames,” Journal of Seismology and Earthquake Engineering, 8(4): 203–219.

    Google Scholar 

  • NBCC (2010), National Building Code of Canada, National Research Council of Canada, Ottawa, Ontario, Canada.

    Google Scholar 

  • Newell J, Uang C and Benzoni G (2006), “Subassemblage Testing of Core Brace Buckling Restrained Braces (G Series),” Report No. TR-06/01, Department of Structural Engineering, University of California, San Diego, California, USA.

    Google Scholar 

  • Özkılıç YO, Bozkurt MB and Topkaya C (2018), “Evaluation of Seismic Response Factors for BRBFs Using FEMA P695 Methodology,” J. Constr. Steel Res., 151: 41–57.

    Article  Google Scholar 

  • Pandikkadavath MS and Sahoo DR (2020), “Development and Subassemblage Cyclic Testing of Hybrid Buckling-Restrained Steel Braces,” Earthquake Engineering and Engineering Vibration, 19(4): 967–983. https://doi.org/10.1007/s11803-020-0607-5

    Article  Google Scholar 

  • Prakash V and Powell GH (1993), “DRAIN-2DX-Version 1.02–User Guide,” Report No. UCB/SEMM-93/17, Civil Eng. Dept., University of California at Berkeley, USA.

    Google Scholar 

  • Sabelli R (2001), “Research on Improving the Design and Analysis of Earthquake-Resistant Steel Braced Frames,” The 2000 NEHRP Professional Fellowship Report, Earthquake Engineering Research Institute, Oakland, California, USA.

    Google Scholar 

  • Sabelli R and Aiken I (2003), “Development of Building Code Provisions for Buckling-Restrained Braced Frames,” Behavior of Steel Structures in Seismic Areas, Proceedings of the 4th International Conference STESSA, F. Mazzolani (Ed.), Naples, Italy, pp. 813–818.

    Google Scholar 

  • Sabelli R, Mahin S and Chang C (2003), “Seismic Demands on Steel Braced Frame Buildings with Buckling-Restrained Braces,” Engineering Structures, 25: 655–666.

    Article  Google Scholar 

  • Sahoo DR and Chao SH (2010), “Performance-Based Plastic Design Method for Buckling-Restrained Braced Frames,” Engineering Structures, 32(9): 2950–2958.

    Article  Google Scholar 

  • Saingam P, Sutcu F, Terazawa Y, Fujishita K, Lin PC, Celik OC and Takeuchi T (2020), “Composite Behavior in RC Buildings Retrofitted using Buckling-Restrained Braces with Elastic Steel Frames,” Engineering Structures, 219: 110896.

    Article  Google Scholar 

  • Sutcu F, Bal A, Fujishita K, Matsui R, Celik OC and Takeuchi T (2020), “Experimental and Analytical Studies of Sub-Standard RC Frames Retrofitted with Buckling-Restrained Braces and Steel Frames,” Bulletin of Earthquake Engineering, 18: 2389–2410.

    Article  Google Scholar 

  • Tremblay R, Bolduc P, Neville R and DeVall R (2006), “Seismic Testing and Performance of Buckling Restrained Bracing Systems,” Canadian Journal of Civil Engineering, 33: 183–198.

    Article  Google Scholar 

  • Uang CM and Maarouf A (1994), “Deflection Amplification Factor for Seismic Design Provisions,” Journal of Structural Engineering, 120(8): 2423–2436.

    Article  Google Scholar 

  • Veletsos AS and Newmark NM (1960), “Effect of Inelastic Behavior on the Response of Simple Systems to Earthquake Motions,” The 2nd World Conference on Earthquake Engineering, Tokyo, Japan, 2: 895–912.

    Google Scholar 

  • Woessner J, Laurentiu D, Giardini D, et al. (2013), “The 2013 European Seismic Hazard Model: Key Components and Results,” Bulletin of Earthquake Engineering, 13: 3553–3596.

    Article  Google Scholar 

  • Yakhchalian M, Asgarkhani N and Yakhchalian M (2020), “Evaluation of Deflection Amplification Factor for Steel Buckling Restrained Braced Frames,” Journal of Building Engineering, 30: 101228.

    Article  Google Scholar 

  • Zaruma S and Fahnestock LA (2018), “Assessment of Design Parameters Influencing Seismic Collapse Performance of Buckling Restrained Braced Frames,” Soil Dyn Earthq Eng, 113: 35–46.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abou-Elfath Hamdy.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hamdy, AE., Mostafa, R. Inelastic displacement ratio of low- to mid-rise BRBFs designed under variable levels of seismicity. Earthq. Eng. Eng. Vib. 22, 763–775 (2023). https://doi.org/10.1007/s11803-023-2197-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-023-2197-5

Keywords

Navigation