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A probabilistic model for the evaluation of strong column-weak beam provision for flexible-base buildings subjected to pulse-like ground motions

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Abstract

The main objective of this study is to employ a probabilistic approach to determine the appropriate value of the strong column-weak beam ratio (SCWBR) for three mid- to high-rise moment frames. These buildings are subjected to pulse-type ground motions. The nonlinear soil-structure interaction (SSI) is also involved as another seismic energy dissipation mechanism. A set of incremental nonlinear dynamic analyses are performed for 91 pulse-like ground motions. The proposed approach includes global and local performance criteria. Park-Ang damage index is utilized as the damage measure for columns. In this regard, simple mathematical equations are also derived to quantify the impact of the SCWBR. This framework introduces an upper bound on the SCWBR beyond which further increase of this parameter would not be required to limit the damage of columns. The results indicate that for the 4-story building, the applicability of the SCWBR extends to values as large as 2.4, while for the 8 and 12-story buildings, this is restricted to 1.8 and 1.6, respectively. However, these values substantially depend on the pulse period in such a way that the SCWBR of 1.2 would be sufficient when the pulse period is approaching the fundamental period of structures. The SSI may improve the collapse probability of high-rise structures to a larger extent compared to SCWBR. Nevertheless, its effect can be diminished by more damage of columns at the lower portion of buildings.

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Fig. 1

(Adapted from Haselton and Deierlein (2007); d idealized model for soil-structure system; e schematic model for the cyclic response of vertical zero-length springs (Raychowdhury and Hutchinson 2009)

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Availability of data and material

Not applicable.

Code availability

The OpenSees software, developed by the Pacific Earthquake Engineering Research Center (PEER), has been used for the dynamic analysis of this paper. This software can be accessed at https://opensees.berkeley.edu/.

References

  • ACI Committee 318 (2014) Building code requirements for structural concrete (318–14) and commentary. Farmington Hills, MI

  • Alavi B, Krawinkler H (2004) Behavior of moment-resisting frame structures subjected to near-fault ground motions. Earthq Eng Struct Dyn 33:687–706

    Article  Google Scholar 

  • ANSI/AISC 341-16 (2016) Seismic Provisions for Structural Steel Buildings. American Institute of Steel Construction Inc, Chicago, IL

  • Archila M, Ventura CE, Finn WDL (2017) New insights on effects of directionality and duration of near - field ground motions on seismic response of tall buildings. Struct Des Tall Spec Build 26:1–14

    Article  Google Scholar 

  • ASCE/SEI 7-16 (2016) Minimum design loads for buildings and other structures. American Society of Civil Engineers

  • ATC 63 (2009) Quantification of building seismic performance factors, FEMA P695. Redwood City, CA.

  • Bai J, Ou J (2012) Plastic limit-state design of frame structures based on the strong-column weak-beam failure mechanism. In: 15th world conference on earthquake engineering (15WCEE)

  • Baker JW (2007) Quantitative classification of near-fault ground motions using wavelet analysis. Bull Seismol Soc Am 97:1486–1501

    Article  Google Scholar 

  • Cagurangan C, Moehle JP (2015) Effects of strong-column weak-beam ratios on collapse capacities of tall reinforced concrete moment frame structures. University of California, Berkeley

    Google Scholar 

  • Cavalieri F, Correia AA, Crowley H, Pinho R (2020) Dynamic soil-structure interaction models for fragility characterisation of buildings with shallow foundations. Soil Dyn Earthq Eng 132:

  • Champion C, Liel A (2012) The effect of near-fault directivity on building seismic collapse risk. Earthq Eng Struct Dyn 41:1391–1409

    Article  Google Scholar 

  • Chopra AK (1995) Dynamics of structures: theory and applications to earthquake engineering. Prentice-Hall, University of California at Berkeley

    Google Scholar 

  • Chopra AK, Chintanapakdee C (2001) Comparing response of SDF systems to near-fault and far-fault earthquake motions in the context of spectral regions. Earthq Eng Struct Dyn 30:1769–1789

    Article  Google Scholar 

  • Costa A, Romão X, Oliveira CS (2010) A methodology for the probabilistic assessment of behaviour factors. Bull Earthq Eng 8:47–64. https://doi.org/10.1007/s10518-009-9126-5

    Article  Google Scholar 

  • Dooley KL, Bracci JM (2001) Seismic evaluation of column-to-beam strength ratios in reinforced concrete frames. ACI Struct J 98:843–851

    Google Scholar 

  • Eurocode 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

  • Fardis MN (2009) Seismic design and retrofit of concrete buildings based on EN-Eurocode 8. Springer Science & Business Media

  • Galal K, Naimi M (2008) Effect of soil conditions on the response of reinforced concrete tall structures to near- fault earthquakes. Struct Des Tall Spec Build

  • Gazetas G (1991) Foundation vibrations. Chapman and Hall, Fang HY

    Book  Google Scholar 

  • Gazetas G, Anastasopoulos I, Adamidis O, Kontoroupi T (2013) Nonlinear rocking stiffness of foundations. Soil Dyn Earthq Eng 47:83–91. https://doi.org/10.1016/j.soildyn.2012.12.011

    Article  Google Scholar 

  • Ghorbanzadeh M, Khoshnoudian F (2020) The effect of strong column-weak beam ratio on the collapse behaviour of reinforced concrete moment frames subjected to near-field earthquakes. J Earthq Eng. https://doi.org/10.1080/13632469.2020.1822228

    Article  Google Scholar 

  • Gillie JL, Rodriguez-Marek A, McDaniel C (2010) Strength reduction factors for near-fault forward-directivity ground motions. Eng Struct 32:273–285

    Article  Google Scholar 

  • Güllü H, Karabekmez M (2017) Effect of near-fault and far-fault earthquakes on a historical masonry mosque through 3D dynamic soil-structure interaction. Eng Struct 152:465–492

    Article  Google Scholar 

  • Guo G, Qin L, Yang D, Liu Y (2020) Dimensional response analysis of rocking wall-frame building structures with control devices subjected to near-fault pulse-like ground motions. Eng Struct. https://doi.org/10.1016/j.engstruct.2020.110842

    Article  Google Scholar 

  • Haselton CB, Deierlein GG (2007) Assessing seismic collapse safety of modern reinforced concrete moment-frame buildings. Stanford University

  • Ibarra LF, Krawinkler H (2005) Global Collapse of Frame Structures under Seismic Excitations (PEER Report). Stanford, CA

  • Ji X, Kato M, Wang T et al (2009) Effect of gravity columns on mitigation of drift concentration for braced frames. J Constr Steel Res 65:2148–2156. https://doi.org/10.1016/j.jcsr.2009.07.003

    Article  Google Scholar 

  • Ji K, Ren Y, Wen R, Kuo C (2019) Near-field velocity pulse-like ground motions on February 6 , 2018 M W 6.4 Hualien, Taiwan earthquake and structural damage implications. Soil Dyn Earthq Eng 126:105784

  • Kalkan E, Kunnath SK (2006) Effects of fling step and forward directivity on seismic response of buildings. Earthq Spectra 22:367–390

    Article  Google Scholar 

  • Kappos AJ (1997) Influence of capacity design method on the seismic response of RC columns. J Earthq Eng 1:341–399

    Google Scholar 

  • Karapetrou ST, Fotopoulou SD, Pitilakis KD (2015) Seismic vulnerability assessment of high-rise non-ductile RC buildings considering soil–structure interaction effects. Soil Dyn Earthq Eng 73:42–57

    Article  Google Scholar 

  • Krishnan S, Muto M (2012) Mechanism of collapse of tall steel moment-frame buildings under earthquake excitation. J Struct Eng 138:1361–1387. https://doi.org/10.1061/(asce)st.1943-541x.0000573

    Article  Google Scholar 

  • Kuntz GL, Browning J (2003) Reduction of column yielding during earthquakes for reinforced concrete frames. ACI Struct J 100:573–580

    Google Scholar 

  • Li S, Zhang F, Wang J et al (2017) Seismic responses of super-span cable-stayed bridges induced by ground motions in different sites relative to fault rupture considering soil-structure interaction. Soil Dyn Earthq Eng 101:295–310

    Article  Google Scholar 

  • Lignos DG, Krawinkler H (2013) Development and utilization of structural component databases for performance-based earthquake engineering. J Struct Eng 139:1382–1394

    Article  Google Scholar 

  • Lin YY, Tsai MH, Hwang JS, Chang KC (2003) Direct displacement-based design for building with passive energy dissipation systems. Eng Struct 25:25–37

    Article  Google Scholar 

  • Macedo L, Silva A, Castro JM (2019) A more rational selection of the behaviour factor for seismic design according to Eurocode 8. Eng Struct 188:69–86

    Article  Google Scholar 

  • McKenna F (2011) OpenSees: a framework for earthquake engineering simulation. Comput Sci Eng 13:58–66. https://doi.org/10.1109/MCSE.2011.66

    Article  Google Scholar 

  • Moehle JP, Hooper JD, Lubke CD (2008) Seismic design of reinforced concrete special moment frames: a guide for practicing engineers (NIST GCR 8–917–1)

  • Mylonakis G, Nikolaou S, Gazetas G (2006) Footings under seismic loading: analysis and design issues with emphasis on bridge foundations. Soil Dyn Earthq Eng. https://doi.org/10.1016/j.soildyn.2005.12.005

