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Uplift Capacity of Single Bent Pile and Pile Group Considering Arching Effects in Sand

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An Erratum to this article was published on 04 April 2010

Abstract

In this paper an analytical method has been proposed to predict the net ultimate uplift capacity of the single bent pile and pile group with a bent embedded in sand considering arching effects. Arching develops due to relative compressibility of sand relative to pile which activates the soil-pile friction. The method takes into consideration the embedded length (L), diameter of the pile (d), bent angle, surface characteristics of pile, group configuration, spacing of the pile group and the soil properties. Log spiral failure surface with parabolic arch shape was assumed in the analysis. Theoretical investigation for uplift capacity was been carried out for the single bent pile and group of pile (2 × 1, 2 × 2) embedded in sand. The variable used in the analysis were embedded length to pile diameter (L/d = 15, 20 and 25), spacing in the group (3d, 4d and 6d) and angle of bent (6°, 14° and 20°). Typical charts for evaluation of net ultimate uplift capacity for pile groups are presented through the figures. Comparison of theoretical results shows good agreement with established experimental results.

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Abbreviations

a :

C/C distance between pile in horizontal axis

b :

C/C distance between pile in vertical axis

C :

Shape factor

d :

Pile diameter in group

F ss :

Resisting shear force

K s :

Lateral earth pressure coefficient

K awn :

New active lateral stress ratio proposed in this study

P u :

Ultimate uplift capacity of pile

Δz :

Thickness of wedge element

B :

Width of failure surface

H :

Height of the pile group

dH :

Differential height

K awn :

Coefficient of lateral earth pressure considering arching

δ:

Friction angle of at the interface of soil and pile

γ:

Unit weight of soil

θ:

Angle of rotation of principal stresses at wall

σ1, σ3 :

Major and minor principal stress

σah :

Active lateral stress at arbitrary point on differential flat element

σahw :

Active lateral stress at wall

σvw :

Vertical stress across on differential flat element

\( \bar{\sigma }_{v} \) :

Average value of σ v over differential flat element

τ f :

Frictional resistance at the slip surface

τ w :

Frictional resistance at the interface

ψ:

Angle of inclination of failure surface

ϕ:

Internal friction angle of backfill

ω:

Angle of revolution

β:

Constant

α1,2,3,4 :

Angle of revolution

α:

Constant

X :

Radius of revolution

X a :

Radius of revolution of elementary area in x axis

X b :

Radius of revolution of elementary area in y axis

V ss :

Volume of sand inside the rupture surface of the pile group

R R :

Radius of circle of intersection of the rupture surface with the sand surface

R T :

Radius of circle produced from intersection of a tangent to the rupture surface with the horizontal plane

r 1,2,3,4 :

Radius of revolution

r 0 :

Initial radius of revolution

W ss :

Weight of the soil confined in failure surface

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Authors and Affiliations

  1. Department of Civil Engineering and Engineering Mechanics, University of Arizona, Tucson, AZ, 85705, USA

    Amit Shelke

  2. Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA, USA

    Sudib Mishra

Authors
  1. Amit Shelke
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  2. Sudib Mishra
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Correspondence to Amit Shelke.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s10706-010-9322-8

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Shelke, A., Mishra, S. Uplift Capacity of Single Bent Pile and Pile Group Considering Arching Effects in Sand. Geotech Geol Eng 28, 337–347 (2010). https://doi.org/10.1007/s10706-009-9295-7

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