It can be shown by trigonometry that

6.3.2 Rankine's theory (soil surface sloping at angle (3)

This problem is illustrated in Fig. 6.4. The evaluation of Ka may be carried out in a similar manner to the previous case, but the vertical pressure will no longer be a principal stress. The pressure on the wall is assumed to act parallel to the surface of the soil, i.e. at angle /? to the horizontal. The active pressure, pa, is still given by the expression:

Pa = Ka7h where

(a) Mohr diagram
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