Acta Geotechnica

, Volume 6, Issue 1, pp 21–29

Passive earth pressure on embedded vertical plate anchors in sand

Research Paper

DOI: 10.1007/s11440-010-0109-0

Cite this article as:
Hanna, A., Rahman, F. & Ayadat, T. Acta Geotech. (2011) 6: 21. doi:10.1007/s11440-010-0109-0

Abstract

Passive earth pressure on embedded anchor plates constitutes a viable resisting force for the design of underground structures. In the current practice, these forces are empirically calculated, ignoring the effects of the depth of embedment and the level of consolidation of the surrounding soil, which takes place during plate installation on the in situ stress levels. Accordingly, wide discrepancies between predicted and measured pullout capacities of these plates were reported in the literature. Numerical model was developed using finite-element technique and the constitutive law of Mohr–Coulomb to simulate the case of a retaining wall partially supported by an embedded anchor plate in sand. The results produced in this investigation showed that the passive earth pressure acting on anchor plates increases due to the increase of angle of shearing resistance and the overconsolidation ratio of sand, and it decreases due to an increase of the embedment depth of anchor. Design theories were developed for the case of embedded anchor plate in overconsolidated sand. The theories developed will satisfy the design needed in terms of allowable pullout load and/or displacement.

Keywords

Cohesionless soilCritical depthDisplacementOverconsolidation ratioPassive earth pressurePlate anchorsPullout capacity

List of symbols

c

Cohesion

H

Depth of embedment of anchor plate

deq

Equivalent thickness of the plate material

E

Young’s modulus of soil

ey

Eccentricity

EA

Axial stiffness

EI

Flexural rigidity

hCG

Location of center of gravity from the top of the anchor plate

H

Height of the retaining wall

ha

Height of the anchor plate

I

Moment of inertia

Kp

Coefficient of passive earth pressure

Ko

Coefficient of earth pressure at rest

Kp(NC)

Coefficient of passive earth pressure for normally consolidated soil

Kp(OC)

Coefficient of passive earth pressure for overconsolidated soil

Kq

Coefficient

OCR

Overconsolidation ratio

Pult

Ultimate load

Rinter

Strength reduction factor

R

Reduction factor

W

Weight of the plate material

μ

Poisson’s ratio

ψ

Angle of dilatancy

Δ

Displacement

φ

Angle of shearing resistance

λ

Rotational angle of vertical anchor plate

δ

Angle of wall soil friction

τ

Shear strength of soil

σ′

Principal effective stress

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of Building, Civil and Environmental EngineeringConcordia UniversityMontréalCanada