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Evaluation of the EC8-3 confidence factors for the characterization of concrete strength in existing structures

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An Erratum to this article was published on 28 August 2012

Abstract

A probabilistic framework is defined to evaluate the values of the Confidence Factors (CFs) proposed in Eurocode 8 Part 3 (EC8-3) for the characterization of material properties. This evaluation is presented for the concrete compressive strength but its validity for other material properties can also be inferred from the results obtained. The number of material tests and the existence of prior knowledge are the essential aspects for the CF quantification. The probabilistic framework proposed in the first part of the study does not consider the existence of prior knowledge and is based on the concept of confidence intervals. In the second part of the study, the effects of prior knowledge are considered using a Bayesian framework. The combination of testing data obtained from different types of tests is also addressed as an extension of the referred Bayesian approach. Results indicate that the EC8-3 proposed CFs for KL1 and KL2 are adequate, but for KL3 it is suggested that a larger value should be used.

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References

  1. Melchers RE (2001) Assessment of existing structures: approaches and research. ASCE J Struct Eng 127(4):406–411

    Article  Google Scholar 

  2. Dimitri VV, Stewart MG (2002) Safety factors for assessment of existing structures. ASCE J Struct Eng 128(2):258–265

    Article  Google Scholar 

  3. Krinitzsky EL (1993) Earthquake probability in engineering: Part 1. The use and misuse of expert opinion. Eng Geol 33(4):257–288

    Article  Google Scholar 

  4. ENV 1998-3 (2005) Eurocode 8: design of structures for earthquake resistance-Part 3: Assessment and retrofitting of buildings. European Committee for Standardization

  5. NTC (2008) Norme Tecniche per le Costruzioni. Decreto del Ministero delle infrastrutture, Supplemento Ordinario n.30 alla Gazzetta Ufficiale della Repubblica italiana n.29 del 4/02/2008, Italy (in Italian)

  6. ASCE (2007) Seismic rehabilitation of existing buildings (ASCE/SEI 41-06). American Society of Civil Engineers, Reston, Virginia, USA

  7. Franchin P, Pinto PE, Rajeev P (2008) Assessing the adequacy of a single Confidence Factor in accounting for epistemic uncertainty. In: Cosenza E, Manfredi G, Monti G (eds) Valutazione e riduzione della vulnerabilità sismica di edifici esistenti in cemento armato. Polimetrica s.a.s. International Scientific Publisher, Monza

    Google Scholar 

  8. Franchin P, Pinto PE, Rajeev P (2009) Confidence in the confidence factor. Convegno Finale del Progetto ReLuis-DPC. Naples, Italy

  9. Monti G, Alessandri S (2009) Application of Bayesian techniques to material strength evaluation and calibration of confidence factors. Convegno Finale del Progetto ReLuis-DPC, Naples, Italy

  10. Elefante L (2009) Dealing with uncertainties in the assessment of existing RC buildings. PhD Thesis, Università degli Studi di Napoli Federico II, Naples, Italy

  11. Franchin P, Pinto PE, Rajeev P (2010) Confidence factor? J Earthq Eng 14(7):989–1007

    Article  Google Scholar 

  12. Jalayer F, Elefante L, Iervolino I, Manfredi G (2011) Knowledge-based performance assessment of existing RC buildings. J Earthq Eng 15(3):362–389

    Article  Google Scholar 

  13. Neville AM (1996) Properties of concrete, 4th edn. Wiley, New York

    Google Scholar 

  14. Bungey JH, Millard SG (1996) Testing of concrete in structures, 3rd edn. Blackie academic and professional, London, an imprint of Chapman & Hall

  15. Bartlett FM, MacGregor JG (1994) Assessment of concrete strength in existing structures. Structural Engineering Report No. 198, Department of Civil and Environmental Engineering, University of Alberta, Canada

  16. ACI 228.1R-03 (2003) In-place methods to estimate concrete strength. American Concrete Institute, Farmington Hills, Michigan

  17. EN 13791 (2007) Assessment of in situ compressive strength in structures and precast concrete components. European Committee for Standardization

  18. Kappos AJ, Chryssanthopoulos MK, Dymiotis C (1999) Uncertainty analysis of strength and ductility of confined reinforced concrete members. Eng Struct 21(2):195–208

    Article  Google Scholar 

  19. Bartlett FM, MacGregor JG (1995) Equivalent specified concrete strength from core test data. Concr Int 17(3):52–58

    Google Scholar 

  20. Bartlett FM (1997) Precision of in-place concrete strengths predicted using core strength correction factors obtained by weighted regression analysis. Struct Saf 19(4):397–410

    Article  Google Scholar 

  21. Stewart MG (1995) Workmanship and its influence on probabilistic models of concrete compressive strength. ACI Mater J 92(4):361–372

