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Active Earth Pressure - The Caquot Theory

Active earth pressure is given by the following formula:

where:

σz

-

vertical geostatic stress

cef

-

effective cohesion of soil

Ka

-

coefficient of active earth pressure

Kac

-

coefficient of active earth pressure due to cohesion

The following analytical solution (Boussinesque, Caquot) is implemented to compute the coefficient of active earth pressure Ka:

where:

Ka

-

coefficient of active earth pressure due to Caquot

KaCoulomb

-

coefficient of active earth pressure due to Coulomb

ρ

-

conversion coefficient - see further

where:

β

-

slope inclination behind the structure

φ

-

angle of internal friction of soil

δ

-

angle of friction between structure and soil

The coefficient of active earth pressure Kac is given by:

for:

for:

where:

φ

-

angle of internal friction of soil

δ

-

angle of friction between structure and soil

β

-

slope inclination behind the structure

α

-

back face inclination of the structure

Horizontal and vertical components of the active earth pressure become:

where:

σa

-

active earth pressure

δ

-

angle of friction between structure and soil

α

-

back face inclination of the structure