Abstract
The column-to-beam flexural strength ratio (CBFSR) has been used in many seismic codes to achieve the strong column-weak beam (SCWB) failure mode in reinforced concrete (RC) frames, in which plastic hinges appear earlier in beams than in columns. However, seismic investigations show that the required limit of CBFSR in seismic codes usually cannot achieve the SCWB failure mode under strong earthquakes. This study investigates the failure modes of RC frames with different CBFSRs. Nine typical three-story RC frame models with different CBFSRs are designed in accordance with Chinese seismic codes. The seismic responses and failure modes of the frames are investigated through time-history analyses using 100 ground motion records. The results show that the required limit of the CBFSR that guarantees the SCWB failure mode depends on the beam-column connection type and the seismic intensity, and different types of beam-column connections exhibit different failure modes even though they are designed with the same CBFSR. Recommended CBFSRs are proposed for achieving the designed SCWB failure mode for different types of connections in RC frames under different seismic intensities. These results may provide some reference for further revisions of the SCWB design criterion in Chinese seismic codes.
Similar content being viewed by others
References
ACI 318-14 (2014), Building Code Requirements for Structural Concrete, Farmington Hill: American Concrete Institute.
AISC (2005), Seismic Provisions for Structural Steel Buildings (ANSI/AISC 341-05), American Institute of Steel Construction, Chicago.
Ammerman OV and Wolfgram C (1989), “R/C Beam-Column-Slab Subassemblages Subjected to Lateral Loads,” Journal of Structural Engineering, 115(6): 1298–1308.
Bondy KD (1996), “A More Rational Approach to Capacity Design of Seismic Moment Frame Columns,” Earthquake Spectra, 12(3): 395–406.
Chen H, Xie QC, Dai BY, et al. (2016), “Seismic Damage to Structures in the Ms 6.5 Ludian Earthquake,” Earthquake Engineering and Engineering Vibration, 15(1): 173–186.
Choi SW, Kim Y, Lee J, et al. (2013), “Minimum Column-to-Beam Strength Ratios for Beam-Hinge Mechanisms Based on Multi-objective Seismic Design,” Journal of Constructional Steel Research, 88: 53–62.
Clough, RW (1966), “Effect of Stiffness Degradation on Earthquake Ductility Requirements,” SESM 66-16, Berkeley: Department of Civil Engineering, University of California.
Di Franco MA, Mitchell D and Paultre P (1995), “Role of Spandrel Beams on Response of Slab-Beam-Column Connections,” Journal of Structural Engineering, 121(3): 408–419.
Doǧangün A (2004), “Performance of Reinforced Concrete Buildings during the May 1, 2003 Bingöl Earthquake in Turkey,” Engineering Structures, 26(6): 841–856.
Dooley KL and Bracci JM (2002), “Seismic Evaluation of Column-to-Beam Strength Ratios in Reinforced Concrete Frames,” ACI Structure Journal, 99(5): 709–710.
GB 50011-2010 (2016), Code for Seismic Design of Buildings, Beijing: China Architecture & Building Press. (in Chinese)
Gong MS, Yang YQ and Xie LL (2013), “Seismic Damage to Reinforced Concrete Frame Buildings in Lushan M7.0 Earthquake,” Earthquake Engineering & Engineering Vibration, 33(3): 20–26. (in Chinese)
Gong MS, Lin SB, Sun JJ, Li SY, et al. (2015), “Seismic Intensity Map and Typical Structural Damage of 2010 Ms7.1 Yushu Earthquake in China,” Natural Hazards, 77(2): 847–866.
Joint ACI-ASCE Committee 352 (2002), Recommendations for Design of Beam-Column Connections in Monolithic Reinforced Concrete Structures (ACI 352R-02), American Concrete Institute Farmington Hills, Michigan.
Kong JC, Zhai CH and Liu CH (2015), “Two-Way Seismic Behavior of Concrete Frames with Infill Walls,” Structure & Buildings, 168(9): 1–15.
Kwon M and Spacone E (2002), “Three-Dimensional Finite Element Analyses of Reinforced Concrete Columns,” Computers & Structures, 80(2): 199–212.
Lee H (1996), “Revised Rule for Concept of Strong-Column Weak-Girder Design,” Journal of Structural Engineering, 122(4): 359–364.
Li XX, Gong MS, Han JH, et al. (2015), “New Factor to Characterize Mechanism of Strong Column-Weak Beam of RC Frame Structure,” Transactions of Tianjin University, 21(6): 484–491.
Lin XC, Zhang HY, Chen HF, et al. (2015), “Field Investigation on Severely Damaged Aseismic Buildings in 2014 Ludian Earthquake,” Earthquake Engineering and Engineering Vibration, 14(1): 169–176.
Lu HS and Zhao FX (2007), “Site Coefficients Suitable to China Site Category”, Acta Seismologica Sinica, 29(1): 67–76.
