System-Based Reliability Analysis Of The Preventive Maintenance Strategies Of A Reinforced Concrete Bridge

  • A. Ocholi Department of Civil Engineering Ahmadu Bello University, Zaria.
  • L.D. Nyihemba Federal Roads Maintenance Agency(FERMA) Headquarters, 163 Aminu Kano Crescent Wuse 2 Abuja.
  • S.P. Ejehl Department of Civil Engineering Ahmadu Bello University, Zaria.
  • I. Abubakar Department of Civil Engineering Ahmadu Bello University, Zaria.
Keywords: Concrete bridge, Corrosion rate, Preventive maintenance, System reliability index

Abstract

system-based time-dependent reliability analysis was carried out over the service life of a reinforced concrete bridge using a MATLAB program, BRELA (BRidge RELiability Analysis). Component reliability analysis for the bridge members was evaluated using a built-in MATLAB based sub program in BRELA and the system reliability index “βsys” calculated over time using the system reliability analysis component of the main program. The bridge was modelled as a hybrid/combined system (series-parallel subsystems). Nineteen (19) failure modes for the bridge components were identified and their limit state functions incorporating load growth and deterioration models of the steel reinforcement due to corrosion were developed. The result of the system reliability analysis shows a system performance loss of 25.65–100% as corrosion rate increased from 0–0.06 mm/year for a load growth rate of 0.5%. Considering several realistic preventive maintenance options and their associated costs, the reinforced concrete bridge is maintained by ensuring that the commencement of preventive maintenance measures is a function of the deterioration rate and the target performance level. For a target system reliability index of 3.0 with a load growth of 0.5%, preventive measures have to be implemented around 30, 25 and 20 years after construction for corrosion rates of 0.02, 0.04 and 0.06 mm/year respectively.

Author Biographies

A. Ocholi, Department of Civil Engineering Ahmadu Bello University, Zaria.

Department of Civil Engineering Ahmadu Bello University, Zaria.

L.D. Nyihemba, Federal Roads Maintenance Agency(FERMA) Headquarters, 163 Aminu Kano Crescent Wuse 2 Abuja.

Federal Roads Maintenance Agency(FERMA) Headquarters, 163 Aminu
Kano Crescent Wuse 2 Abuja.

S.P. Ejehl, Department of Civil Engineering Ahmadu Bello University, Zaria.

Department of Civil Engineering Ahmadu Bello University, Zaria.

I. Abubakar, Department of Civil Engineering Ahmadu Bello University, Zaria.

Department of Civil Engineering Ahmadu Bello University, Zaria.