    Google Scholar 

  22. Day KW (1999) Concrete mix design, quality control and specification, 2nd edn. E & FN Spon, London

    Google Scholar 

  23. Tumidajski PJ, Fiore L, Khodabocus T, Lachemi M, Pari R (2006) Comparison of Weibull and normal distributions for concrete compressive strengths. Can J Civ Eng 33(10):1287–1292

    Article  Google Scholar 

  24. Drysdale RG (1973) Variation of concrete strength in existing buildings. Mag Concr Res 25(85):201–207

    Article  Google Scholar 

  25. Bartlett FM, MacGregor JG (1999) Variation of in-place concrete strength in structures. ACI Mater J 96(2):261–270

    Google Scholar 

  26. Wísniewski DF (2007) Safety formats for the assessment of concrete bridges: with special focus on precast concrete. PhD Thesis, University of Minho, Portugal

  27. Aguiar B, Veiga V, Oliveira P (2003) Statistical analysis of compressive strength of concrete specimens. In: Proceedings of the ICPCM: A New Era of Building, Cairo, Egypt

  28. Montgomery DC, Runger GC (2003) Applied statistics and probability for engineers, 3rd edn. Wiley, New York

    Google Scholar 

  29. Maronna RA, Martin DR, Yohai VJ (2006) Robust statistics: theory and methods. Wiley, New York

    Book  MATH  Google Scholar 

  30. ISO 12491 (1997) Statistical methods for quality control of building materials and components. International Standard Organization

  31. Leonardo da Vinci Pilot Project CZ/02/B/B/PP-134007 (2005) Reliability backgrounds (handbook 2), European Commission

  32. Hindo KR, Bergstrom WR (1985) Statistical evaluation of the in-place compressive strength of concrete. Concr Int 7(2):44–48

    Google Scholar 

  33. Wong WF, Chiew SP, Ho NY (1993) Evaluation of in situ test data from existing concrete structures. In: Dhir RK, Jones MR (eds) Proceedings of the symposium concrete 2000: economic and durable construction through excellence, vol 2. E & FN Spon, London

  34. Singh AK, Singh A, Engelhardt M (1997) The lognormal distribution in environmental applications. EPA Issue Paper EPA/600/R-97/006

  35. Zhou X-H, Gao S (1997) Confidence intervals for the log-normal mean. Stat Med 16(7):783–790

    Article  Google Scholar 

  36. Aoshima M, Govindarajulu Z (2002) Fixed-width confidence interval for a lognormal mean. Int J Math Math Sci 29(3):143–153

    Article  MathSciNet  MATH  Google Scholar 

  37. Krishnamoorthy K, Mathew T (2003) Inferences on the means of lognormal distributions using generalized p-values and generalized confidence intervals. J Stat Plan Inference 115(1):103–121

    Article  MathSciNet  MATH  Google Scholar 

  38. Shen H (2003) Nonparametric regression for problems involving lognormal distributions. PhD Thesis, University of Pennsylvania, USA

  39. El-Shaarawi AH, Lin J (2007) Interval estimation for log-normal mean with applications to water quality. Environmetrics 18(1):1–10

    Article  MathSciNet  Google Scholar 

  40. Zou GY, Huo CY, Taleban J (2008) Simple confidence intervals for lognormal means and their differences with environmental applications. Environmetrics 20(2):172–180

    Article  MathSciNet  Google Scholar 

  41. Castillo E (1988) Extreme value theory in engineering. Statistical Modeling and Decision Science. Academic Press, New York

    Google Scholar 

  42. Lawless JF (1982) Statistical models and methods for lifetime data, 2nd edn. Wiley, New York

    MATH  Google Scholar 

  43. Xie M, Yang ZL, Gaudoin O (2000) More on the mis-specification of the shape parameter with Weibull-to-exponential transformation. Qual Reliab Eng Int 16(4):281–290

    Article  Google Scholar 

  44. Yang Z, Xie M, Wong ACM (2007) A unified confidence interval for reliability-related quantities of two-parameter Weibull distribution. J Stat Comput Simul 77(5):365–378

    Article  MathSciNet  MATH  Google Scholar 

  45. Ang AH-S, Tang WH (1984) Probability concepts in engineering: emphasis on applications to civil and environmental engineering. Wiley, New York

    Google Scholar 

  46. Diamantidis D (ed) (2001) Probabilistic assessment of existing structures. Joint Committee on Structural Safety. RILEM Publications S.A.R.L, Cachan

Download references

Acknowledgments

The financial support of the Portuguese Foundation for Science and Technology to the research project “Development and calibration of the Eurocode 8-Part 3 seismic safety assessment methodologies for existing buildings” (PTDC/ECM/108098/2008) is gratefully acknowledged.

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Correspondence to Xavier Romão.

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Romão, X., Gonçalves, R., Costa, A. et al. Evaluation of the EC8-3 confidence factors for the characterization of concrete strength in existing structures. Mater Struct 45, 1737–1758 (2012). https://doi.org/10.1617/s11527-012-9868-4

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