Skip to main content
SpringerLink
Log in

Probabilistic Assessment of Strengths of Corrosion-Affected RC Beams

  • Conference paper
  • First Online:
Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012)

  • 2747 Accesses

Abstract

Corrosion of reinforcement causes premature deterioration in reinforced concrete (RC) structures and reduces their intended residual service life. Damages to RC structures due to reinforcement corrosion generally manifest in the form of expansion, cracking and eventual spalling of the cover concrete, loss of steel cross-sectional area and loss of bond between corroded reinforcement and surrounding cracked concrete. These damages may sometime result in structural failure. This chapter initially presents predictive models for time-dependent damages in corrosion-affected RC beams, recognized as loss of mass and cross-sectional area of reinforcing bar and loss of concrete section owing to the peeling of cover concrete. Then these models have been used to present analytical formulations for evaluating time-dependent flexural and shear strengths for corroded RC beams based on the standard composite mechanics expressions for RC sections. Further, by considering variability in the identified basic variables that could affect the time-dependent strengths of corrosion-affected RC beams, an attempt is made in this chapter to present simple estimations for the time-dependent mean strengths and time-dependent coefficient of variation (c.o.v.) associated with the strengths for a typical simply supported RC beam. Comparison of presented simple estimations of mean strengths and c.o.v. associated with strengths has been made with those obtained using Monte Carlo simulation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. ACI (1995) Building code requirement for structural concrete (ACI 318-95) and commentary (ACI 318R-95). American Concrete Institute, Farmington Hills

    Google Scholar 

  2. Andrade C, Alonso C, Molina FJ (1993) Cover cracking as a function of rebar corrosion: part I – experimental test. Mater Struct 26:453–464

    Article  Google Scholar 

  3. Bazant ZP (1979) Physical model for steel corrosion in sea structures – theory. J Struct Div ASCE 105(6):1137–1153

    Google Scholar 

  4. Benjamin JR, Cornell CA (1970) Probability, statistics, and decision for civil engineering. McGraw-Hill, New York

    Google Scholar 

  5. Bhargava K (2008) Time-dependent degradation and reliability assessment of RC structures subjected to reinforcement corrosion, Doctor of Engineering dissertation, Graduate School of Environmental Studies, Nagoya University, Nagoya, Japan

    Google Scholar 

  6. Bhargava K, Ghosh AK, Mori Y, Ramanujam S (2003) Analytical model of corrosion-induced cracking of concrete considering the stiffness of reinforcement. Struct Eng Mech Int J 16(6):749–769

    Google Scholar 

  7. Bhargava K, Ghosh AK, Mori Y, Ramanujam S (2005) Modeling of time to corrosion-induced cover cracking in reinforced concrete structures. Cem Concr Res 35(11):2203–2218

    Article  Google Scholar 

  8. Bhargava K, Ghosh AK, Mori Y, Ramanujam S (2006) Model for cover cracking due to rebar corrosion in RC structures. Eng Struct 28(8):1093–1109

    Article  Google Scholar 

  9. BIS (2000) IS 456: 2000, Indian standard, plain and reinforced concrete – code of practice, 4th Rev, Bureau of Indian Standards, New Delhi, India

    Google Scholar 

  10. CEB–FIP (1990) CEB-FIP model code 1990, Comite Euro-International du Beton-Federation International de la Precontrainte. Thomas Telford, London

    Google Scholar 

  11. Ellingwood B (1977) Statistical analysis of RC beam-column interaction. J Struct Div ASCE 103(ST7):1377–1388

    Google Scholar 

  12. Ellingwood B (1982) Safety checking formats for limit states design. J Struct Div ASCE 108(ST7):1481–1493

    Google Scholar 

  13. Ellingwood BR, Ang AHS (1974) Risk-based evaluation of design criteria. J Struct Div ASCE 100(ST9):1771–1788

    Google Scholar 

  14. Ellingwood B, Hwang H (1985) Probabilistic descriptions of resistance of safety-related structures in nuclear plants. Nucl Eng Des 88:169–178

    Article  Google Scholar 

  15. Enright MP, Frangopol DM (1998) Service-life prediction of deteriorating concrete structures. J Struct Eng ASCE 124(3):309–317

    Article  Google Scholar 

  16. Enright MP, Frangopol DM (1998) Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion. Eng Struct 20(11):960–971

    Article  Google Scholar 

  17. Frangopol DM, Lin KY, Estes AC (1997) Reliability of reinforced concrete girders under corrosion attack. J Struct Eng ASCE 123(3):286–297

    Article  Google Scholar 

  18. Haldar A, Mahadevan S (2000) Reliability assessment using stochastic finite element analysis, 1st edn. Wiley, New York

    Google Scholar 

  19. Hong HP (2000) Assessment of reliability of aging reinforced concrete structures. J Struct Eng ASCE 126(12):1458–1465

    Article  Google Scholar 

  20. Hong HP, Zhou W (1999) Reliability evaluation of RC columns. J Struct Eng ASCE 125(7):784–790

    Article  Google Scholar 

  21. Hwang H, Ellingwood B, Shinozuka M, Reich M (1987) Probability-based design criteria for nuclear plant structures. J Struct Eng ASCE 113(5):925–942

    Article  Google Scholar 

  22. Israel M, Ellingwood B, Corotis R (1987) Reliability-based code formulations for reinforced concrete buildings. J Struct Eng ASCE 113(10):2235–2252

