Abstract
This paper investigated seismic performance of reinforced concrete (RC) single-column bridge bent with flexural failure under near-fault ground motion. Innovative nonlinear fiber-based finite element models (FEM) with combined damage mechanisms were proposed. Cracking and spalling of cover concrete, buckling of longitudinal reinforcing steel bars, and bond-slip effect were considered. To study bond-slip effect, two FEM were developed: model 1 (without bond-slip) and model 2 (with bond-slip). Nonlinear static cyclic pushover analyses and nonlinear response history analyses under scaled near-fault ground motion were conducted. The simulation results were compared with available pseudo-dynamic test results. Various ductility coefficients were evaluated to assess the seismic performance of RC bridge column. The attributes of near-fault ground motion on the seismic responses of RC bridge column were discussed. Model 1 overestimated the ultimate lateral load resistance, longitudinal reinforcing steel bar strain, and cover concrete strain. Model 1 also underestimated the lateral deflection of RC bridge column. The results of model 2 agree well with experimental observations including hysteretic responses and damage mechanisms. In general, the predictions of both models are in good agreement with the experimental observations. However, model 2 provides improved predictions on the seismic performance of RC single-column bridge bent under near-fault ground motion. It was also observed that maximum responses of RC bridge columns under near-fault motion were characterized by one or few large hysteretic cycles. The proposed models could also help practicing engineers and researchers simulate seismic performance of RC bridge columns under near-fault ground motions in a computationally efficient manner.
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Abbreviations
- \(f_{{\text{y}}} ,f_{{\text{u}}}\) :
-
Yield and ultimate strength of longitudinal reinforcing bars, respectively
- \(E_{\text{s}} ,E_{{{\text{sh}}}}\) :
-
Elastic modulus and strain-hardening modulus of longitudinal reinforcing bars, respectively
- \(\varepsilon _{{{\text{sh}}}} ,\varepsilon _{{{\text{su}}}}\) :
-
Strain corresponding to initial strain hardening and peak stress of longitudinal reinforcing bars, respectively
- \(L_{{\text{u}}} ,d_{{\text{b}}} ,s\) :
-
Unsupported length, diameter of circular cross section of longitudinal reinforcing bars, and the spacing of transverse reinforcing bars, respectively
- \(\beta ,{\text{ }}r,{\text{ }}\gamma\) :
-
Amplification factor for the buckled stress–strain curve, buckling reduction factor, and buckling constant of longitudinal reinforcing bars, respectively
- \(\sigma _{{\text{b}}} ,\varepsilon _{{\text{y}}}\) :
-
Buckled stress and tensile yield strain of longitudinal reinforcing bars, respectively
- \(L_{{\text{p}}} ,\theta _{{\text{p}}} ,L\) :
-
Plastic hinge length, plastic rotation, and length or height of RC bridge column, respectively
- \(\sigma ,S\) :
-
Monotonic longitudinal reinforcing bar stress and loaded-end slip, respectively
- \(f_{{{\text{cc}}}}^{'} ,\varepsilon _{{{\text{cc}}}} ,f_{{{\text{cu}}}} ,\varepsilon _{{{\text{cu}}}}\) :
-
Compressive strength, compressive strain at maximum strength, crushing strength, and compressive strain at crushing strength of confined concrete, respectively
- \(E_{{\text{c}}} ,E_{{{\text{ts}}}}\) :
-
Modulus of elasticity and tension softening stiffness of concrete, respectively
- \(f_{\text{t}}\) :
-
Tensile strength of concrete
- \(f_{{\text{c}}}^{'} ,\varepsilon _{0}\) :
-
Compressive strength and compressive strain at maximum strength of unconfined concrete, respectively
- \(M_{{\text{n}}} ,\Phi _{{\text{y}}} ,M_{{\text{u}}} ,\Phi _{{\text{u}}} ,\Phi _{{\text{p}}}\) :
-
Nominal moment, yield curvature, ultimate moment, ultimate curvature, and plastic curvature of RC critical cross section, respectively
- \(\Delta _{\text{y}} ,\Delta _{{\text{p}}}\) :
-
Member yield displacement and member plastic displacement, respectively
- \({{\mu _{\Delta } } \mathord{\left/ {\vphantom {{\mu _{\Delta } } {\mu _{{\Delta ,{\text{capacity}}}} }}} \right. \kern-\nulldelimiterspace} {\mu _{{\Delta ,{\text{capacity}}}} }}\) :
-
Ratio of system displacement ductility demand/capacity
- \({{\mu _{\Delta }^{*} } \mathord{\left/ {\vphantom {{\mu _{\Delta }^{*} } {\mu _{{\Delta {\text{,capacity}}}}^{*} }}} \right. \kern-\nulldelimiterspace} {\mu _{{\Delta {\text{,capacity}}}}^{*} }}\) :
-
Ratio of member displacement ductility demand/capacity
