Cylindrical Piers
Table 1: Cylindrical Piers: Limit state thresholds in terms of drift
Engineering Demand Parameter: Drift (%) | |||||
---|---|---|---|---|---|
References | Limit States | Threshold Values | Description | Loading Type | Specimen Characteristics |
ACI 341.4R-16 (2016) | LS1 | Minor flexural cracks | Cyclic tests and field observations | Similar to Goodnight et al. (2016) | |
LS2 | Concrete cover spalling, yielding of longitudinal reinforcement | ||||
LS3 | Buckling of longitudinal reinforcement or/and fracture of transverse reinforcement, partial crushing of concrete core | ||||
2.Banerjee, S. and Shinozuka, M. (2007) | LS1 | Minor damage | Nonlinear Time- history analysis of bridge system | D = 2.4m L = 21m | |
LS2 | Moderate damage | ||||
LS3 | Major damage | ||||
LS4 | Collapse | ||||
Berry, M. and Eberhard, M. (2003) | LS3 | Buckling of longitudinal reinforcement | Cyclic loading | ||
LS2 | Concrete cover spalling | ||||
Berry (2006) | LS3 | Buckling of longitudinal reinforcement | Cyclic loading | ||
Goodnight, C., Kowalski, M., Nau, J. (2016), circular columns | LS3 | Buckling of longitudinal reinforcement | Cyclic loading or real seismic load histories | ||
Kim, S. H. and Feng, M. Q. (2003) | LS1 | First yield of longitudinal reinforcement | - | - | |
LS2 | Concrete cracking, spalling | ||||
LS3 | Initiation of column collapse | ||||
LS4 | Column collapse | ||||
Kwon, O. S., Elnashai, A. S. (2010) | LS1 | First yield of steel reinforcement | Pushover analysis of bridge system | ||
LS2 | Achievement of global maximum strength | ||||
LS3 | Core concrete strain of 0.01 | ||||
Lopez, A., Dusicka, P., Bazaez, R. (2020), 1970s design in USA | LS1 | Concrete cracking | Shake table | ||
Buckling of longitudinal reinforcement | |||||
LS2 | Concrete cover spalling | ||||
LS3 | Extended spalling of concrete cover. | ||||
Buckling of longitudinal reinforcement or concrete core crushing | |||||
Mackie, K. R. and Stoiadinovic, B. (2007) | LS2 | Concrete cover spalling | LS2 and LS3 were adopted from Berry and Eberhard (2003), LS4 was calculated based on experimental data, through regression | Similar to Berry and Eberhard (2003) | |
LS3 | Buckling of longitudinal reinforcement | ||||
LS4 | Collapse | ||||
Sheikh, S. A. and Yau, G. (2002) | LS2 | Spalling of concrete cover | Cyclic loading | ||
LS3 | Yielding of spiral/ bucking of long. bars | ||||
References
- ACI Committee 341 (2016). ACI 341.4R-16 Report on the Seismic Design of Bridge Columns Based on Drift, ISBN: 978-1-945487-02-6.
- Banerjee, S. and Shinozuka, M. (2007). Nonlinear Static Procedure for Seismic Vulnerability Assessment of Bridges, Computer-Aided Civil and Infrastructure Engineering, Vol. 22, pp 293-305, https://doi.org/10.1111/j.1467-8667.2007.00486.x.
- Berry, M., Eberhard, M. (2003). Performance Models for Flexural Damage in Reinforced Concrete Columns, Report PEER 2003/18, Department of Civil and Environmental Engineering, University of Washington.
- Berry, M. P., (2006). Performance Modeling Strategies for Modern Reinforced Concrete Bridge Columns, PhD. Thesis, University of Washington, Seattle, WA.
- Goodnight, J. C., Kowalsy, M. J., Nau, J. M. (2016). Strain Limit States for Circular RC Bridge Columns, Earthquake Spectra, Vol. 32, No. 3., pp 1627-2652, doi.org/10.1193%2F030315EQS036M.
- Kim, S. H. and Feng, M. Q. (2003). Fragility analysis of bridges under ground motion with spatial variation, International Journal of Non-Linear Mechanics, Vol. 38, pp 705-721, https://doi.org/10.1016/S0020-7462(01)00128-7.
- Kwon, O. S. and Elnashai, S. (2010). Fragility analysis of a highway over-crossing bridge with consideration of soil–structure interactions, Structure and Infrastructure Engineering, Vol. 6, Nos. 1-2, pp 159-178, https://doi.org/10.1080/15732470802663870.
- Lopez, A., Dusicka, P., Bazaez, R. (2020). Performance of seismically substandard bridge reinforced concrete columns subjected to subduction and crustal earthquakes, Engineering Structures, https://doi.org/10.1016/j.engstruct.2020.110216.