    Article  Google Scholar 

  • Nakashima M, Sawaizumi S (2000) Column-to-beam strength ratio required for ensuring beam-collapse mechanisms in earthquake responses of steel moment frames. In: Proceedings of 12th world conference on earthquake engineering, Auckland, New Zealand

  • Nakhaei M, Ghannad MA (2008) The effect of soil-structure interaction on damage index of buildings. Eng Struct 30:1491–1499. https://doi.org/10.1016/j.engstruct.2007.04.009

    Article  Google Scholar 

  • NIST (2012) Soil-Structure Interaction for Building Structures. NIST GCR 12–917–21 Gaithersbu:Applied Technology Council

  • NZS 3101-1 (2006) Concrete structures standard - The design of concrete structures. Standards New Zealand

  • Öncü-Davas S, Alhan C (2019) Reliability of semi-active seismic isolation under near-fault earthquakes. Mech Syst Signal Process 114:146–164. https://doi.org/10.1016/j.ymssp.2018.04.045

    Article  Google Scholar 

  • Park Y, Ang AH-S, Wen YK (1985) Seismic damage analysis of reinforced concrete buildings. J Struct Eng 111:740–757

    Article  Google Scholar 

  • Pitilakis KD, Karapetrou ST, Fotopoulou SD (2014) Consideration of aging and SSI effects on seismic vulnerability assessment of RC buildings. Bull Earthq Eng

  • Qu B, Sanchez-Zamora F, Pollino M (2014) Mitigation of inter-story drift concentration in multi-story steel concentrically braced frames through implementation of rocking cores. Eng Struct 70:208–217. https://doi.org/10.1016/j.engstruct.2014.03.032

    Article  Google Scholar 

  • Raychowdhury P (2008) Nonlinear Winkler-based shallow foundation model for performance assessment of seismically loaded structures. University of California, San Diego

    Google Scholar 

  • Raychowdhury P, Hutchinson TC (2009) Performance evaluation of a nonlinearWinkler-based shallow foundation model using centrifuge test results. Earthq Eng Struct Dyn 38:679–698

    Article  Google Scholar 

  • Ryan KL, Polanco J (2008) Problems with rayleigh damping in base-isolated buildings. J Struct Eng 134:1780–1784

    Article  Google Scholar 

  • Sattar S, Liel AB (2017) Collapse indicators for existing nonductile concrete frame buildings with varying column and frame characteristics. Eng Struct 152:188–201

    Article  Google Scholar 

  • SEAOC (1999) Recommended Lateral Force Requirements and Commentary. Seismology Committee, Structural Engineers Association of California

  • Sehhati R, Rodriguez-marek A, ElGawady M, Cofer WF (2011) Effects of near-fault ground motions and equivalent pulses on multi-story structures. Eng Struct 33:767–779

    Article  Google Scholar 

  • Uang C-M, Bertero VV (1990) Evaluation of seismic energy in structures. Earthq Eng Struct Dyn 19:77–90. https://doi.org/10.1002/eqe.4290190108

    Article  Google Scholar 

  • Vafaei M, Baniahmadi M, Alih SC (2019) The relative importance of strong column-weak beam design concept in the single-story RC frames. Eng Struct 185:159–170

    Article  Google Scholar 

  • Vamvatsikos D, Cornell CA (2002) Incremental dynamic analysis. Earthq Eng Struct Dyn 31:491–514

    Article  Google Scholar 

  • Whittaker A, Hart G, Rojahn C (1999) Seismic response modification factors. J Struct Eng 125:438–444

    Article  Google Scholar 

  • Wongpakdee N, Leelataviwat S (2017) Influence of Column Strength and Stiffness on the Inelastic Behavior of Strong-Column-Weak-Beam Frames. J Struct Eng 143:

  • Zaghi AE, Soroushian S, Itani A et al (2014) Impact of column-to-beam strength ratio on the seismic response of steel MRFs. Bull Earthq Eng 13:635–652

    Article  Google Scholar 

  • Zareian F, Krawinkler H (2007) Assessment of probability of collapse and design for collapse safety. Earthq Eng Struct Dyn 36:1901–1914. https://doi.org/10.1002/eqe

    Article  Google Scholar 

  • Zhang Y, Chen J, Sun C (2017) Damage-based strength reduction factor for nonlinear structures subjected to sequence-type ground motions. Soil Dyn Earthq Eng 92:298–311

    Article  Google Scholar 

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Ghorbanzadeh, M., Khoshnoudian, F. & Taghikhany, T. A probabilistic model for the evaluation of strong column-weak beam provision for flexible-base buildings subjected to pulse-like ground motions. Bull Earthquake Eng 20, 997–1026 (2022). https://doi.org/10.1007/s10518-021-01262-2

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