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Abstract Through dividing the potential sliding body into slices and introducing several reasonable assumptions to forces acting between columns，the static equilibrium analysis is conducted for the columns and the sliding body，and the anti-sliding forces between columns and the normal force acting on sliding surface are thus calculated. On the basis of the definition of the vector sum factor of safety，a three-dimensional method of columns is proposed. It is indicated through some examples that for planar sliding surfaces and symmetrical sliding surfaces the factor of safety based on the definition of vector sum is in agreement with that based on the strength reduction. If the sliding surface is more complicated，the former is usually less than the latter.
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Received: 03 March 2010
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2011, Vol. 30 
