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Fellenius / Petterson

The simplest method of slices assumes only the overall moment equation of equilibrium written with respect to the center of the slip surface. The shear and normal forces between blocks Xi and Ei are neglected. The factor of safety SF follows directly from the following expression:

where:

ui

-

pore pressure within block

ci,φi

-

effective values of soil parameters

Wi

-

block weight

Ni

-

normal force on the segment of the slip surface

αi

-

inclination of the segment of the slip surface

li

-

length of the segment of the slip surface

Literature:

Petterson KE (1955) The early history of circular sliding surfaces. Geotechnique 5:275-296.