Lu XZ, Ye LP, Ma YH, et al. (2012), “Lessons from the Collapse of Typical RC Frames in Xuankou School during the Great Wenchuan Earthquake,” Advances in Structural Engineering, 15(1): 139–154.
McKenna F (1997), “Object Oriented Finite Element Programming: Frameworks for Analysis, Algorithms and Parallel Computing,” University of California, Berkeley, California, U.S.
Medina RA and Krawinkler H (2005), “Strength Demand Issues Relevant for the Seismic Design of Moment-Resisting Frames,” Earthquake Spectra, 21(2): 415–439.
Mohammadjavad H, Andre F and Amjad A (2014), “Simplified Seismic Sidesway Collapse Analysis of Frame Buildings,” Earthquake Engineering and Structure Dynamics, 43(3): 429–448.
Nakashima M and Sawaizumi S (2000), “Column-to-Beam Strength Ratio Required for Ensuring Beam-Collapse Mechanisms in Earthquake Responses of Steel Moment Frames,” Proceedings of the 12th World Conference on Earthquake Engineering, 30 January–4 February, 2000, Auckland, New Zealand.
Nakashima M, Becker TC, Matsumiya T, et al. (2014), “A Lesson from the 2011 Tohoku Earthquake — The Necessity for Collaboration and Dialog Among Natural Scientists, Engineers, Social Scientists, Government Agencies, and the General Public,” In: Fischinger M. (eds) Performance-Based Seismic Engineering: Vision for an Earthquake Resilient Society. Geotechnical, Geological and Earthquake Engineering, 32: 101–116, Springer, Dordrecht.
Ning N, Qu W and Ma ZJ (2016), “Design Recommendations for Achieving Strong Column-Weak Beam in RC Frames,” Engineering Structures, 126(1): 343–352.
Pacific Earthquake Engineering Research Center. PEER Strong Motion Database [DB/OL]. https://peer.berkeley.edu/peer-strong-ground-motion-databases, June, 2016.
Park R and Paulay T (1975), Reinforced Concrete Structures, Wiley, New York, USA.
Qu Z and Ye LP (2011), “Strength Deterioration Model Based on Effective Hysteretic Energy Dissipation for RC Members under Cyclic Loading,” Engineering Mechanics, 28(6): 45–51. (in Chinese)
Robert P and Thomas P (1975), Reinforced Concrete Structures, Wiley, New York, USA.
Wang YY (2010), “Revision of Seismic Design Codes Corresponding to Building Damages in the “5.12” Wenchuan Earthquake,” Earthquake Engineering and Engineering Vibration, 9(2): 147–155.
Wongpakdee N and Leelataviwat S (2017), “Influence of Column Strength and Stiffness on the Inelastic Behavior of Strong-Column-Weak-Beam Frames,” Journal of Structural Engineering, 143(9): 04017124.
Ye LP and Song SY (2008), “Calculation of Design Methods for Flexure and Axial Strength of RC Columns in Chinese and American Codes,” Journal of Architecture and Civil Engineering, 25(2): 56–63. (in Chinese)
Ye LP, Qu Z, Ma QL, et al. (2008), “Study on Ensuring the Strong Column-Weak Beam Mechanism for RC Frames Based on the Damage Analysis in the Wenchuan Earthquake,” Advances in Structural Engineering, 38(11): 52–59.
Zaghi AE, Soroushian S, Itani A, et al. (2015), “Impact of Column-to-Beam Strength Ratio on the Seismic Response of Steel MRFs,” Bulletin of Earthquake Engineering, 13(2): 635–652.
Zhai CH, Kong JC, Wang XM, et al. (2016), “Experimental and Finite Element Analytical Investigation of Seismic Behavior of Full-Scale Masonry Infilled RC Frames,” Journal Earthquake Engineering, 20(7): 1171–1198.
Acknowledgement
This research project is supported by the National Key R&D Program of China (Grant No. 2017YFC1500601), the National Natural Science Foundation of China (Grant Nos. 51678541 and 51708523) and the Scientific Research Fund of the Institute of Engineering Mechanics, China Earthquake Administration (Grant No. 2016A01). This support is greatly appreciated.
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by
National Key R&D Program of China under Grant No. 2017YFC1500601, National Natural Science Foundation of China under Grant Nos. 51678541 and 51708523 and Scientific Research Fund of the Institute of Engineering Mechanics, China Earthquake Administration under Grant No. 2016A01
Rights and permissions
About this article
Cite this article
Maosheng, G., Zhanxuan, Z., Jing, S. et al. Influence of the column-to-beam flexural strength ratio on the failure mode of beam-column connections in RC frames. Earthq. Eng. Eng. Vib. 20, 441–452 (2021). https://doi.org/10.1007/s11803-021-2030-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11803-021-2030-y