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Probabilistic analysis of creep and shrinkage effects in PSC box girder bridges

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

This paper presents a method of probabilistic analysis and a sensitivity analysis of the effects of creep and shrinkage in prestressed concrete (PSC) box girder bridges. Three possible sources of the uncertainties of the structural response have been considered: (1) creep and shrinkage model uncertainty, (2) parameter variation, and (3) environmental conditions. The probabilistic and sensitivity analyses are performed using sampling method. For each sample, a time-dependent structural analysis is performed to produce response data, which are then analyzed statistically. Two measures are examined to quantify the sensitivity of the outputs to each of the input variables. These are partial rank correlation coefficient (PRCC) ad standardized rank regression coefficient (SRRC) computed on the ranks of the observations. To apply the proposed method to a real structure, the probabilistic prediction and sensitivity of the time-dependent axial shortening of PSC box girder bridge are analyzed. The method provides a realistic tool to determine the uncertainty analysis in PSC box girder bridges and identifies the most important factors in the long-term prediction of structural response of those structures.

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References

  • ACI 209R-92 (1992) “Prediction of creep, shrinkage and temperature effects in concrete structures.”ACI Manual of Concrete Practice, Part 1, American Concrete Institute, Detroit.

  • Ang, A.H.-S. and Tang, W.H. (1975).Probability concepts in engineering planning and design, Vol. 1, Basic Principles, Wiley, New York.

    Google Scholar 

  • Bazant, Z.P. (1988)Mathematical modeling of creep and shrinkage of concrete, John Wiley & Sons.

  • Bazant, Z.P. and Baweja, S. (1995) “Justification and refinement of Model B3 for concrete creep and shrinkage—1. Statistics and sensitivity.”Materials and Structures, Vol. 28, No. 181, pp. 415–430.

    Article  Google Scholar 

  • Bazant, Z.P. and Liu, K.-L. (1985) “Random creep and shrinkage in structures: Sampling.”Journal of Structural Engineering, ASCE, Vol. 111, No. 5, pp. 1113–1134.

    Article  Google Scholar 

  • Bjerager, P. and Krenk, S. (1989) “Parametric sensitivity in first order reliability theory.”Journal of Engineering Mechanics, ASCE, Vol. 115, No. 7, pp. 1577–1582.

    Google Scholar 

  • Comité Euro-International du Béton (CEB). (1990)CEB-FIP model code for concrete structures. Lausanne, Switzerland.

  • Cruz, P.J.S. Mari, A.R. and Roca, P. (1998) “Nonlinear time-dependent analysis of segmentally constructed structures.”Journal of Structural Engineering, ASCE, Vol. 124, No. 3, pp. 278–287.

    Article  Google Scholar 

  • Dallal, G.E. and Wilkinson, L. (1986) “An analytic approximation to the distribution of Lilliefors's test statistic for normality.”The American Statistician, Vol. 40, No. 4, pp. 294–296.

    Article  Google Scholar 

  • Diamantidis, D., Madsen, H.O., and Rackwitz, R. (1983) “On the variability of the creep coefficient of structural concrete.”Materials and Structures, Vol. 17, No. 100, pp. 321–328.

    Google Scholar 

  • Ditlevson, O. and Madsen, H.O. (1996)Structural reliability methods, John Wiley, New York.

    Google Scholar 

  • Helton, J.C., Johnson, J.D., Shiver, A.W., and Sprung, J.L. (1995) “Uncertainty and sensitivity analysis of early exposure results with the MACCS reactor accident consequence model.”Reliability Engineering and System Safety, Vol. 48, No. 2, pp. 91–127.

    Article  Google Scholar 

  • Herbert, T.J. (1990) “Computer analysis of deflection and stresses in stage constructed concrete bridges.”PCI Journal, Vol 35, No. 3, pp. 52–62.

    MathSciNet  Google Scholar 

  • Hohenbichler, M. and Rackwitz, R. (1986) “Sensitivity and importance measures in structural reliability.”Civil Engineering Systems, Vol. 3, No. 4, pp. 203–209.

    Article  Google Scholar 

  • Iman, R.L. and Conover, W.J. (1980) “Small sample sensitivity analysis techniques for computer models with an application to risk assessment.”Communications in Statistics, Vol. A9, No. 17, pp. 1749–1842.

