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Reliability-Based Serviceability Limit State Design of Driven Piles in Glacial Deposits

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Abstract

The reliability-based design (RBD) was investigated in this study on the serviceability limit state of steel piles driven in glacial deposits. A database of 42 high-quality pile load tests was used to quantify the uncertainties of the standard penetration test (SPT)—based design methods. A two-parameter hyperbolic model was adopted to represent the measured load–displacement response of a pile, and the load component of the model was normalized with the capacity identified from the pile load test. A statistical analysis was conducted on the performances of 11 different failure load identification methods. The De Beer method was selected due to its low variations and relatively conservative estimation. The measured capacities were compared to predictions from three SPT-based design methods. The statistical properties of the capacity bias, a ratio of the measured to predicted capacity, were evaluated for characterizing the uncertainties of a pile design in glacial deposits. The average of the capacity bias varied from 0.96 to 1.13 with the coefficient of variations ranging from 36.4 to 50.9%. From the pile load tests, probability distributions were fitted to the collected capacity biases and hyperbolic model parameters, and several copulas were evaluated to represent the observed correlations between the two hyperbolic parameters. Lastly, the resistance factors in the RBD were calibrated with Monte Carlo simulations. In the end, a series of resistance factors were developed for an allowable displacement of 5 to 25 mm for three SPT-based design methods. Based on this study, the values of the resistance factors ranged from 0.04 to 0.49, which were largely influenced by the design methods due to their capacity biases and variations.

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References

  • AbdelSalam SS, Ng KW, Sritharan S, Suleiman MT, Roling M (2012) Development of LRFD procedures for bridge pile foundations in Iowa. Vol. III: Recommended resistance factors with consideration of construction control and setup (Report No. IHRB: Project TR-584). Ames, IA: Iowa Department of Transportation

  • Abu-Farsakh MY, Yoon SM, Tsai C (2009) Calibration of resistance factors needed in the LRFD design of driven piles (Report FHWA-LA-09–449). Baton Rouge, LA: Louisiana Transportation Research Center

  • Abu-Farsakh MY, Yu XB, Yoon SM, Tsai C (2010) Calibration of resistance factors needed in the LRFD design of drilled shafts (Report FHWA-LA-10-470). Baton Rouge, LA: Louisiana Transportation Research Center

  • Abu-Farsakh MY, Chen QM, Haque MN (2013) Calibration of resistance factors for drilled shafts for the new FHWA design method (Report FHWA-LA-12–495). Baton Rouge, LA: Louisiana Transportation Research Center

  • Abu-Hejleh NM, Abu-Farsakh M, Suleiman MT, Tsai C (2015) Development and use of high-quality databases of deep foundation load tests. Transp Res Rec 2511:27–36. https://doi.org/10.3141/2511-04

    Article  Google Scholar 

  • Allen TM, Nowak AS, Bathurst RJ (2005) Calibration to determine load and resistance factors for geotechnical and structural design. Transportation Research Board Circular E-C079. Washington, DC: Transportation Research Board

  • American Association of State Highway and Transportation Officials (AASHTO) (2014) AASHTO LRFD bridge design specifications. AASHTO, Washington, DC

    Google Scholar 

  • American Petroleum Institute (API) (2000) Recommended practice for planning, designing, and constructing fixed offshore platforms-working stress design: API Recommended Practice 2A-WSD (RP 2A-WSD), 21st edn. API, Washington, DC

    Google Scholar 

  • American Society for Testing and Materials (ASTM) (2013) Standard test methods for deep foundations under static axial compressive load (D1143/D1143M-07). West Conshohocken, PA: ASTM

  • Anderson TW, Darling DA (1952) Asymptotic theory of certain goodness-of-fit criteria based on stochastic process. Ann Math Stat 23(2):193–212

    Article  Google Scholar 

  • Aoki N, Velloso DA (1975) An approximate method to estimate the bearing capacity of piles. In: Proceedings of the Fifth Pan-American Conference on Soil Mechanics and Foundation Engineering, Buenos Aires, Argentina, 367–376

  • Barnett PJ (1992) Chapter 21: quaternary geology of Ontario. In Thurston PC, Williams HR, Sutcliffe RH, Scott GM (Eds.) Geology of Ontario: Ontario Geological Survey (Special Vol 4, Part 2, pp 1011–1088). Sudbury, ON: Ontario Ministry of Northern Development and Mines

