Technical Papers
Jun 29, 2022

Analytical Solutions for Ultimate Stabilizing Action of Anchored Piles in Cohesive Soil Layers

Publication: International Journal of Geomechanics
Volume 22, Issue 9

Abstract

The design of slope-stabilizing piles is still an open issue for civil engineers, owing to the high number of variables to be determined in the design process and to the complexity of soil–structure interaction problems. In this paper, in the simplified case of subhorizontal cohesive soil strata, analytical solutions are proposed for the maximum available stabilizing action for a pile, also considering the possible presence of an anchor at the pile’s head, and thus extending some results already available in literature. Within the framework of an ultimate limit state approach, the influence of soil mechanical properties, of pile characteristics, and of the anchor strength are investigated, and some dimensionless abaci are analytically derived. The solutions demonstrate a marked coupling effect between tensile anchor strength and pile-bending resistance, and an explicit optimization strategy for a safe and effective dimensioning is provided. The results can be profitably employed in the most common limit equilibrium methods for slope stability analysis.

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Data Availability Statement

All data, models, or code generated or used during the study appear in the published article.

Acknowledgments

The authors want to kindly acknowledge CEAS, who contributed in funding the present research.

Notation

The following symbols are used in this paper:
A, zA
stabilizing action and its depth of application;
a, ζA
dimensionless values of the stabilizing action and of its depth of application;
d, l
pile diameter and length;
f1, f2
soil reaction values;
ku1, ku2
soil-bearing capacity factors;
l1, l2
thickness of the unstable layer, anchoring length of the pile into the stable soil;
M1
pile-bending moment at the depth l1;
My, Ty
pile-bending capacity and anchor tensile strength;
mu, tu
dimensionless pile-bending capacity and tensile anchor strength;
mu,lim, mu,opt
limit and optimum values of the dimensionless pile-bending capacity;
su1, su2
undrained shear strength values;
T0,T0*
action in the anchor;
t0*,tu,lim
dimensionless values of the action in the anchor and of its limit strength;
U(z), f(z)
distributions of soil displacement profile and soil reaction forces along depth;
z
depth below ground level;
z1, z2, z3
unknown depths along pile shaft;
λ
dimensionless anchoring pile length;
λlim, λopt
limit and optimum values of the dimensionless anchoring pile length; and
χu
parameter for soil mechanical properties.