    MathSciNet  Google Scholar 

  • Iman, R.L. and Helton, J.C. (1985) “A comparison of uncertainty and sensitivity analysis techniques for computer models.”Report NUREG/CR-3904, SAND84-1461, Sandia National Laboratories, Albuerque.

    Google Scholar 

  • Iman, R.L. Helton, J.C. and Campbell, J.E. (1981a) “An approach to sensitivity analysis of computer models, Part I—Introduction, input variable selection and preliminary variable variable assessment.”Journal of Quality Technology, Vol. 13, No. 3, pp. 174–183.

    Google Scholar 

  • Iman, R.L. Helton, J.C., and Campbell, J.E. (1981b) “An approach to sensitivity analysis of computer models, Part II—Ranking of input variables, response surface validation, distribution effect and technique synopsis.”Journal of Quality Technology, Vol. 13, No. 4, pp. 232–240.

    Google Scholar 

  • Kang, Y.J. (1989) “SPCFRAME-compter program for nonlinear segmental analysis of planar concrete frames.”Rep. UCB/SESM 89/07, University of California at Berkely.

  • Karamchandani, A. and Cornell, C.A. (1992) “Sensitivity estimation within first and second order reliability methods.”Structural Safety, Vol. 11, No. 2, pp. 95–107.

    Article  Google Scholar 

  • Ketchum, M.A. (1986) “Redistribution of stress in segmentally erected prestressed concrete bridges.”Rep UCB/SESM 86-07, University of California at Berkely.

  • Li, C.Q. and Melchers, R.E. (1992) “Reliability analysis of creep and shrinkage effects,”Journal of Structural Engineering, ASCE, Vol. 118, No. 9, pp. 2323–2337.

    Article  Google Scholar 

  • Lilliefors, H.W. (1967) “On the Kolmogorov-Smirnov test for normality with mean and variance unknown.”Journal of the Statistical Association, Vol. 62, No. 318, pp. 399–402.

    Article  Google Scholar 

  • Madsen, H.O. and Bazant, Z.P. (1983) “Uncertainty analysis of creep and shrinkage effects in concrete structures.”ACI Journal, Vol. 80, No. 2, pp. 116–127.

    Google Scholar 

  • Madsen, H.O., Krenk, S. and Lind, N.C. (1986)Methods of Structural Safety, Prentice Hall, Englewood Cliffs, New Jersey.

    Google Scholar 

  • Novák, D., Teplý, B., and Keršner, Z. (1997) “The role of Latin hypercube sampling method in reliability engineering.”Proceedings of ICOSSAR-97, Kyoto, Japan, pp. 403–409.

  • Novák, D., Teplý, B. and Shiraishi, N. (1993) “Sensitivity analysis of structures: A review.”Proceedings of CIVIL COMP 93, Edinburgh, Scotland, pp. 201–207.

  • Oh, B.H. and Lee, H.J. (1996) “Time-dependent analysis of reinforced and prestressed concrete structures considering tensile creep of concrete.”Proceedings of the Korea Concrete Institute, Seoul, Korea, pp. 473–479 (in Korean).

  • Oh, B.H. and Yang, I.H. (2000) “Sensitivity analysis of time-dependent behavior in PSC box girder bridges.”Journal of Structural Engineering, ASCE, Vol. 126, No. 2, pp. 171–179.

    Article  Google Scholar 

  • Reinhardt, H.W., Pat, M.G.M. and Wittmann, F.H. (1982) “Variability of creep and shrinkage of concrete,”Symposium on Fundamental Research on Creep and Shrinkage of Concrete, M. Nijhoff, The Hague, pp. 75–94.

    Google Scholar 

  • Scordelis, A.C., Chan, E.C., Ketchum, M.A., and van der Walt, P.P. (1985) “Computer programs for prestressed concrete box girder bridges.”Report No. UCB/SESM-85/02a, University of California at Berkely.

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The manuscript for this paper was submitted for review on May 23, 2002.

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Yang, IH. Probabilistic analysis of creep and shrinkage effects in PSC box girder bridges. KSCE J Civ Eng 7, 275–284 (2003). https://doi.org/10.1007/BF02831778

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