  • Bathurst RJ, Bozorgzadeh N (2019) A simple probabilistic internal stability analysis and design of reinforced soil walls. GeoSt.John’s 2019, St. John’s, NL: CGS. Retrieved from, http://www.geostjohns2019.ca/

  • Becker DE (1996) Eighteenth Canadian Geotechnical Colloquium: limit states design for foundations. Part I: an overview of the foundation design process. Can Geotech J 33:956–983

    Article  Google Scholar 

  • De Beer EE (1967) Proefondervindelijke bijdrage tot de studie van het grensdraagvermogen van zand onder funderingen op staal (Deel 1). Annales des travaux publics de Belgique (2nd series), 68(6), 481–504

  • De Beer EE (1968) Proefondervindelijke bijdrage tot de studie van het grensdraagvermogen van zand onder funderingen op staal (Deel 2–3). Annales des travaux publics de Belgique (2nd series), 69(1), 44–88; 69(4), 321–360

  • Berezantzev, V.G., Khristoforov, V.S., & Golubkov, V. N. (1961). Load bearing capacity and deformation of piled foundations. In: Proceedings of the 5th International Conference on Soil Mechanics and Foundation Engineering, 2, 11–15

  • Brown RP (2001) Predicting the ultimate axial resistance of single driven piles (Doctoral dissertation). University of Texas, Austin, TX, Department of Civil Engineering

    Google Scholar 

  • Butler HD, Hoy HE (1977) Users manual for the Texas quick-load method for foundation load testing (Report IP-77-8). FHWA, Washington, DC

    Google Scholar 

  • Canadian Geotechnical Society (CGS) (2006) Canadian foundation engineering manual, 4th edn. CGS, Richmond, BC

    Google Scholar 

  • Canadian Standards Association (CSA) (2019) Canadian Highway Bridge Design Code. Mississauga, ON: CSA

  • Chin FK (1970) Estimation of the ultimate load of piles from tests not carried to failure. In: Proceedings of second southeast asian conference on soil engineering, Singapore City, Singapore, 81–92

  • Clarke BG (2017) Engineering of glacial deposits. CRC Press, Boca Raton, FL

    Book  Google Scholar 

  • Davisson MT (1972) High capacity piles. In: Proceedings of Lecture Series on Innovations in Foundation Construction, Chicago, IL: ASCE, March 22, 81–112

  • Decourt L (1995) Prediction of load-settlement relationships for foundations on the basis of the SPT-T. Ciclo De Conferencias Internationale, Mexico City, Mexico 1:85–104

    Google Scholar 

  • Decourt L (1982) Predictions of bearing capacity based exclusively on N values of the SPT. In: Proceedings of the 2nd European Symposium on Penetration Testing, Amsterdam, 1, 29–34

  • Decourt L (1999) Behavior of foundations under working load conditions. In: Proceedings of the 11th Pan-American Conference on Soil Mechanics and Geotechnical Engineering, Foz DoIguassu, Brazil, August, 4, 453–488

  • Dithinde M, Phoon K-K, De Wet M, Retief JV (2011) Characterization of model uncertainty in the static pile design formula. J Geotech Geoenviron Eng ASCE 137(1):70–85

    Article  Google Scholar 

  • Duncan JM (2000) Factors of safety and reliability in geotechnical engineering. J Geotech Geoenviron Eng ASCE 126(4):307–316

    Article  Google Scholar 

  • Fellenius BH (1980) The analysis of results from routine pile load tests. Ground Eng 13(6):19–31

    Google Scholar 

  • Fellenius BH (2019) Basics of foundation design. Pile Buck International Inc, Vero Beach, FL

    Google Scholar 

  • Fenton GA, Naghibi F, Griffiths DV (2016) On a unified theory for the reliability-based geotechnical design. Comput Geotech 78:110–122

    Article  Google Scholar 

  • Fuller FM, Hoy HE (1970) Pile load tests including quick load test method, conventional methods, and interpretations (Record 333). Highway Research Board, Washington, DC

    Google Scholar 

  • Hannigan PJ, Rausche F, Likins GE, Robinson BR, Becker ML (2016) Geotechnical Engineering Circular No. 12 – Volume I: Design and construction of driven pile foundations (Publication No. FHWA-NHI-16-009). Washington, DC: Federal Highway Administration (FHWA).

