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Reliability of Hydraulic Structures Possessing Random Loading and Resistance

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Engineering Reliability and Risk in Water Resources

Part of the book series: NATO ASI Series ((NSSE,volume 124))

Abstract

The safety-threatening external loading from geophysical and nongeophysical sources and the capacity or resistance of a hydraulic structure both vary randomly in time and space. In the traditional analysis of the risk of a hydraulic structure, only the hydrologic factors are taken into consideration. Alternately, a safety factor could be arbitrarily assigned in order to provide some degree of protection against our ignorance. These approaches either provide us a partial view of the risk or are empirical and arbitrary. A true reliability evaluation cannot be accomplished unless all the factors are accounted for and properly analyzed and combined. At the other extreme, the method of direct integration for risk evaluation which would give exact, true reliability evaluation requires knowing the exact probability distribution of each of all the factors. This requirement is rarely satisfied in real situations. In this presentation a number of approximate techniques that could provide an estimate of the system reliability of a hydraulic structure are briefly reviewed. Emphasis is then placed on the mean-value first-order second-moment method and the advanced first-order method. These two methods, when applied conjunctively with a fault tree or event tree, provide a formal, albeit approximate, framework for considering quantitatively all the factors that influence total system reliability. It also gives a formal structure to combine quantitatively the risks evaluated separately by different hydrologic, hydraulic, geotechnical, structural and other specialists.

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References

  • Abadie, J. and J. Carpentier (1969) Generalization of the Wolfe reduced gradient method to the case of nonlinear constraints, In: Optimization, ed. by R. Fletcher, Academic Press, London.

    Google Scholar 

  • Ang, A. H.-S. and W. H. Tang (1975) Probability Concepts in Engineering Planning and Design, Vol. 1, Basic Principles, John Wiley & Sons, New York.

    Google Scholar 

  • Ang, A. H.-S. and W. H. Tang (1984) Probability Concepts in Engineering Planning and Design, Vol. 2, Decision, Risk, and Reliability, John Wiley & Sons, New York.

    Google Scholar 

  • ASCE Task Committee on the Réévaluation of the Adequacy of Spillways of Existing Dams (1973) Reevaluating spillway adequacy of existing dams, J. Hydraulics Div., ASCE, Vol. 99, No. HY2, pp. 337–372.

    Google Scholar 

  • Askew, A. J., W. W.-G. Yeh and W. A. Hall (1971) Use of Monte Carlo techniques in the design and operation of a multipurpose reservoir system, Water Res our. Res., Vol. 7, No. 4, pp. 81 9–833.

    Article  Google Scholar 

  • Benjamin, J. R. and C. A. Cornell (1970) Probability, Statistics and Decision for Civil Engineering, McGraw-Hill, New York.

    Google Scholar 

  • Borgman, L. E. (1963) Risk criteria (1963) J. Waterways and Harbors Div., ASCE, Vol. 89, No. WW3, pp. 1–35.

    Google Scholar 

  • Cheng, S. T. (1982) Overtopping risk evaluation for an existing dam, Ph.D. thesis, Department of Civil Engineering, University of Illinois at Urban a-Champaign.

    Google Scholar 

  • Chow, V. T. (1978) Evolution of stochastic hydrology, In: Applications of Kaiman Filter to Hydrology, Hydraulics and Water Resources, ed. by C. L. Chiu, University of Pittsburgh, Pennsylvania, pp. 13–28.

    Google Scholar 

  • CIRIA. (1977) Rationalisation of safety and serviceability factors in structure codes, Report 63, London.

    Google Scholar 

  • Cornell, C A. (1972) First-order analysis of model and parameter uncertainty, Proceedings, Intern. Symp. on Uncertainties in Hydrologie and Water Resources Systems, Tucson, Arizona, Vol. 2, pp. 805–825.

    Google Scholar 

  • Ditlevsen, O. (1973) Structural reliability and the invariance problem, Solid Mechanics Div. Res. Rept. 22, University of Waterloo, Ontario.

    Google Scholar 

  • Duckstein, L. and I. Bogardi (1981) Application of reliability theory to hydraulic engineering design, J. Hydraulics Div., ASCE, Vol. 107, No. HY7, pp. 799–815.

    Google Scholar 

  • Duckstein, L., I. Bogardi and F. Szidarovsky (1981) Reliability of underground flood control system, J. Hydraulics Div., ASCE, Vol. 107, No. HY7, PP. 817–825.

    Google Scholar 

  • Fiessler, B., H.-J. Neumann and R. Rackwitz (1979) Quadratic limit states in structural reliability, J. Engineering Mechanics Div., ASCE, Vol. 105, No. EM4, pp. 661–676.

    Google Scholar 

  • Haan, C. T. (1972) Adequacy of hydrologie records for parameter estima- tion, J. Hydraulics Div., ASCE, Vol. 98, No. HY8, pp. 1387–1393.

    Google Scholar 

  • Hasofer, A. M. and N. C. Lind (1974) Exact and invariant second-moment code format, J. Engineering Mechanics Div., ASCE, Vol. 100, No. EM1, pp. 111–121.

    Google Scholar 

  • Hillier, F. S. and G. J. Lieberman (1974), Operations Research, Holden- Day, Inc., San Francisco.

    MATH  Google Scholar 

  • James, L. D. and R. R. Lee (1971) Economics of Water Resources Planning, McGraw-Hill, New York.