References

Ang, A.H.S and Tang, W.H., Probability Concept in Engineering,2nd Edition. John Wiley & Sons, Hoboken, NJ, USA., 2007.
ASCE, Report Card for America’s Infrastructure. American Society of Engineers,2013
Ayyub, B. M. and McCuen, R. H., Probability, Statistics and Reliability for Engineers. CRC Press, New York, 1997.
Bigaud, D.; Ali, O.; Charki, A., Time Variant Flexural Reliability of Reinforced Concrete Highway Bridges Strengthened by Means of Carbon Fiber Reinforced Polymer. International Journal of Engineering Science and Innovative Technology (IJESIT), Vol. 3 issue 6., 2014.
Biondini, F. and Frangopol, D. M., Life-Cycle Performance of Structural Systems: A Review. Journal of Structural Engineering, ASCE., 2014.
Bordallo-Ruiz, A., McNally, C., Caprani, C. C., Colin, C. and O’Brien, E. J., The Structural Reliability of Bridges Subject to Time-Dependent Deterioration B.H.V. Topping. (ed.). Proceedings of the Eleventh International Conference on Civil, Structural and Environmental Engineering Computing. Civil-Comp Press., 2007.
Chen, H. P. and Alani, A., Optimized Maintenance Strategy for Concrete Structures Affected by Cracking due to Reinforcement Corrosion. ACI Structures Journal, 110(2): pp. 229-238., 2013.
Cole, R., Funding for Bridge Maintenance, Proceeding of the 8th Annual Surveyor Bridges Conference on Bridges 2000: Bridge Management- The Art and Science, Surveyor, London, CD-ROM Proceedings, 2000.
Das, P. C., Development of a Comprehensive Structures Management Methodology, the Highways Agency, Proc. of the Management of Highway Structures, Editor: Das, P. C., Thomas Telford, London, June, pp. 49-60., 1999.
EN 1990., Eurocode-Basis of Structural Design, CEN Brussels, 2002. EN 1992-1-1., Eurocode 2 Design of concrete Structures. Part 1-1 General Rules and Rules for Buildings,CEN Brussels, 2004.
Estes A. C. and Frangopol D. M., Repair Optimization of Highway Bridges Using System Reliability Approach. Journal of Structural Engineering, 125(7): pp. 766-775., 1999.
Estes A. C. and Frangopol D. M., Load Rating Versus Reliability Analysis. Journal of Structural Engineering, 131(5): pp. 843-847., 2005.
Frangopol, D. M. and Ellingwood, B. R. (2010). Life-Cycle Performance, Safety, Reliability and Risk of Structural Systems, Editorial, Structure Magazine, Joint Publication of NCSEA, CASE, SEI., 2005.
Frangopol, D. M., Thoft-Christensen, P., Das, P. C., Wallbank, J. and Roberts, M. B., Optimum Maintenance Strategies for Highway Bridges. Proc. of the International Conference on Current and Future Trends in Bridge Design
Construction and Maintenance: Safety, Economy, Sustainability and Aesthetics, Editors: Das, P. C.; Frangopol, D. M. and Nowak, A. S., Thomas Telford Ltd, London, October, pp. 540-550., 1999.
Ghodoosipoor, F., Development of Deterioration Models for Bridge Decks Using System Reliability Analysis. Ph.D. Dissertation, Department of Building, Civil and Environmental Engineering, Concordia University, Montreal, Quebec, Canada., 2013.
Gollwitzer, S., Addo, T. and Rackwitz, R. O., First Order Reliability Method User’s Guide. Munich, Germany., 1988.
Gonzalez, J. A., Andrade, C. Alonso, C. and Feliu, S.,Comparison of Rates of General Corrosion and Maximum Pitting Penetration on Concrete Embedded Steel Reinforcement. Cement and Concrete Research. 25(2): pp. 257-264., 1995.
Hasofer, A. M. and Lind, N. C., An Exact and Invariant First-Order Reliability Format. Journal of Engineering Mechanics, ASCE 100: pp. 111-121., 1974.
James, R. W., Stukhart, G., Garcia-Diaz, A., Bligh, R. and Sobanjo, J., Analytical Approach to the Development of a Bridge Management System, Transportation research Record 1290: pp. 157-170., 1991.
Jinquan, Z. and Baidurya, B., A System Reliability Based Design Equation for Steel Girder Highway Bridges, Journal of Structural Engineering, 34(4): pp. 284-290., 2007.
Koh, B. H and Dyke, S. J., Structural Health Monitoring for Flexible Bridge Structures Using Correlation and Sensitivity of Model Data. Computer and Structures, 85(3-4): pp. 117-130., 2007.
Leira, B. J. and Lindgard, J., Statistics Analysis of Laboratory Test Data for Service Life Prediction of Concrete Subjected to Chloride Ingress. International Conference on Applications of Statistics and Probability, Sydney, Rotterdam; Balkema, pp. 291-295., 2000.