  • Hansen JB (1963) Discussion on hyperbolic stress-strain response of cohesive soils. J Soil Mech Found Eng 89(4):241–242

    Article  Google Scholar 

  • Hirany A, Kulhawy FH (1989) Interpretation of load tests on drilled shafts, part 1: axial compression. In: Kulhawy FH (ed) Foundation engineering: current principles and practices, vol 2. ASCE, New York, NY, pp 1132–1149

    Google Scholar 

  • Howell DC (2002) Statistical methods for psychology, 5th edn. Duxbury, Pacific Grove, CA

    Google Scholar 

  • Huffman JC, Strahler AW, Stuedlein AW (2015) Reliability-based serviceability limit state design for immediate settlement of spread footings on clay. Soils Found 55(4):798–812. https://doi.org/10.1016/j.sandf.2015.06.012

    Article  Google Scholar 

  • Huffman JC, Martin JP, Stuedlein AW (2016) Calibration and assessment of reliability-based serviceability limit state procedures for foundation engineering. Georisk Assess Manag Risk Eng Syst Geohazards 10(4):280–293. https://doi.org/10.1080/17499518.2016.1183797

    Article  Google Scholar 

  • Jesswein, M., & Liu, J. (2021). A new SPT-based method for estimating axial capacity of driven piles in glacial deposits. Geotechnical and Geological Engineering, 40, 1043–1060.https://doi.org/10.1007/s10706-021-01941-6 

  • Legget RF (ed) (1965) Soils in Canada: Geological, Pedological, and Engineering Studies (Special Publications No. 3). The Royal Society of Canada, Toronto, ON

    Google Scholar 

  • Martin RE, Seli JJ, Powell GW, Bertoulin M (1987) Concrete pile design in Tidewater, Virginia. J Geotech Eng ASCE 113(6):568–585

    Article  Google Scholar 

  • Mathworks (2017) Matlab [Computer software]. Natick, MA: Matworks

  • Meyerhof GG (1956) Penetration tests and bearing capacity of cohesionless soils. J Soil Mech Found Div ASCE 82(1):1–19

    Google Scholar 

  • Meyerhof GG (1976) Bearing capacity and settlement of pile foundations. J Geotech Eng Div ASCE 102(3):197–228

    Article  Google Scholar 

  • Milligan V (1976) Geotechnical aspects of glacial tills. In R.F. Legget (Ed.), Glacial Till: An Inter-Disciplinary Study (Special Publication No. 12) (pp. 269–291). Ottawa, ON: The Royal Society of Canada

  • Misra A, Roberts LA (2009) Service limit state resistance factors for drilled shafts. Geotechnique 59(1):53–61

    Article  Google Scholar 

  • National Research Council Canada (NRCC) (2015) National Building Code of Canada. Ottawa, ON: NRCC

  • Nelsen RB (2007) An introduction to copulas (2nd ed.). New York, NY: Springer. Retrieved from, https://ebookcentral-proquest-com.ezproxy.lib.ryerson.ca/lib/ryerson/reader.action?docID=371373#

  • Nordlund RL (1963) Bearing capacity of piles in cohesionless soils. J Soil Mech Found Div ASCE 89(3):1–36

    Article  Google Scholar 

  • Nordlund RL (1979) Point bearing and shaft friction of piles in sand. In: Missouri-Rolla 5th Annual short course on the fundamental of deep foundation design, St. Louis, MI.

  • Paikowsky SG (2004) Load and resistance factor design (LRFD) for deep foundations, vol 507. Transportation Research Board, Washington, DC

    Google Scholar 

  • Phoon K-K, Kulhawy FH (2008) Serviceability limit state reliability-based design. In: Phoon K-K (ed) Reliability-based design in geotechnical engineering: computations and applications. Taylor & Francis, New York, NY, pp 344–384

    Chapter  Google Scholar 

  • Phoon K-K, Kulhawy FH, Grigoriu MD (2003) Development of a reliability-based design framework for transmission line structure foundations. J Geotech Geoenviron Eng ASCE 129(9):798–806

    Article  Google Scholar 

  • Reddy SC, Stuedlein AW (2017) Serviceability limit state reliability-based design of augered cast-in-place piles in granular soils. Can Geotech J 54(12):1704–1715