- \({{\mu _{{\Phi ,{\text{hinge}}}} } \mathord{\left/ {\vphantom {{\mu _{{\Phi ,{\text{hinge}}}} } {\mu _{{\Phi ,{\text{capacity}}}} }}} \right. \kern-\nulldelimiterspace} {\mu _{{\Phi ,{\text{capacity}}}} }}\) :
-
Ratio of curvature ductility demand/capacity in the plastic hinge region
References
Chang YS, Li YF, Loh CH (2004) Experimental study of seismic behaviors of as-built and carbon fiber reinforced plastics repaired reinforced concrete bridge columns. J Bridge Eng ASCE 9(4):391–402
Melek M, Wallace JW (2004) Cyclic behavior of columns with short lap splices. ACI Struct J 101(6):802–811
Chang SY, Billington S (2010) Experimental studies of reinforced concrete bridge columns under axial load plus biaxial bending. J Struct Eng ASCE 136(1):12–25
Su J, Dhakal RP, Wang J, Wang W (2017) Seismic performance of RC bridge piers reinforced with varying yield strength steel. Earthq Struct 12(2):201–211
Su J, Wang J, Li Z, Liang X (2019) Effect of reinforcement grade and concrete strength on seismic performance of reinforced concrete bridge piers. Eng Struct 198:109512
Lopez A, Dusicka P, Bazaez R (2020) Performance of seismically substandard bridge reinforced concrete columns subjected to subduction and crustal earthquakes. Eng Struct 207:110216
Priestley MJN, Seible F, Calvi GM (1996) Seismic design and retrofit of bridges. Wiley-Interscience, New York
Haroun M, Elsanadedy H (2005) Behavior of cyclically loaded squat reinforced concrete bridge columns upgraded with advanced composite-material jackets. J Bridge Eng ASCE 10(6):741–748
Haroun M, Elsanadedy H (2005) Fiber-reinforced plastic jackets for ductility enhancement of reinforced concrete bridge columns with poor lap-splice detailing. J Bridge Eng ASCE 10(6):749–757
Choi KK, Xiao Y (2010) Analytical model of circular CFRP confined concrete-filled steel tubular columns under axial compression. J Compos Constr ASCE 14(1):125–133
Sakai J, Mahin SA (2004) Mitigation of residual displacements of circular reinforced concrete bridge columns. In: 13th World conference on earthquake Eng, Vancouver, B.C., Canada
Sakai J., Mahin SA (2004) Analytical investigations of new methods for reducing residual displacements of reinforced concrete bridge columns. Report No PEER-2004/02, Pacific Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley
Lee WK, Billington S (2010) Modeling residual displacements of concrete bridge columns under earthquake loads using fiber elements. J Bridge Eng ASCE 15(3):240–249
Moshref A, Tehranizadeh M, Khanmohammadi M (2015) Investigation of the reliability of nonlinear modeling approaches to capture the residual displacements of RC columns under seismic loading. Bull Earthq Eng 13:2327–2345
Kim TH, Lee KM, Chung YS, Shin HM (2005) Seismic damage assessment of reinforced concrete bridge columns. Eng Struct 27(4):576–592
Tapan M, Aboutaha R (2008) Strength evaluation of deteriorated RC bridge columns. J Bridge Eng ASCE 13(3):226–236
Zhang J, Xu SY (2009) Seismic response simulations of bridges considering shear-flexural interaction of columns. Int J Struct Eng Mech 31(5):545–566
Johnson N, Saiidi M, Sanders D (2009) Nonlinear earthquake response modeling of a large-scale two-span concrete bridge. J Bridge Eng ASCE 14(6):460–471
Zhang J, Xu SY, Tang YC (2011) Inelastic displacement demand of bridge columns considering shear-flexure interaction. Earthq Eng Struct Dynam 40(7):731–748
Xu SY, Zhang J (2011) Hysteretic shear-flexure interaction model of reinforced concrete columns for seismic response assessment of bridges. Earthq Eng Struct Dynam 40(3):315–337
Xu SY, Zhang J (2012) Axial-shear-flexure interaction hysteretic model for RC bridge columns under combined actions. Eng Struct 34(1):548–563
Ko YF, Phung C (2014) Nonlinear static cyclic pushover analysis for flexural failure of reinforced concrete bridge columns with combined damage mechanisms. Acta Mech 225:477–492
Cheng H, Li H, Wang D, Sun Z, Li G, Jin J (2016) Research on the influencing factors for residual displacements of RC bridge columns subjected to earthquake loading. Bull Earthq Eng 14:2229–2257
Alkloub A, Allouzi R, Naghawi H (2019) Numerical nonlinear buckling analysis of tapered slender reinforced concrete columns. Int J Civil Eng 17:1227–1240
Cassese P, De Risi MT, Verderame GM (2019) A degrading shear strength model for R.C. columns with hollow circular cross-section. Int J Civil Eng 17:1241–1259
Pokhrel M, Bandelt MJ (2019) Plastic hinge behavior and rotation capacity in reinforced ductile concrete flexural members. Eng Struct 200:109699
