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Target reliability index for serviceability limit state of single piles

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Abstract

The objective is to develop an approach for the determination of the target reliability index for serviceability limit state (SLS) of single piles. This contributes to conducting the SLS reliability-based design (RBD) of piles. Based on a two-parameter, hyperbolic curve-fitting equation describing the load-settlement relation of piles, the SLS model factor is defined. Then, taking into account the uncertainties of load-settlement model, load and bearing capacity of piles, the formula for computing the SLS reliability index (β sls) is obtained using the mean value first order second moment (MVFOSM) method. Meanwhile, the limit state function for conducting the SLS reliability analysis by the Monte Carlo simulation (MCS) method is established. These two methods are finally applied to determine the SLS target reliability index. Herein, the limiting tolerable settlement (s lt) is treated as a random variable. For illustration, four load test databases from South Africa are compiled again to conduct reliability analysis and present the recommended target reliability indices. The results indicate that the MVFOSM method overestimates β sls compared to that computed by the MCS method. Besides, both factor of safety (FS) and s lt are key factors influencing β sls, so the combination of FS and β sls is welcome to be used for the SLS reliability analysis of piles when s lt is determined. For smaller s lt, pile types and soils conditions have significant influence on the SLS target reliability indices; for larger s lt, s lt is the major factor having influence on the SLS target reliability indices. This proves that s lt is the most key parameter for the determination of the SLS target reliability index.

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References

  1. WANG Y, KULHAWY F H. Reliability index for serviceability limit state of building foundations [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2008, 134(11): 1587–1594.

    Article  Google Scholar 

  2. CHRISTIAN J T, LADD C C, BAECHER G B. Reliability applied to slope stability analysis [J]. Journal of Geotechnical Engineering, 1994, 120(12): 2180–2207.

    Article  Google Scholar 

  3. PHOON K K, KULHAWY F H. Characterization of geotechnical variability [J]. Canadian Geotechnical Journal, 1999, 36(4): 612–624.

    Article  Google Scholar 

  4. WHITMAN R V. Organizing and evaluating uncertainty in geotechnical engineering [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2000, 126(7): 583–593.

    Article  Google Scholar 

  5. DITHINDE M, PHOON K K, WET M D, RETIEF J V. Characterization of model uncertainty in the static pile design formula [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2011, 137(1): 70–85.

    Article  Google Scholar 

  6. PHOON K K, QUEK S T, CHOW Y K, LEE S L. Reliability analysis of pile settlement [J]. Journal of Geotechnical Engineering, 1990, 116(11): 1717–1735.

    Article  Google Scholar 

  7. QUEK S T, PHOON K K, CHOW Y K. Pile group settlement: A probabilistic approach [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1991, 15(11): 817–832.

    Article  MATH  Google Scholar 

  8. QUEK S T, CHOW Y K, PHOON K K. Further contributions to reliability-based pile settlement analysis [J]. Journal of Geotechnical Engineering, 1992, 118(5): 726–742.

    Article  Google Scholar 

  9. PHOON K K, KULHAWY F H, GRIGORIU M D. Reliability-based design of foundations for transmission line structures [R]. Report TR-105000, EPRI, Palo Alto, 1995.

    Google Scholar 

  10. PHOON K K, KULHAWY F H, GRIGORIU M D. Development of a reliability-based design framework for transmission line structure foundations [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2003, 129(9): 798–806.

    Article  Google Scholar 

  11. PHOON K K, KULHAWY F H, GRIGORIU M D. Multiple resistance factor design (MRFD) for shallow transmission line structure foundations [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2003, 129(9): 807–818.

    Article  Google Scholar 

  12. FENTON G A, GRIFFITHS D V, CAVERS W. Resistance factors for settlement design [J]. Canadian Geotechnical Journal, 2005, 42(5): 1422–1436.

    Article  Google Scholar 

  13. ZHANG L M, NG A M Y. Probabilistic limiting tolerable displacements for serviceability limit state design of foundations [J]. Geotechnique, 2005, 55(2): 151–161.

    Article  Google Scholar 

  14. ZHANG L M, PHOON K K. Serviceability considerations in reliability-based foundation design [J]. Foundation Analysis and Design: Innovative Methods (GSP 153), 2006: 127–136.

    Chapter  Google Scholar 

  15. SCHUSTER M J, JUANG C H, ROTH M J S, HSIAO E C L, KUNG G T C. Serviceability limit state for probabilistic characterization of excavation-induced building damage [J]. Probabilistic Applications in Geotechnical Engineering (GSP 170), 2007: 1–10.

    Chapter  Google Scholar 

  16. PHOON K K, KULHAWY F H. Serviceability limit state reliability-based design. Reliability-based design in geotechnical engineering: computation and applications [M]. London and New York, Taylor & Francis, 2008: 344–384.

    Google Scholar 

  17. WANG Y. Reliability index for serviceability limit state of drilled shafts under undrained compression [J]. Journal of GeoEngineering, 2009, 4(3): 113–118.

    Google Scholar 

  18. ANG A H S, TANG W H. Probability concepts in engineering: emphasis on applications to civil and environmental engineering (2nd ed) [M]. New York: John Wiley & Sons, 2007: 133–134.

    Google Scholar 

  19. BECKER D E. Eighteenth Canadian geotechnical colloquium: limit state design for foundations. Part II. Development for national building code of Canada [J]. Canadian Geotechnical Journal, 1996, 33(6): 984–1007.

    Article  Google Scholar 

  20. MEYERHOF G G. Development of geotechnical limit state design [J]. Canadian Geotechnical Journal, 1995, 32(1): 128–136.

    Article  Google Scholar 

Download references

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Correspondence to Jun-jie Zheng  (郑俊杰).

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Foundation item: Projects(51278216, 51308241) supported by the National Natural Science Foundation of China; Project(2013BS010) supported by the Funds of Henan University of Technology for High-level Talents, China

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Bian, Xy., Zheng, Jj., Xu, Zj. et al. Target reliability index for serviceability limit state of single piles. J. Cent. South Univ. 22, 310–316 (2015). https://doi.org/10.1007/s11771-015-2523-9

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  • DOI: https://doi.org/10.1007/s11771-015-2523-9

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