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Active Earth Pressure - The Mazindrani Theory (Rankine)

Active earth pressure is given by the following formula:

where:

σz

-

vertical geostatic stress

Ka

-

coefficient of active earth pressure due to Rankine

β

-

slope inclination

γ

-

weight of soil

z

-

assumed depth

-

coefficient of active earth pressure due to Mazindrani

where:

β

-

slope inclination

φ

-

angle of internal friction of soil

c

-

cohesion of soil

Assuming cohesionless soils (c = 0) and horizontal ground surface (β = 0) yields the Rankine solution, for which the active earth pressure is provided by:

and the coefficient of active earth pressure becomes:

where:

φ

-

angle of internal friction of soil

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

Literature:

Mazindrani, Z.H., and Ganjali, M.H. 1997. Lateral earth pressure problem of cohesive backfill with inclined surface. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 123(2): 110-112.