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Active earth pressure – the Mazindrani theory
Active earth pressure is given by the following formula:
| where: | σz | - | vertical geostatic stress |
| Ka | - | coefficient of active earth pressure due to Rankin | |
| 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 Rankin 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 structure - 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.
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