Consider the planar block slide in the sketch. (a) Show algebraically that reduction of the slide mass

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Consider the planar block slide in the sketch. 

(a) Show algebraically that reduction of the slide mass volume from Vo to V1 by excavating a relieving bench near the crest necessarily increases the safety factor, provided the water table is lowered below the toe. 

(b) Show that placing a berm of weight W1 at the toe of the slide, where cohesion c1 and friction angle φ1 are mobilized at the berm bottom, necessarily increases the safety factor, other factors remaining the same.

he VI hw WT с, Ф н wi

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