Eftekhari M, Karrech A, Elchalakani M (2020) Investigation into the nonlinear time-history analysis of CNT reinforced concrete column by a multiscale approach. Int J Civil Eng 18:49–64
Perdomo C, Monteiro R (2020) Simplified damage models for circular section reinforced concrete bridge Columns. Eng Struct 217:110794
Su J, Li Z, Wang J, Dhakal RP (2020) Numerical simulation and damage analysis of RC bridge piers reinforced with varying yield strength steel reinforcement. Soil Dyn Earthq Eng 130:106007
Sengupta A, Quadery L, Sarkar S, Roy R (2016) Influence of bidirectional near-fault excitations on RC bridge piers. J Bridge Eng 21(7):182–190
Xiang N, Alam MS (2019) Displacement-based seismic design of bridge bents retrofitted with various bracing devices and their seismic fragility assessment under near-fault and far-field ground motions. Soil Dyn Earthq Eng 119:75–90
Jiang L, Zhong J, Yuan W (2020) The pulse effect on the isolation device optimization of simply supported bridges in near-fault regions. Structures 27:853–867
Loh CH, Lee ZK, Wu TC, Peng SY (2000) Ground motion characteristics of the Chi-Chi Earthquake of 21 September 1999. Earthq Eng Struct Dyn 29:867–897
Li S, Zhang F, Wang JQ, Alam MS, Zhang J (2017) Effects of near-fault motions and artificial pulse-type ground motions on super-span cable-stayed bridge systems. J Bridge Eng ASCE 22(3):04016128, 1–17.
Loh CH, Wan S, Liao WI (2002) Effects of hysteretic model on seismic demands: consideration of near-fault ground motions. Struct Des Tall Build 11:155–169
Ansari M, Daneshjoo F, Mohammadi MS (2017) On estimation of seismic residual displacements in reinforced concrete single-column bridges through force-displacement method. Int J Civil Eng 15:473–486
Yi WJ, Zhou Y, Hwang HJ, Cheng ZJ, Hu X (2018) Cyclic loading test for circular reinforced concrete columns subjected to near-fault ground motion. Soil Dyn Earthq Eng 112:8–17
Cao VV (2019) Characterization of near-fault effects on potential cumulative damage of reinforced concrete bridge piers. Int J Civil Eng 17:1603–1618
Xia C, Liu C (2020) Influence of the multi-pulse near-fault earthquake motion on the seismic risk evaluation for reinforced concrete bridge. Nat Hazards 102:759–782
Pang YT, Cai L, Zhong J (2020) Seismic performance evaluation of fiber-reinforced concrete bridges under near-fault and far-field ground motions. Structures 28:1366–1383
Seyed Ardakani SM, Saiid Saiidi M, Somerville P (2021) Residual drift spectra for RC bridge columns subjected to near-fault earthquakes. Earthq Eng Eng Vib 20:193–211
Park R, Paulay T (1975) Reinforced concrete structures. Wiley, New York
Girard C, Bastien J (2002) Finite-element bond-slip model for concrete columns under cyclic loads. J Struct Eng ASCE 128(12):1502–1510
Zhao J, Sritharan S (2007) Modeling of strain penetration effects in fiber-based analysis of reinforced concrete structures. ACI Struct J 104(2):133–141
Gomes A, Appleton J (1997) Nonlinear cyclic stress-strain relationship of reinforcing bars including buckling. Eng Struct 19(10):822–826
Dhakal RP, Maekawa K (2002) Modeling for postyield buckling of reinforcement. J Struct Eng ASCE 128(9):1139–1147
Paulay T, Priestley MJN (1992) Seismic design of reinforced concrete and masonry buildings. Wiley, New York
Mazzoni S, McKenna F, Scott M, Fenves G (2009) Open system for earthquake engineering simulation user command-language manual—OpesnSees Version 2.2.2.f. Pacific Earthquake Engineering Research Center, University of California, Berkeley
Saatcioglu M, Razvi SR (1992) Strength and ductility of confined concrete. J Struct Eng ASCE 118(6):1590–1607
Mander JB, Priestley MJN, Park R (1988) Theoretical stress-strain model for confined concrete. J Struct Div ASCE 114(8):1804–1826
Chang G, Mander J (1994) Seismic energy based fatigue damage analysis of bridge columns: part I—evaluation of seismic capacity. NCEER Technical Report 94-0006
Caltrans Seismic Design Criteria (2013) California Department of Transportation, California
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The author contributed to the study. Material preparation, data collection and analysis were performed by Y-FK. The first draft of the manuscript was written by Y-FK. The author read and approved the final manuscript.
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Ko, YF. Finite Element Analysis of Reinforced Concrete Single-Column Bridge Bent with Flexural Failure Under Near-Fault Ground Motion. Int J Civ Eng 20, 237–256 (2022). https://doi.org/10.1007/s40999-021-00648-2
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DOI: https://doi.org/10.1007/s40999-021-00648-2