ABSTRACT

Pp-Pa =r(H+D)+qu-yD+qu =yH+ 2qu =/5' (20.15)

(20.16)

For static equilibrium, the sum of all the horizontal forces must be equal zero, that is,

Simplifying,

Pa + 2Quh - 2QuD + rHD =0 , therefore,

2qu

Also, for equilibrium, the sum of the moments at any point should be zero. Taking moments about the base,

_ h2 (2qu - Y H)D2 Pa(y+D)+6(2qu)- 2 =0

Substituting for h in (Eq. 20.17) and simplifying,

(20.17)

(20.18)

where

Pa(6quY+Pa) C3 = (qu +r H)

The depth computed from Eq. (20.18) should be increased by 20 to 40 percent so that a factor of safety of 1.5 to 2.0 may be obtained. Alternatively the unconfined compressive strength qu may be divided by a factor of safety.