Technical Papers
Jun 8, 2016

Influence of Dilation Angle on Drained Shallow Circular Anchor Uplift Capacity

This article has been corrected.
VIEW CORRECTION
Publication: International Journal of Geomechanics
Volume 17, Issue 2

Abstract

An experimental study of uplift capacity of 22 circular helical anchors installed in sand with peak friction angles between 40 and 50° was performed. Laboratory triaxial tests indicated that the dilation angle varied between 10 and 25° for these peak friction angles. To account for soil behavior exhibiting nonassociated flow (NAF), in which the dilation angle is much less than the friction angle, a limit equilibrium plane strain analytical solution for plate anchor uplift was updated and extended to axisymmetric conditions. Anchor test results were compared with upper bound (UB) plasticity solutions (based on associated flow) and the newly developed NAF limit equilibrium model. The UB solution overpredicted uplift capacity by more than a factor of 2, whereas the limit equilibrium model had a ratio of calculated to measured capacity of 1.15 and a coefficient of variation of 0.14. Although additional study is warranted, the consistency among the numerical, analytical, and experimental results gives confidence in the further application of the NAF limit equilibrium analytical solution presented in this paper.

Get full access to this article

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

Acknowledgments

The authors acknowledge Optum CE for an advanced version of Optum G2 that includes axisymmetric analyses. The first and second authors acknowledge that this material is based upon work partially supported by the National Science Foundation under Grant No. 1300142. The third author acknowledges support for work on this paper through a Martin Fahey Visiting Fellowship at the University of Western Australia, Centre for Offshore Foundation Systems. Last, the authors thank Marcus Rasulo for the useful comments that improved this paper.

