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Lateral earth pressure
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Lateral earth pressure : ウィキペディア英語版
Lateral earth pressure

Lateral earth pressure is the pressure that soil exerts in the horizontal direction. The lateral earth pressure is important because it affects the consolidation behavior and strength of the soil and because it is considered in the design of geotechnical engineering structures such as retaining walls, basements, tunnels, deep foundations and braced excavations.
The coefficient of lateral earth pressure, K, is defined as the ratio of the horizontal effective stress, σ’h, to the vertical effective stress, σ’v. The effective stress is the intergranular stress calculated by subtracting the pore pressure from the total stress as described in soil mechanics. K for a particular soil deposit is a function of the soil properties and the stress history. The minimum stable value of K is called the active earth pressure coefficient, Ka; the active earth pressure is obtained, for example,when a retaining wall moves away from the soil. The maximum stable value of K is called the passive earth pressure coefficient, Kp; the passive earth pressure would develop, for example against a vertical plow that is pushing soil horizontally. For a level ground deposit with zero lateral strain in the soil, the "at-rest" coefficient of lateral earth pressure, K0 is obtained.
There are many theories for predicting lateral earth pressure; some are empirically based, and some are analytically derived.
== At rest pressure ==

At rest lateral earth pressure, represented as K0, is the ''in situ'' lateral pressure. It can be measured directly by a dilatometer test (DMT) or a borehole pressuremeter test (PMT). As these are rather expensive tests, empirical relations have been created in order to predict at rest pressure with less involved soil testing, and relate to the angle of shearing resistance. Two of the more commonly used are presented below.
Jaky (1948)〔Jaky J. (1948) Pressure in silos, 2nd ICSMFE, London, Vol. 1, pp 103-107.〕 for normally consolidated soils:
: K_ = 1 - \sin \phi ' \
Mayne & Kulhawy (1982)〔Mayne, P.W. and Kulhawy, F.H. (1982). “K0-OCR relationships in soil”. Journal of Geotechnical
Engineering, Vol. 108 (GT6), 851-872.〕 for overconsolidated soils:
: K_ = K_
* OCR^ \
The latter requires the OCR profile with depth to be determined. OCR is the overconsolidation ratio and \phi ' is the effective stress friction angle.
To estimate K0 due to compaction pressures, refer Ingold (1979)〔Ingold, T.S., (1979) The effects of compaction on retaining walls, Gèotechnique, 29, p265-283.〕

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