    Article  Google Scholar 

  23. Li CQ (2003) Life cycle modeling of corrosion affected concrete structures – propagation. J Struct Eng ASCE 129(6):753–761

    Article  Google Scholar 

  24. Li CQ, Lawanwisut W, Zheng JJ (2005) Time-dependent reliability method to assess the serviceability of corrosion-affected concrete structures. J Struct Eng ASCE 131(11):1674–1680

    Article  Google Scholar 

  25. Liu Y (1996) Modeling the time to corrosion cracking of the cover concrete in chloride contaminated reinforced concrete structures, Ph.D. dissertation, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA

    Google Scholar 

  26. Liu Y, Weyers RE (1998) Modelling the time-to-corrosion cracking in chloride contaminated reinforced concrete structures. ACI Mater J 95(6):675–681

    Google Scholar 

  27. Mangat PS, Elgarf MS (1999) Flexural strength of concrete beams with corroding reinforcement. ACI Struct J 96(1):149–158

    Google Scholar 

  28. Mckay MD, Bechman RJ, Conover WJ (1979) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2):239–245

    MathSciNet  MATH  Google Scholar 

  29. Mirza SA, MacGregor JG (1979) Variations in dimensions of reinforced concrete members. J Struct Div ASCE 105(ST4):751–766

    Google Scholar 

  30. Mirza SA, MacGregor JG (1979) Variability of mechanical properties of reinforcing bars. J Struct Div ASCE 105(ST5):921–937

    Google Scholar 

  31. Mirza SA, Hatzinikolas M, MacGregor JG (1979) Statistical description of strength of concrete. J Struct Div ASCE 105(ST6):1021–1037

    Google Scholar 

  32. Ranganathan R (2000) Structural reliability analysis and design, second Jaico impression. Jaico Publishing House, Mumbai

    Google Scholar 

  33. Rasheeduzzafar ASM, Al-Saadoun SS, Al-Gahtani AS (1992) Corrosion cracking in relation to bar diameter, cover and concrete quality. J Mater Civ Eng ASCE 4(4):327–343

    Article  Google Scholar 

  34. Rodriguez J, Ortega LM, Casal J (1997) Load carrying capacity of concrete structures with corroded reinforcement. Constr Build Mater 11(4):239–248

    Article  Google Scholar 

  35. SP16 (1980) Design aids for reinforced concrete to IS: 456-1978. Bureau of Indian Standards, New Delhi

    Google Scholar 

  36. Stewart MG, Rosowsky DV (1998) Time-dependent reliability of deteriorating reinforced concrete bridge decks. Struct Saf 20:91–109

    Article  Google Scholar 

  37. Thoft-Christensen P (1998) Assessment of the reliability profiles for concrete bridges. Eng Struct 20(11):1004–1009

    Article  Google Scholar 

  38. Torres-Acosta AA (1999) Cracking induced by localized corrosion of reinforcement in chloride contaminated concrete, Ph.D. dissertation, Department of Civil and Environmental Engineering, University of South Florida, Tampa, Florida, USA

    Google Scholar 

  39. Val DV, Stewart MG, Melchers RE (1998) Effect of reinforcement corrosion on reliability of highway bridges. Eng Struct 20(11):1010–1019

    Article  Google Scholar 

  40. Vu KAT, Stewart MG (2000) Structural reliability of concrete bridges including improved chloride-induced corrosion models. Struct Saf 22:313–333

    Article  Google Scholar 

  41. Vu KAT, Stewart MG (2005) Predicting the likelihood and extent of reinforced concrete corrosion-induced cracking. J Struct Eng ASCE 131(11):1681–1689

    Article  Google Scholar 

Download references

Acknowledgement

The first author gratefully acknowledges the financial support provided by Japan Society for the Promotion of Science under JSPS RONPAKU Dissertation Ph.D. programme for pursuing Ph.D. at Nagoya University, Nagoya, Japan.

Author information

Authors and Affiliations

  1. Architecture & Civil Engineering Division, Bhabha Atomic Research Center, Mumbai, India

    Kapilesh Bhargava

  2. Graduate School of Environmental Studies, Nagoya University, Nagoya, Japan

    Yasuhiro Mori

  3. Health Safety and Environment Group, Bhabha Atomic Research Center, Mumbai, India

    A. K. Ghosh

Authors
  1. Kapilesh Bhargava
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yasuhiro Mori
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. K. Ghosh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kapilesh Bhargava .

Editor information

Editors and Affiliations

  1. , Civil Engineering, Bengal Engineering and Science Univ., Botanic Garden, Howrah, India

    Subrata Chakraborty

  2. Bengal Engineering and Science Univ., Howrah, India

    Gautam Bhattacharya

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer India

About this paper

Cite this paper

Bhargava, K., Mori, Y., Ghosh, A.K. (2013). Probabilistic Assessment of Strengths of Corrosion-Affected RC Beams. In: Chakraborty, S., Bhattacharya, G. (eds) Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012). Springer, India. https://doi.org/10.1007/978-81-322-0757-3_23

Download citation

  • DOI: https://doi.org/10.1007/978-81-322-0757-3_23

  • Published:

  • Publisher Name: Springer, India

  • Print ISBN: 978-81-322-0756-6

  • Online ISBN: 978-81-322-0757-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation