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Active earth pressure - the Caqouot 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, Caqouot) 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 structure - 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 structure - 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 structure - soil
α - back face inclination of the structure



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