    Article  Google Scholar 

  • Sadegh M, Ragno E, AghaKouchak A (2017) Multivariate copula analysis toolbox (MvCAT): describing dependence and underlying uncertainty using a Bayesian framework. Water Resour Res 53:5166–5183. https://doi.org/10.1002/2016WR020242

    Article  Google Scholar 

  • Salgado S, Woo SI, Kim D (2011) Development of load and resistance factor design for ultimate and serviceability limit states of transportation structure foundations (Report FHWA/IN/JTRP-2011/03). Indianapolis, IN: Indiana Department of Transportation

  • Semple RM, Rigden WJ (1986) Shaft capacity of driven pipe piles in clay. Ground Engineering, 11–19

  • Shariatmadari N, Eslami A, Karimpour-Fard M (2008) Bearing capacity of driven piles in sands from SPT-applied to 60 case histories. Iranian J Sci Tech 32(B2):125–140

    Google Scholar 

  • Shioi Y, Fukui J (1982) Application of N-value to design foundations in Japan. In: Proceedings of the 2nd European Symposium on Penetration Testing, Amsterdam, 1, 159–164.

  • Sivrikaya O, Toğrol E (2006) Determination of undrained shear strength of fine-grained soils by means of SPT and its applications in Turkey. Eng Geol 86(1):52–69

    Article  Google Scholar 

  • Tang C, Phoon K-K (2018a) Statistics of model factors in reliability-based design of axially loaded driven piles in sand. Can Geotech J 55:1592–1610

    Article  Google Scholar 

  • Tang C, Phoon K-K (2018b) Evaluation of model uncertainties in reliability-based design of steel H-piles in axial compression. Can Geotech J 55:1513–1532

    Article  Google Scholar 

  • Tang C, Phoon K-K (2018c) Statistics of model factors and consideration in reliability-based design of axially loaded helical piles. J Geotech Geoenviron Eng ASCE. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001894

    Article  Google Scholar 

  • Tang C, Phoon KK, Chen YJ (2019) Statistical analysis of model factors in reliability-based limit-state design of drilled shafts under axial loading. J Geotech Geoenviron Eng. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002087

    Article  Google Scholar 

  • Thorburn S, MacVicar SL (1971) Pile load tests to failure in the Clyde alluvium. Behav Piles Lond UK Inst Civil Eng 1(7):53–54

    Google Scholar 

  • Tomlinson MJ, Woodward J (2008) Pile design and construction practice, 5th edn. Taylor and Francis, New York, NY

    Google Scholar 

  • Tomlinson, M. J. (1957). The adhesion of piles driven in clay soils. In: Proceedings of the 4th International Conference of Soil Mechanics, 2, 66–71

  • Uzielli M, Mayne PW (2011) Serviceability limit state CPT-based design for vertically loaded shallow footings on sand. Geomech Geoeng 6(2):91–97

    Article  Google Scholar 

  • Van Der Veen C (1953) The bearing capacity of a pile. In: Proceedings of 3rd ICSMFE. Zurich, Switzerland

  • Wolff TF (1989) Pile capacity prediction using parameter functions. In: Predicted and observed axial behavior of piles: results of a pile prediction symposium (ASCE Geotechnical Special Publication No. 23), 96–106

  • Wu XZ, Xin J-X (2019) Probabilistic analysis of site-specific load-displacement behavior of cement-fly ash-gravel piles. Soils Found 59(5):1613–1630. https://doi.org/10.1016/j.sandf.2019.07.003

    Article  Google Scholar 

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Acknowledgements

The presented research was made possible with funding from the Ministry of Transportation of Ontario (MTO) and support through a graduate scholarship from the National Sciences and Engineering Research Council of Canada. In addition, the authors would like to thank Mr. David Staseff and Ms. Minkyung Kwak from MTO for sharing the data of pile load tests.

Funding

This research was funded by Ministry of Transportation Ontario Highway Infrastructure Innovations Funding Program grant entitled "Improving Pile Design in Ontario Soils."

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Correspondence to Jinyuan Liu.

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Jesswein, M., Liu, J. Reliability-Based Serviceability Limit State Design of Driven Piles in Glacial Deposits. Geotech Geol Eng 40, 4447–4471 (2022). https://doi.org/10.1007/s10706-022-02163-0

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