References

Alshibli, K. A. (2015). “Stress-dilatancy response of fine golden flint sand.” Rep. Prepared for Ocean Engineering Div., NAVFAC, Port Hueneme, CA.
Andersen, E. D., Roos, C., and Terlaky, T. (2003). “On implementing a primal-dual interior-point method for conic quadratic optimization.” Math. Program., 95(2), 249–277.
Bolton, M. (1986). “The strength and dilatancy of sands.” Géotechnique, 36(1), 65–78.
Byrne, B. W., and Houlsby, G. T. (2015). “Helical piles: An innovative foundation design option for offshore wind turbines.” Philos. Trans. R. Soc. London, Ser. A, 373(2035), 20140081.
Chakraborty, T., and Salgado, R. (2010). “Dilatancy and shear strength of sand at low confining pressures.” J. Geotech. Geoenviron. Eng., 527–532.
Cheuk, C., White, D., and Bolton, M. (2007). “Uplift mechanisms of pipes buried in sand.” J. Geotech. Geoenviron. Eng., 154–163.
Cho, G., Dodds, J., and Santamarina, J. (2006). “Particle shape effects on packing density, stiffness, and strength: natural and crushed sands.” J. Geotech. Geoenviron. Eng, 591–602.
Davis, E. H. (1968). “Theories of plasticity and the failure of soil masses.” Soil mechanics: selected topics, I. K. Lee, ed., Butterworths, London, 341–380.
Drescher, A., and Detournay, E. (1993). “Limit load in translational failure mechanisms for associative and non-associative materials.” Géotechnique, 43(3), 443–456.
Ghaly, A., and Hanna, A. (1994). “Ultimate pullout resistance of single vertical anchors.” Can. Geotech. J., 31(5), 661–672.
Giampa, J. R. (2014). “Interpretation of shallow helical anchor capacity in sand.” M.S. thesis, Univ. of Rhode Island, Kingston, RI.
Ilamparuthi, K., Dickin, E. A., and Muthukrisnaiah, K. (2002). “Experimental investigation of the uplift behavior of circular plate anchors embedded in sand.” Can. Geotech. J., 39(3), 648–664.
Koutsabeloulis, N. C., and Griffiths, D. V. (1989). “Numerical modelling of the trap door problem.” Géotechnique, 39(1), 77–89.
Krabbenhoft, K. (2009). “A variational principle of elastoplasticity and its application to the modeling of frictional materials.” Int. J. Solids Struct., 46(3–4), 464–479.
Krabbenhoft, K., and Damkilde, L. (2003). “A general non-linear optimization algorithm for lower bound limit analysis.” Int. J. Numer. Methods Eng., 56(2), 165–184.
Krabbenhoft, K., Karim, M. R., Lyamin, A. V., and Sloan, S. W. (2012). “Associated computational plasticity schemes for nonassociated frictional materials.” Int. J. Numer. Methods Eng., 90(9), 1089–1117.
Krabbenhoft, K., Lyamin, A. V., Hjiaj, M., and Sloan, S. W. (2005). “A new discontinuous upper bound limit analysis formulation.” Int. J. Numer. Methods Eng., 63(7), 1069–1088.
Krabbenhoft, K., Lyamin, A. V., and Sloan, S. W. (2007a). “An interior-point method for elastoplasticity.” Int. J. Numer. Methods Eng., 69, 592–626.
Krabbenhoft, K., Lyamin, A. V., and Sloan, S. W. (2007b). “Formation and solution of some plasticity problems as conic programs.” Int. J. Solids Struct., 44(5), 1533–1549.
Krabbenhoft, K., Lyamin, A. V., and Sloan, S. W. (2008). “Three-dimensional Mohr-Coulomb limit analysis using semi-definite programming.” Commun. Numer. Methods Eng., 24(11), 1107–1119.
Liu, J., Liu, M., and Zhu, Z. (2012a). “Sand deformation around an uplift plate anchor.” J. Geotech. Geoenviron. Eng., 728–737.
Liu, Q. B., and Lehane, B. M. (2012b). “The influence of particle shape on the (centrifuge) cone penetration test (CPT) end resistance in uniformly graded granular soils.” Géotechnique, 62(11), 973–984.
Loukidis, D., Chakraborty, T., and Salgado, R. (2008). “Bearing capacity of strip footings on purely frictional soil under eccentric and inclined loads.” Can. Geotech. J., 45(6), 768–787.
Loukidis, D., and Salgado, R. (2009). “Bearing capacity of strip and circular footings in sand using finite elements.” Comput. Geotech., 36(5), 871–879.
Lutenegger, A. J. (2011). “Historical development of iron screw-pile foundations: 1836–1900.” Int. J. Hist. Eng. Technol., 81(1), 108–128.
Lyamin, A. V. (1999). “Three-dimensional lower bound limit analysis using nonlinear programming.” Ph.D. thesis, Univ. of Newcastle, New Castle, Australia.
Lyamin, A. V., Krabbenhoft, K., Abbo, A., and Sloan, S. W. (2005a). “General approach to modelling discontinuities in limit analysis.” Proc., IACMAG 11, Politecnico di Torino, Turin, Italy.