Li, Q. W., Wang, C. and Ellingwood, B. R., Time Dependent reliability of Aging Structures in the Presence of Non-Stationary Loads and Degradation. Structural Safety, 52: pp. 132-141., 2015.
MATLAB, Matlab version 8.2.0 701 Release 2013b for Windows. The MATHWORKS, 2013.
McGee, R.W., Modeling of Durability Performance of Tasmanian bridges, In Proceeding of ICASP8 Applications of Statistics and Probability in Civil Engineering, Sydney A.A, Balkema, pp 297-306., 2000.
Mori, Y. and Ellingwood, B. R., Reliability-Based Service-Life Assessment of Aging Concrete Structures, Journal of Structural Engineering, 119(5): pp.1600-1621., 1993.
Moses, F., Structural Reliability Developments in Structural Engineering. Structural Safety, pp. 3-13., 1982.
NCHRP, Manual on Service Life of Corrosion-Damage Reinforced Concrete Bridge Structure Elements. National Cooperative Highway Research Program, Report 558, Transportation Research Board, Washington, D.C., 2006.
Nepal, J. and Chen, H. P., Risk-Based Optimum Repair Planning of Corroded Reinforced Concrete Structures. Structural Monitoring and Maintenance, 2(2): pp.133-143., 2015.
Nowak, A. S., System Reliability Models for Bridge Structures. Bulletin of the Polish Academy of Science Technical Sciences, 52(4): pp. 321-328., 2004.
Nowak, A. S. and Zhou, J., System Reliability Models for Bridges. Structural Safety, 7: pp. 247-254. Elsevier., 1990.
O Brien, E. J., Bordallo-Ruiz, A. and Enright, B., Lifetime Maximum Load Effects on Short-Span Bridges Subject to Growing Traffic Volumes. Structural Safety, 50: pp. 113-122., 2014.
Papadakis, V. G., Roumeliotis, A. P., Fardis, M. N. and Vegenas, C. G., Mathematical Modeling of Chloride Effect on Concrete Durability and Protection Measures. In Dhir R.K., Jones M.R., editors. Concrete Repair, Rehabilitation and Protection, London (UK): E&FN Spon, pp. 165-174., 1996.
Papakonstantinou, K. G. and Shinozuka, M. Probabilistic Models for Steel Corrosion in Reinforced Concrete Structures of Large Dimensions Considering Crack Effects. Engineering Structures, 57: pp. 306-326., 2013.
Patev, R. C., Schaaf, D. M. and James, R. M., Time-Dependent Reliability for Structures Subjected to Alkali-Aggregate Reaction. In Proceedings of 9th United Engineering Foundation Conference, California Reston: ASCE, pp. 152-163., 2000.
Rendell, F., Jauberthie, R. and Gratham, M., Deterioration of Concrete. Deteriorated Concrete: Inspection and Physicochemical analysis. London, Thomas Telford, pp. 29-54., 2002.
Sepehr, H., Algorithmic Component and System Reliability Analysis of Truss Structures. MSc Thesis, Department of Civil Engineering, University of Stellenbosch, South Africa., 2013.
Sommer, A., Nowak, A. S. and Christensen, P. T., Probability Based Bridge Inspection Strategy. Journal of Structural Engineering, 119(12): pp. 3520-3536., 1993.
Sykora, M., Holicky, M. and Markova, J., Target Reliability Levels for Assessment of Existing Structures. M. H. Faber, J. Kohler and K. Nishijima, eds. In: Proc. ICASP11, 1-4 August 2011. CRC press/Balkema, pp. 1048-1056., 2011.
Tantele, E. A., Optimisation of preventative Maintenance Strategies for Reinforced Concrete Bridges. Doctoral Dissertation, Department of Civil Engineering, University of Surrey, UK., 2005.
Tantele, E. A. and Onoufriou, T., Strategic Planning of Preventive Maintenance for Reinforced Concrete Bridges. In: 3rd International ASRANet Colloquium 10 – 12th July, Glasgow, UK.,2006.
Tantele, E. A., Votsis, R. A. and Onoufriou, T., Sensitivity Analysis of key Parameters in Decision Making of Two-Stage Evolutionary Optimization Maintenance Strategies. Open Journal of Civil Engineering, 4: pp. 338-352., 2014.
Tilly, G. P. and Jacobs, J., Concrete Repairs-Performance in Service and Current Practice, IHS BRE Press, Willough by Road UK., 2007.
Unterweger, W. and Nigge, K., Corrosion in Concrete Bridge Girders, School of Doctoral Studies (European Union) Journal No.1., Wang, R. (2012). Integrated Health Predicting of Bridge System Using Dynamic Object-Oriented Bayesian Networks (DOOBNS). Doctoral Dissertation, CRC for Infrastructure and Engineering Asset Management, Queensland University of Technology., 2009.
Published
2019-11-01
How to Cite
Ocholi, A., Nyihemba, L., Ejehl, S., & Abubakar, I. (2019). System-Based Reliability Analysis Of The Preventive Maintenance Strategies Of A Reinforced Concrete Bridge. Ife Journal of Technology, 26(1), 57-67. Retrieved from http://ijt.oauife.edu.ng/index.php/ijt/article/view/148