TECHNICAL PAPERS
Jun 10, 2010

Characterization of Model Uncertainty in the Static Pile Design Formula

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 137, Issue 1

Abstract

Level 1 reliability methods have been internationally accepted as the basis for development of the new generation of geotechnical design codes. A key requirement of this design approach is the identification and quantification of uncertainties associated with the geotechnical design under consideration. This paper presents four load test databases from South Africa for driven piles in noncohesive soils (29 tests), bored piles in noncohesive soils (33 tests), driven piles in cohesive soils (59 tests), and bored piles in cohesive soils (53 tests). The capacity model factor is defined as the ratio of the interpreted capacity (Chin-Davisson approach) and the predicted capacity (static pile design formula). The uncertainty in the capacity model factor is modeled as a lognormal random variable. The model factor statistics reported in this study are required for reliability-based ultimate limit state design. The uncertainty in the load-settlement behavior is characterized by fitting measured load-settlement data to a hyperbolic equation and then normalizing the hyperbolic curve with the interpreted capacity. The resulting exercise reduces uncertainties in a set of nonlinear continuous curves to uncertainties in two hyperbolic curve-fitting parameters. This approach is practical and grounded realistically on the load test database with minimal assumptions. The hyperbolic parameter statistics reported in this study are required for reliability-based serviceability limit state design.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The writers are grateful to South African companies who helped in providing pile load test data. These included Franki Africa, Dura Piling, Jones and Wagener, Stefanutti and Bressan, and Gauteng Piling.

