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;
- action in the anchor;
- 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
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© 2022 American Society of Civil Engineers.
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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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