Reliability analysis and uncertainty evaluation for assessing low velocity car impacted cosmetic damage of prototyped RC bridge pier

  • Suman Roy Department of Civil and Environmental Engineering, Utah State University, Logan, UT 84322, USA
Ariticle ID: 623
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Keywords: low velocity car crash; determination of λ; RRM to determine post impact reduced capacities; a new factor to correlate probabilistic and deterministic approaches; and percent damage

Abstract

Crashworthiness of low velocity vehicles with reinforced concrete (RC) bridge pier has become widespread scenario that warrants a continuous threat on the structural viability. Even, low velocity small car collisions creates a short duration quasi-static to dynamic effect in different damage levels from low and cosmetic to collapse, depending on energy dissipation, not generally considered in design practices, making the piers susceptible to various level of damage. Bridge piers do not always collapse upon impact, and some are kept in service without pertinent health examinations that warrant serviceability. Unfortunately, little attention has been provided to keep the post impact low to medium distressed piers in service. Medium to higher damage need a complete replacement, whereas the low to cosmetic damage needs an additional meticulous investigation. This study is an attempt to assess cosmetic damage and residual capacities of RC pier via pendulum impacts to replicate low velocity car crash scenarios. To investigate post impact performance, experimental results are captured and transformed into realistic crash scenarios. Deterministic analysis via dynamic increase factor (DIF) approach to evaluate damage index (λ) and probabilistic method via resistance reduction method (RRM) to capture the uncertainties are performed in determining residual and reduced capacity of the representative pier. To identify damage incurred from collision and identify the probability of failure (Pf), a limit state (LS) equation has been developed comprising impact load and resistance and utilized as a model to estimate reliability index (β). Both the models used are able to precisely capture reduced capacities providing a good agreement between the shear and the axial capacity which control primary resistance of the impact loads and principal serviceability respectively. This study will provide an aid to forensic structural engineers.

References

Cook W. Bridge Failure Rates, Consequences, and Predictive Trends [PhD thesis]. Utah State University. 2014; p. 116.

Wiacek C, Nagabhushana V, Rockwell T, et al. Evaluation of frontal crash stiffness measures from the US New car assessment program. In: Proceedings of the ESV Conference; 2015; Seoul, South Korea.

Der Kiureghian A. Analysis of structural reliability under parameter uncertainties. Probabilistic Engineering Mechanics. 2008; 23(4): 351–358.

Malvar LJ, Crawford JE. Dynamic increase factors for concrete. In: Proceedings of the 28th DDESB Seminar; September 1998; Orlando.

Sharma H, Hurlebaus S, Gardoni P. Performance-based response evaluation of reinforced concrete columns subject to vehicle impact. International Journal of Impact Engineering. 2012; 43: 52-62. doi: 10.1016/j.ijimpeng.2011.11.007

Auyeung S, Alipour A, Saini D. Performance-based design of bridge piers under vehicle collision. Engineering Structures, Elsevier. 2019; 191: 752–765.

Zhou D, Li R. Damage assessment of bridge piers subjected to vehicle collision. Advances in Structural Engineering. 2018a; 21(15), 2270–2281.

Buth CE, Brackin MS, Williams WF, Fry GT. Collision Loads on Bridge Piers: Phase 2. Report of Guidelines for Designing Bridge Piers and Abutments for Vehicle Collisions. 2011.

Alipour A, Shafei B, Shinozuka M. Reliability-Based Calibration of Load and Resistance Factors for Design of RC Bridges under Multiple Extreme Events: Scour and Earthquake. Journal of Bridge Engineering. 2012; 18(5).

Engineers AS. Minimum Design Loads for Buildings and Other Structures (ASCE/SEI 7-10). American Society of Civil Engineers; 2013.

Mander JB., Priestley MJ, Park R. Theoretical stress-strain model for confined concrete. Journal of Structural Engineering (United States). 1988; 114(8): 1804–1826.

Malvar LJ, Crawford JE. Dynamic increase factors for steel reinforcing bars. In: Proceedings of the 28th DDESB Seminar; 1998; Orlando, USA.

Roy S, Sorensen A. A Reliability Based Crack Propagation Model for Reinforced Concrete Bridge Piers Subject to Vehicle Impact. In: Proceedings of the 18th International Probabilistic Workshop: IPW 2020.

Ameli MJ, Pantelides CP. Seismic analysis of precast concrete bridge columns connected with grouted splice sleeve connectors. Journal of Structural Engineering, American Society of Civil Engineers. 2017; 143(2): 4016176.

Federal Highway Administration. Concrete Bridge Shear Load Rating Synthesis Report. Available online: https://www.fhwa.dot.gov/bridge/loadrating/pubs/hif18061.pdf (accessed on 12 May 2024).