References

Baecher, G. B. (1986). “Geotechnical error analysis.” Transportation Research Record. 1105, Transportation Research Board, Washington, D.C., 23–31.
Berezantzev, V. G., Khristoforov, V., and Golubkov, V. (1961). “Load bearing capacity and deformation of piled foundation.” Proc., 5th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 2, ISSMFE, Paris, 11–15.
Blight, G., and Brummer, R. K. (1980). “Compressibility and strength of weathered andesite lava.” J. South African Inst. Civil Eng.22, 271–278.
Blight, G. E. (1994). “General report on tropical and residual soils.” Proc., 10th Regional Conf. for Africa on Soil Mechanics and Foundation Engineering and the 3rd Int. Conf. on Tropical and Residual Soils, Vol. 2, Balkema, Rotterdam, The Netherlands, 443–457.
Briaud, J. L., and Tucker, L. M. (1988). “Measured and predicted response of 98 piles.” J. Geotech. Engrg., 114(9), 984–1001.
Butler, H. D., and Holly, H. E. (1977). Users manual for the Texas quick-load methods for foundations load testing, Office of Development, Federal Highway Administration, Washington, D.C.
Byrne, G., Everett, J. P., Schwartz, K., Friedlaender, E. A., Mackintosh, N., and Wetter, C. (1995). A guide to practical geotechnical engineering in southern Africa, 3rd Ed., Franki, Johannesburg, South Africa.
Chin, F. K. (1970). “Estimation of the ultimate load of piles not carried to failure.” Proc., 2nd Southeast Asian Conf. on Soil Engineering, Southeast Asian Geotechnical Society, Singapore, 81–90.
Christian, J. T., Ladd, C. C., and Baecher, G. B. (1994). “Reliability applied to slope stability analysis.” J. Geotech. Engrg., 120(12), 2180–2207.
Davison, M. T. (1972). “High capacity piles.” Proc., Soil Mechanics Lecture Series on Innovation in Foundation Construction, ASCE, Illinois Section, Chicago, 81–112.
DeGroot, D. J. (1996). “Analyzing spatial variability of in situ soil properties.” Uncertainty in the geologic environment: From theory to practice, ASCE, Geotechnical Special Publication No. 58, Vol. 1, ASCE, Reston, Va., 210–238.
Dithinde, M. (2007). “Characterisation of model uncertainty for reliability based design of pile foundations.” Ph.D. dissertation, University of Stellenbosch, Matieland, South Africa.
European Committee for Standardization (CEN). (2004). “Geotechnical design—Part 1: General rules.” EN 1997-1 EN 1997, Brussels, Belgium.
Fuller, R. M., and Holly, H. E. (1970). “Pile load tests including quick load test method, conventional methods and interpretations.” HRB 333, Highway Research Board, Washington, D.C., 78–86.
Hansen, J. B. (1963). “Discussion on hyperbolic stress-strain response in cohesive soils.” Soil Mech. Found. Eng., 89(4), 241–242.
Institute of Civil Engineers (ICE). (1988). Specification for piling, London.
Jennings, J. E., Brink, A. B. A., and Williams, A. A. B. (1973). “Revised guide to soil profiling for civil engineering purposes in Southern Africa.” J. South African Inst. Civil Eng., Midrand, Vol. 15, 3–12.
Joint Committee on Structural Safety (JCSS). (2001). “Probabilistic model code.” ⟨www.jcss.ethz.ch/⟩ (Mar. 2006).
Jones, A. L., Kramer, S. L., and Arduino, P. (2002). “Estimation of uncertainty in geotechnical properties for performance earthquake engineering.” PEER Rep. No. 2002/16, Univ. of California, Berkeley, Berkeley, Calif.
Kulhawy, F. K., Roth, M. J. S., and Grigoriu, M. D. (1991). “Some statistical evaluation of geotechnical properties.” Proc., 6th Int. Conf. on Application of Statistics and Probability in Civil Engineering, Vol. 2, UNAM, Mexico City, Mexico, 705–712.
Kulhawy, F. K., and Trautmann, C. H. (1996). Estimation of in-situ test uncertainty. Uncertainty in the geologic environment, Madison, ASCE, Reston, Va., 269–286.
Lacasse, S., and Nadim, F. (1996). “Model uncertainty in pile axial capacity calculations.” Proc., 28th Offshore Technology Annual Conf., Offshore Technology Center, Houston, 369–380.
McBean, E. A., and Rovers, F. A. (1998). Statistical procedures for analysis of environmental monitory data and risk assessment, Prentice-Hall, Upper Saddle River, N.J.
Phoon, K. K. (1995). “Reliability-based design of foundations for transmission line structures.” Ph.D. dissertation.
Phoon, K. K. (2005). “Reliability-based design incorporating model uncertainties.” Proc., 3rd Int. Conf. on Geotechnical Engineering and 9th Yearly Meeting of Indonesian Society for Geotechnical Engineering, Diponegoro University, Semorang, Indonesia, 191–203.
Phoon, K. K., Chen, J. R., and Kulhawy, F. H. (2006). Characterization of model uncertainties for augured cast-in-place (ACIP) piles under axial compression. Foundation analysis and design: Innovative methods (GSP 153), R. L. Parsons, L. M. Zhang, W. D. Guo, K. K. Phoon, and M. Yang, eds., ASCE, Reston, Va., 82–89.
Phoon, K. K., Chen, J. R., and Kulhawy, F. H. (2007). Probabilistic hyperbolic models for foundation uplift movement. Probabilistic Applications in Geotechnical Engineering (GSP 170) (CD-ROM), K. K. Phoon, G. A. Fenton, E. F. Glynn, C. H. Juang, D. V. Griffiths, T. F. Wolff, and L. M. Zhang, eds., ASCE, Reston, Va.
Phoon, K. K., and Kulhawy, F. H. (1996). “On quantifying inherent soil variability. Uncertainty in the geologic environment.” From theory to practice, ASCE, Geotechnical Special Publication No. 58, 1, 326–352.
Phoon, K. K., and Kulhawy, F. H. (1999). “Characterisation of geotechnical variability.” Can. Geotech. J., 36(4), 612–624.
Phoon, K. K., and Kulhawy, F. H. (2008). “Serviceability limit state reliability-based design.” Reliability-based design in geotechnical engineering: Computations and applications, Taylor and Francis, London, 344–383.
Rahman, M. S., Gabr, M. A., Sarica, R. Z., and Hossan, M. S. (2002). “Load and resistance factors design (LRFD) for analysis/design of piles axial capacities.” Research Rep. No. FWHA/NC/2005-8, North Carolina State Univ., Raleigh, N.C.
Robinson, R. B., Cox, C. D., and Odom, K. (2005). “Identifying outliers in correlated water quality data.” J. Environ. Eng., 131(4), 651–657.
Ronold, K. O., and Bjerager, P. (1992). “Model uncertainty representation in geotechnical reliability analysis.” J. Geotech. Engrg., 118(3), 363–376.
South African Bureau of Standards (SABS). (1983). “Standard specification for civil engineering construction, F-piling.” SABS 1200 F, Pretoria, South Africa.
Tabba, M. M., and Yong, R. N. (1981). “Mapping and predicting soil properties: Theory.” J. Eng. Mech., 107(5), 733–811.
Tang, W. H. (1984). “Principles of probabilistic characterisation of soil properties.” Proc., Probabilistic Characterization of Soil Properties: Bridge Between Theory and Practice, ASCE, New York, 74–89.
Terzaghi, K. (1942). “Discussion on progress report of the committee on bearing values of pile foundations. Pile driving formulas.” Proc., ASCE, Harvard Soil Mechanics Series 17, Vol. 68, 311–323.
Titi, H. H., and Abu-Farsakh, M. Y. (1999). “Evaluation of bearing capacity of piles from cone penetration test data.” Rep. No. FHWA/LA.99/334, Louisiana Transportation Research Center, Baton Rouge, La.
Tomlinson, M. J. (1970). “The adhesion of piles driven in stiff clay.” CIRIA Research Rep. No. 26, Construction Industry Research and Information Assoc., London.
Whitman, R. V. (2000). “Organising and evaluating uncertainties in geotechnical engineering.” J. Geotech. Geoenviron. Eng., 126(7), 583–593.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 137Issue 1January 2011
Pages: 70 - 85

History

Received: Jul 23, 2008
Accepted: Jun 7, 2010
Published online: Jun 10, 2010
Published in print: Jan 2011

Permissions

Request permissions for this article.

Authors

Affiliations

M. Dithinde
Lecturer, Dept. of Civil Engineering, Univ. of Botswana, P. Bag 0061, Gaborone, Botswana (corresponding author).
K. K. Phoon, F.ASCE
Professor, Dept. of Civil Engineering, National Univ. of Singapore, E1A-07–14, Blk E1A #07–03, 1 Engineering Drive 2, Singapore 117576.
M. De Wet
Senior Lecturer, Dept. of Civil Engineering, Univ. of Stellenbosch, Private Bag X1 Matieland 7602, South Africa.
J. V. Retief
Professor, Dept. of Civil Engineering, Univ. of Stellenbosch, Private Bag X1 Matieland 7602, South Africa.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share