Lyamin, A. V., Krabbenhoft, K., and Sloan, S. (2011). “Interface modelling in computational limit analysis.” Recent Dev. Innovative Appl. Comput. Mech., 321–330.
Lyamin, A. V., Krabbenhoft, K., Sloan, S. W., and Hjiaj, M. (2004). “An adaptive algorithm for upper bound limit analysis using discontinuous velocity fields.” Proc., 4th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS, P. Neittaanmaki, T. Rossi, K. Majava, and O. Pironneau, eds., Jyvaskyla, Finland, 1–11.
Lyamin, A. V., and Sloan, S. W. (2002a). “Lower bound limit analysis using non-linear programming.” Int. J. Numer. Methods Eng., 55, 573–611.
Lyamin, A. V., and Sloan, S. W. (2002b). “Upper bound limit analysis using linear finite elements and non-linear programming.” Int. J. Numer. Anal. Methods Geomech., 26(2), 181–216.
Lyamin, A. V., Sloan, S. W., Krabbenhoft, K., and Hjiaj, M. (2005b). “Lower bound limit analysis with adaptive remeshing.” Int. J. Numer. Anal. Methods Geomech., 63, 1961–1974.
Merifield, R., Lyamin, A., and Sloan, S. (2006). “Three-dimensional lower-bound solutions for the stability of plate anchors in sand.” Géotechnique, 56(2), 123–132.
Meyerhof, G., and Adams, J. (1968). “The ultimate uplift capacity of foundations.” Can. Geotech. J., 5(4), 225–244.
Murray, E., and Geddes, J. (1987). “Uplift of anchor plates in sand.” J. Geotech Engrg., 202–215.
Optum CE. (2014a). Optum G2, analysis, Optum Computational Engineering, Newcastle, New South Wales, Australia.
Optum CE. (2014b). Optum G2, theory, Optum Computational Engineering, Newcastle, New South Wales, Australia.
Rowe, R. K., and Davis, E. (1982). “The behaviour of anchor plates in sand.” Géotechnique, 32(1), 25–41.
Sakai, T., and Tanaka, T. (1998). “Scale effect of a shallow circular anchor in dense sand.” Soils Found., 38(2), 93–99.
Salgado, R., Bandini, P., and Karim, A. (2000). “Shear strength and stiffness of silty sand.” J. Geotech. Geoenviron. Eng., 451–462.
Sarac, D. Z. (1989). “The uplift capacity of shallow buried anchor slabs.” Proc., 12th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 2, Balkema, Rotterdam, Netherlands, 1213–1218.
Simoni, A., and Houlsby, G. T. (2006). The direct shear strength and dilatancy of sand-gravel mixtures.” Geotech. Geol. Eng., 24(3), 523–549.
Sloan, S. W. (2013). “Geotechnical stability analysis.” Géotechnique, 63(7), 531–572.
Smith, C. (1998). “Limit loads for an anchor/trapdoor embedded in an associative Coulomb soil.” Int. J. Numer. Anal. Methods Geomech., 22(11), 855–865.
Smith, C. C. (2012). “Limit loads for a shallow anchor/trapdoor embedded in a non-associative Coulomb soil.” Géotechnique, 62(7), 563–571.
Tufenkjian, M., and Yee, E. (2006). “Soil friction angle and relative density of sand from minicone penetration tests at shallow depth.” Rep. prepared for Ocean Engineering Div., Naval Facilities Engineering Service Center, Port Hueneme, CA.
Vermeer, P. A., and Sutjiadi, W. (1985). “The uplift resistance of shallow embedded anchors.” Proc., 11th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 3, Balkema, Rotterdam, Netherlands, 1635–1638.
Vesic, A. S. (1971). “Breakout resistance of objects embedded in ocean bottom.” Soil Mech. Found. Eng. Div., 97(9), 1183–1205.
White, D. J., Cheuk, C. Y., and Bolton, M. (2008). “The uplift resistance of pipes and plate anchors buried in sand.” Géotechnique, 58(10), 771–779.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 17Issue 2February 2017

History

Received: Dec 11, 2015
Accepted: Apr 19, 2016
Published online: Jun 8, 2016
Discussion open until: Nov 8, 2016
Published in print: Feb 1, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Joseph R. Giampa, S.M.ASCE [email protected]
Ph.D. Candidate, Dept. of Civil and Environmental Engineering, Univ. of Rhode Island, Kingston, RI 02881 (corresponding author). E-mail: [email protected]
Aaron S. Bradshaw, Ph.D., P.E., A.M.ASCE [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Rhode Island, Kingston, RI 02881. E-mail: [email protected]
James A. Schneider
Ph.D., P.E.
Civil Engineer, Ocean Facilities Dept., 1100 23rd Ave., NAVFAC EXWC, Port Hueneme, CA 93043.

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