    Google Scholar 

  • Lind, N. C. (1977) Formulation of probabilistic design, J. Engineering Mechanics Div., ASCE, Vol. 103, No. EM2, pp. 273–282.

    MathSciNet  Google Scholar 

  • Matalas, N. C, J. R. Slack and J. R. Wallis (1975) Regional skew in search of a parent, Water Resour. Res., Vol. 11 No. 6, pp. 815–826.

    Article  Google Scholar 

  • Melching, C S. and B. C. Yen (1984) Slope influence on storm sewer risk,Proceedings, 4th Intern. Symp. on Stochastic Hydraulics, Urbana, Illinois, pp. 188–198.

    Google Scholar 

  • Prendergast, J. D. (1979) Probabilistic concept for gravity dam analysis, Special Report M-265, U.S. Army Corps of Engineers, Construction Engineering Research Laboratory, Champaign, Illinois.

    Google Scholar 

  • Rackwitz, R. (1976) Practical probabilistic approach to design, Bulletin 112, Comtie European du Beton, Paris, France.

    Google Scholar 

  • Rackwitz, R. and B. Fiessler (1977) Non-normal vectors in structural reliability, SFB 96 Report 29, Technical University of Munich, pp. 1–22.

    Google Scholar 

  • Tang, W. H. (1980) Bayesian frequency analysis, J. Hydraulics Div., ASCE, Vol. 106, No. HY7, pp. 1203–1218.

    Google Scholar 

  • Tang, W. H. and B. C. Yen (1972) Hydrologie and hydraulic design under uncertainties, Proceedings, Intern. Symp. on Uncertainties in Hydrologie and Water Resources Systems, Tucson, Arizona, Vol. 2, pp. 866–882.

    Google Scholar 

  • Tung, Y.-K. and L. W. Mays (1980) Optimal risk-based design of water resource engineering projects, Technical Report CRWR-171, Center for Research in Water Resources, University of Texas at Austin, Texas.

    Google Scholar 

  • Wallis, J. R., N. C. Matalas and J. R. Slack (1977) Apparent regional skew, Water Resour. Res., Vol. 13, No. 1, pp. 159–182.

    Article  Google Scholar 

  • Warner, R. F. and Kabaila, A. P. (1968) Monte Carlo study of structural safety, J. Structural Div., ASCE, Vol. 94, No. ST12, pp. 2847–2859.

    Google Scholar 

  • Wen, Y.-K. (1977) Statistical combination of extreme loads, J. Structural Div., ASCE, Vol. 103, No. ST5, pp. 1079–1093.

    Google Scholar 

  • Wood, E. F. (1977) An analysis of flood levee reliability, Water Resour. Res., Vol. 13, No. 3, PP. 665–671.

    Article  Google Scholar 

  • Yen, B. C. (1970) Risk in hydrologie design of engineering projects, J. Hydraulics Div., ASCE, Vol. 96, No. HY4, pp. 959–966.

    Google Scholar 

  • Yen, B. C. (1977) Uncertainties on roughness for pipe design, In:Stochastic Processes in Water Resources Engineering, (Proceedings 2nd IAHR Intern. Symp. on Stochastic Hydraulics, Lund, Sweden, 1976), Water Resources Publications, Littleton, Colorado, pp. 369–391.

    Google Scholar 

  • Yen, B. C. (1979) Safety factors in hydrologie and hydraulic engineering design, Int Reliability in Water Resources Management, ed. by E. A. McBean, K. W. Hipel and T. E. Unny, Water Resources Publications, Littleton, Colorado, pp. 389–405.

    Google Scholar 

  • Yen, B. C. and A. H.-S. Ang (1971) Risk analysis in design of hydraulic projects, In: Stochastic Hydraulics, (Proceedings 1st Intern. Symp. on Stochastic Hydraulics), University of Pittsburgh, Pennsylvania, pp. 694–709.

    Google Scholar 

  • Yen, B. C and W. H. Tang (1976) Risk-safety factor relation for storm sewer design, J. Environmental Engineering Div., ASCE, Vol. 102, No. EE2, pp. 509–516.

    Google Scholar 

  • Yen, B. C, S.-T. Cheng and W. H. Tang (1980) Reliability of hydraulic design of culverts, Proceedings, IAHR APD Intern. Conf. on Water Resources Development, Taipei, Taiwan, Vol. 2, pp. 991–1001, Taipei, Taiwan.

    Google Scholar 

  • Yen, B. C, Wenzel, H. G., Jr., Mays, L. W. and Tang, W. H. ( 1976) Advanced methodologies for design of storm sewer systems, Research Report 112, Water Resources Center, University of Illinois at Urbana-Champaign.

    Google Scholar 

  • Young, G. K., R. S. Taylor and L. S. Costello (1970) Evaluation of the flood risk factor in the design of box culverts, vol. 1, theoretical development, Report No. FHWA-RD-74-11, U.S. Federal Highway Administration, Washington, DC.

    Google Scholar 

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© 1987 Martinus Nijhoff Publishers, Dordrecht

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Yen, B.C. (1987). Reliability of Hydraulic Structures Possessing Random Loading and Resistance. In: Duckstein, L., Plate, E.J. (eds) Engineering Reliability and Risk in Water Resources. NATO ASI Series, vol 124. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3577-8_6

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  • DOI: https://doi.org/10.1007/978-94-009-3577-8_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8100-9

  • Online ISBN: 978-94-009-3577-8

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