- Mackie, K. R., & Stojadinović, B. (2007). R-Factor Parameterized Bridge Damage Fragility Curves. Journal of Bridge Engineering, ASCE, 12(4), 500-510, https://doi.org/10.1061/(ASCE)1084-0702(2007)12:4(500)
- Sheikh, S. A. and Yau, G. (2002). Seismic Behavior of Concrete Columns Confined with Steel and Fiber-Reinforced Polymer, ACI Structural Journal, Vol. 99, No. 1, pp 72 – 80, https://doi.org/10.14359/11037.
Table 2: Cylindrical Piers: Limit state thresholds in terms of displacement ductility
Engineering Demand Parameter: Displacement ductility (μd) | |||||
---|---|---|---|---|---|
References | Limit States | Threshold Values | Description | Loading Type | Specimen Characteristics |
Choi et al. (2004) | LS1 | Minor spalling | Adopted damage criteria for fragility analysis from soa | - | |
LS2 | Moderate cracking and spalling | ||||
LS3 | Extensive damage | ||||
LS4 | Complete damage | ||||
Lopez, A., Dusicka, P., Bazaez, R. (2020), 1970s design in USA | LS1 | Cracking of concrete | Shake table | ||
Yielding of longitudinal reinforcement | |||||
LS2 | Spalling of concrete cover | ||||
LS3 | Extended spalling of concrete cover | ||||
Buckling of longitudinal reinforcement or crushing of concrete core | |||||
Zhang, J. and Huo, Y. (2009) | LS1 | Effective Yield | Adopted damage criteria for fragility analysis from soa | - | |
LS2 | Spalling of concrete cover | ||||
LS3 | Collapse |
References
- Choi, E., DesRoches, R., Nielson, B. (2004). Seismic fragility of typical bridges in moderate seismic zones, Engineering Structures, Vol. 26, pp 187-199, https://doi.org/10.1016/j.engstruct.2003.09.006.
- Lopez, A., Dusicka, P., Bazaez, R. (2020). Performance of seismically substandard bridge reinforced concrete columns subjected to subduction and crustal earthquakes, Engineering Structures, https://doi.org/10.1016/j.engstruct.2020.110216.
- Zhang, J. and Huo, Y. (2009). Evaluating effectiveness and optimum design of isolation devices for highway bridges using the fragility function method, Engineering Structures, Vol. 31, pp 1648-1660, https://doi.org/10.1016/j.engstruct.2009.02.017.
Table 3: Bridge bents with cylindrical Piers: Limit state thresholds in terms of drift
Engineering Demand Parameter: Drift (%) | |||||
---|---|---|---|---|---|
References | Limit States | Threshold Values | Description | Loading Type | Specimen Characteristics |
Bazaez, R. and Dusicka, P., (2018), 1950-1970 design USA | LS1 | Concrete cracking | Cyclic loading | ||
Yielding of the first longitudinal reinforcement | |||||
Yielding of longitudinal reinforcement | |||||
LS2 | Concrete cover spalling | ||||
LS3/LS4 | Buckling of longitudinal reinforcement or crushing of concrete core | ||||
LS3 | Buckling of longitudinal reinforcement followed by bar fracture | ||||
LS1-LS2 | Cracks 1.5 mm wide (for design without EC8 )and 0.9 mm wide (EC8 compliant design) | ||||
LS2 | Cracks of width > 1.5, concrete cover spalling | ||||
LS3 | Extended concrete spalling |
References
- Bazaez, R. and Dusicka, P. (2018). Performance assessment of multi-column RC bridge bents seismically retrofitted with buckling-restrained braces, Bulleting of Earthquake Engineering, Vol. 16, pp 2135-2160 https://doi.org/10.1007/s10518-017-0279-3
Table 4: Bridge bents with cylindrical Piers: Limit state thresholds in terms of displacement ductility
Engineering Demand Parameter: Displacement ductility (μd) | |||||
---|---|---|---|---|---|
References | Limit States | Threshold Values | Description | Loading Type | Specimen Characteristics |
Bazaez, R. and Dusicka, P., (2018), 1950-1970 design USA | LS1 | Cracking of concrete | Cyclic loading | ||
First yielding of longitudinal reinforcement | |||||
Yielding of longitudinal reinforcement | |||||
LS2 | Spalling of concrete cover | ||||
LS3/LS4 | Buckling of longitudinal reinforcement or crushing of concrete core |
References
- Bazaez, R. and Dusicka, P. (2018). Performance assessment of multi-column RC bridge bents seismically retrofitted with buckling-restrained braces, Bulleting of Earthquake Engineering, Vol. 16, pp 2135-2160, https://doi.org/10.1007/s10518-017-0279-3