ACI. ACI 318-11: Building Code Requirements for Structural Concrete. American Concrete Institute; 2011.

ACI committee 318. Building code requirements for structural plain concrete (ACI 318.1-83) and commentary. International Journal of Cement Composites and Lightweight Concrete. 1985; 7(1); 60.

AFDC. Vehicle Weight Classes & Categories. Alternative Fuels Data Centre, U.S. Department of Energy; 2018.

Birely AC, Yole KJ, Lee JD, et al. Experimental behavior of reinforced concrete and pretensioned concrete bent caps. Journal of Bridge Engineering, American Society of Civil Engineers. 2020; 25(2): 4019137.

Thomas RJ, Steel K, Sorensen AD. Reliability analysis of circular reinforced concrete columns subject to sequential vehicular impact and blast loading. Engineering Structures. 2018; 168: 838-851. doi: 10.1016/j.engstruct.2018.04.099

Vrouwenvelder T. Stochastic modelling of extreme action events in structural engineering. Probabilistic Engineering Mechanics. 2000; 15(1): 109–117.

Zhou D, Li R, Wang J, Guo C. Study on Impact Behavior and Impact Force of Bridge Pier Subjected to Vehicle Collision. Shock and Vibration. 2017; 1–12.

Roy S, Unobe I, Sorensen AD. Vehicle-Impact Damage of Reinforced Concrete Bridge Piers: S State-of-the Art Review. J. Perform. Constr. Facil., American Society of Civil Engineers. 2021; 35(5): 03121001.

Roy S, Unobe ID, Sorensen AD. Reliability assessment and sensitivity analysis of vehicle impacted reinforced concrete circular bridge piers. Structures, Elsevier. 2022; 37: 600–612.

Roy S, Sorensen A. Energy Based Model of Vehicle Impacted Reinforced Bridge Piers Accounting for Concrete Contribution to Resilience. In: Proceedings of the 18th International Probabilistic Workshop: IPW 2020. p. 301.

Roy S. Sustainability and Resiliency Investigation of Grouted Coupler Embedded in RC ABC Bridge Pier at Vehicle Impact, Engineering and Applied Sciences. 9(2024): 14–33. doi: https://doi.org/10.11648/j.eas.20240901.12

AASHTO. Guide Specifications for LRFD Seismic Bridge Design, 2nd ed. American Association of State Highway and Transportation Officials; 2011.

AASHTO M145-91. American Association of State Highway and Transportation Officials. Classification of Soils and Soil-Aggregate Mixtures for Highway Construction Purposes. American Association of State Highway and Transportation Officials; 2008. p. 9.

Cowper G, Symonds P. Strain hardening and strain-rate effects in the impact loading of cantilever beam. Brown University Division of Applied Mathematics; 1957. pp. 1–46.

Feyerabend M. Hard transverse impacts on steel beams and reinforced concrete beams. University of Karlsruhe (TH), Germany; 1988.

Shi Y, Hao H, Li ZX. Numerical derivation of pressure-impulse diagrams for prediction of RC column damage to blast loads. International Journal of Impact Engineering. 2008; 35(11): 1213-1227. doi: 10.1016/j.ijimpeng.2007.09.001

Ayyub BM, McCuen RH. Probability, statistics, and reliability for engineers and scientists. CRC press; 2016.

Bathurst RJ, Allen TM, Nowak AS. Calibration concepts for load and resistance factor design (LRFD) of reinforced soil walls. Canadian Geotechnical Journal. 2008; 45(10): 1377–1392.

Nowak AS, Collins KR. Reliability of Structures. CRC Press; 2012. doi: 10.1201/b12913

Dietenberger M, Buyuk M, Kan CD. Development of a High Strain-Rate Dependent Vehicle Model. LS-DYNA Anwenderforum. 2005.

Schultz GG, Seegmiller L. Utah Commercial Motor Vehicle Weigh-in-Motion Data Analysis and Calibration Methodology. Engineering, Environmental Science. 2006.

Joshi AS, Gupta LM. A simulation study on quantifying damage in bridge piers subjected to vehicle collisions. International Journal of Advanced Structural Engineering. SpringerOpen. 2012; 4(1).

Mestrovic D, Cizmar D, Miculinic L. Reliability of concrete columns under vehicle impact. In: WIT Transactions on the Built Environment. WIT Press; 2008. doi: 10.2495/su080161

Holman JP. Experimental methods for engineers, 6th ed. McGraw-Hill; 1994.

Published
2024-09-29
How to Cite
Roy, S. (2024). Reliability analysis and uncertainty evaluation for assessing low velocity car impacted cosmetic damage of prototyped RC bridge pier. Insight - Civil Engineering, 7(1), 623. https://doi.org/10.18282/ice.v7i1.623
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Articles