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Bishop

The simplified Bishop method assumes zero Xi forces between blocks. The method is based on satisfying the moment equation of equilibrium and the vertical force equation of equilibrium.

The factor of safety SF is found through a successive iteration of the following expression:

where:

ui

-

pore pressure within block

ci,φi

-

effective values of soil parameters

Wi

-

block weight

αi

-

inclination of the segment of the slip surface

bi

-

horizontal width of the block

Literature:

Bishop, A.W. (1955) "The Use of the Slip Circle in the Stability Analysis of Slopes", Geotechnique, Great Britain, Vol. 5, No. 1, Mar., pp. 7-17.