None of the contributing forces acting on slices is ignored using this method that was the first to describe the problems of conventional methods.

The equations used to resolve the problem are:

 

ΣFv = 0, ΣM0 = 0, failure criterion.

 

 

 

Actions acting on the i-th slice according to Bishop (ordinary method)

 

The values of F and ΔX for each item that satisfy this equation give a rigorous solution to the problem. As a first approximation should be taken ΔX = 0 and iterate for calculating the factor of safety, this procedure is known as the ordinary method of Bishop, the errors made compared to the complete method are about 1%.

 

 

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