References

Ausilio, E., E. Conte, and G. Dente. 2001. “Stability analysis of slopes reinforced with piles.” Comput. Geotech. 28 (8): 591–611. https://doi.org/10.1016/S0266-352X(01)00013-1.
Bellezza, I. 2020. “Closed-form expressions for a rigid passive pile in a two-layered soil.” Géotech. Lett. 10 (2): 242–249. https://doi.org/10.1680/jgele.19.00250.
Bellezza, I., and L. Caferri. 2018. “Ultimate lateral resistance of passive piles in non-cohesive soils.” Géotech. Lett. 8 (1): 5–12. https://doi.org/10.1680/jgele.17.00113.
Cai, F., and K. Ugai. 2000. “Numerical analysis of the stability of a slope reinforced with piles.” Soils Found. 40 (1): 73–84. https://doi.org/10.3208/sandf.40.73.
Chow, Y. K. 1996. “Analysis of piles used for slope stabilization.” Int. J. Numer. Anal. Methods Geomech. 20 (9): 635–646. https://doi.org/10.1002/(SICI)1096-9853(199609)20:9%3C635::AID-NAG839%3E3.0.CO;2-X.
Di Laora, R., R. M. S. Maiorano, and S. Aversa. 2017. “Ultimate lateral load of slope-stabilising piles.” Géotech. Lett. 7: 237–244. https://doi.org/10.1680/jgele.17.00038.
Frank, R., and P. Pouget. 2008. “Experimental pile subjected to long duration thrusts owing to a moving slope.” Géotechnique 58 (8): 645–658. https://doi.org/10.1680/geot.2008.58.8.645.
Fukuoka, M. 1977. “The effects of horizontal loads on piles due to landslides.” In Proc., 9th Int. Conf., on Soil Mechanics and Foundation Engineering, 27–42. Tokyo: Japanese Society of Soil Mechanics and Foundation Engineering.
Galli, A., and A. Bassani. 2018. “Innovative performance-based design of slope stabilizing piles for a railway embankment.” Eur. J. Environ. Civ. Eng. 22 (1): 99–121. https://doi.org/10.1080/19648189.2016.1179681.
Galli, A., and C. di Prisco. 2013. “Displacement-based design procedure for slope-stabilizing piles.” Can. Geotech. J. 50 (1): 41–53. https://doi.org/10.1139/cgj-2012-0104.
Galli, A., R. M. S. Maiorano, C. di Prisco, and S. Aversa. 2017. “Design of slope-stabilizing piles: From Ultimate Limit State approaches to displacement based methods.” Riv. Ital. Geotecnica 51 (3): 77–93.
Kourkoulis, R., F. Gelagoti, I. Anastasopoulos, and G. Gazetas. 2011. “Slope stabilizing piles and pile-groups: Parametric study and design insights.” J. Geotech. Geoenviron. Eng. 137 (7): 663–677. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000479.
Kourkoulis, R., F. Gelagoti, I. Anastasopoulos, and G. Gazetas. 2012. “Hybrid method for analysis and design of slope stabilizing piles.” J. Geotech. Geoenviron. Eng. 138 (1): 1–14. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000546.
Lei, G., D. Su, and M. A. Cabrera. 2021. “Nondimensional solutions for the stabilising piles in landslides in layered cohesive soils considering non-linear soil–pile interactions.” Géotechnique 1–15. https://doi.org/10.1680/jgeot.20.P.267.
Lirer, S. 2012. “Landslide stabilizing piles: Experimental evidences and numerical interpretation.” Eng. Geol. 149–150: 70–77. https://doi.org/10.1016/j.enggeo.2012.08.002.
Muraro, S., A. Madaschi, and A. Gajo. 2014. “On the reliability of 3D numerical analyses on passive piles used for slope stabilisation in frictional soils.” Géotechnique 64 (6): 486–492. https://doi.org/10.1680/geot.13.T.016.
Poulos, H. G. 1973. “Analysis of piles in soil undergoing lateral movement.” J. Soil Mech. Found. Div. 99 (5): 391–406. https://doi.org/10.1061/JSFEAQ.0001879.
Smethurst, J. A., N. Bicocchi, W. Powrie, and A. S. O’Brien. 2020. “Behaviour of discrete piles used to stabilise a tree-covered railway embankment.” Géotechnique 70 (9): 774–790. https://doi.org/10.1680/jgeot.18.P.150.
Smethurst, J. A., and W. Powrie. 2007. “Monitoring and analysis of the bending behavior of discrete piles used to stabilise a railway embankment.” Géotechnique 57 (8): 663–677. https://doi.org/10.1680/geot.2007.57.8.663.
Troncone, A., L. Pugliese, G. Lamanna, and E. Conte. 2021. “Prediction of rainfall-induced landslide movements in the presence of stabilizing piles.” Eng. Geol. 288: 106143. https://doi.org/10.1016/j.enggeo.2021.106143.
Viggiani, C. 1981. “Ultimate lateral load on piles used to stabilize landslides.” In Vol. 3 of Proc., of 10th Int. Conf. on Soil Mechanics and Foundation Engineering, 555–560. Rotterdam, Netherlands: Balkema.
Yan, Y., and S. Xiao. 2020. “A calculation method for the embedded depth of stabilizing piles in reinforced slopes.” Int. J. Numer. Anal. Methods Geomech. 44, 1077–1092. https://doi.org/10.1002/nag.3052.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 22Issue 9September 2022

History

Received: Oct 21, 2021
Accepted: Mar 16, 2022
Published online: Jun 29, 2022
Published in print: Sep 1, 2022
Discussion open until: Nov 29, 2022

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Authors

Affiliations

Associate Professor, Dept. of Civil and Environmental Engineering, Politecnico di Milano, piazza Leonardo da Vinci 32, 20133 Milano, Italy (corresponding author). ORCID: https://orcid.org/0000-0002-4754-5206. Email: [email protected]
Mauro Salice, Dr.Eng. [email protected]
Research Fellow, Dept. of Civil and Environmental Engineering, Politecnico di Milano, piazza Leonardo da Vinci 32, 20133 Milano, Italy. Email: [email protected]
Bruno Becci, Dr.Eng. [email protected]
Professional Engineer, CEAS s.r.l., viale Giustiniano 10, 20129 Milano, Italy. Email: [email protected]

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  • Using Geogrid Encased Granular Columns for Embankment’s Slope Protection: 3D-Finite Difference Analysis, Applied Sciences, 10.3390/app13042448, 13, 4, (2448), (2023).

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