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<br />EM 111().2.2504 <br />31 Mar 94 <br /> <br />WALL <br /> <br /> <br />SOIL SURFACE <br /> <br />z <br /> <br />~ <br /> <br />PA <br /> <br />FAILURE PLANE <br /> <br />Figure 4-4. Soli wedge. lor Coulomb earth pre..ure theory <br />values of active pressure given by <br /> <br />P" . yz K... - 2c IK... <br /> <br />(4-3) <br /> <br />and passive pressure given by <br />Pp . yz Xp + 2c Ixp <br /> <br />(4-4) <br /> <br />where KA and Kp are coefficienls of active and passive <br />earth pressures given by and <br /> <br />....2(+ _ 8) <br /> <br />_28_(8.6)[1. .ia(+.6).ia(+-p) r <br />....(6.+)001(11-+) <br /> <br />KA" <br /> <br />(4-5) <br /> <br />and <br /> <br />Kp" <br /> <br />_2(+ _ 8) <br /> <br />00128_(8.6)[' - .ia(+.6).ia(+.p) r <br />_(6 -+)OOI(P -+) <br /> <br />(4-6) <br /> <br />b. CoeJficielll me/hod lor soil pressures. The <br />Coulomb theory oul1ined in paragraph 4.3a, allhough <br />originally developed for homogeneous soils, is usumed <br /> <br />.... <br /> <br />. <br /> <br /> <br />WALL <br /> <br />Pp <br /> <br />~ <br /> <br />l W ~TAN.+CL <br /> <br />'/C <br />/""-N <br /> <br /> <br />V FAILURE PlANE <br />b. Passive state <br /> <br />10 apply 10 layered soil systems composed of horiwnlal. <br />homogeneous layers. The prodUCI yz in Equations 4-3 <br />and 4-4 is Ihe geoslatic soil pressure al deplh z in Ihe <br />homogeneous sySIem. In a layered syslem this Ierm is <br />replaced by Ihe effective vertical soil pressure Pv 31 <br />depth z including Ihe effecls of submergence and seep- <br />age on Ihe soil unil weight The active and passive <br />earth pressures 31 any painl are oblained from <br /> <br />e) <br /> <br />p" . Pv K... - 2c~ <br /> <br />(4-7) <br /> <br />Pp . Pv K... + 2cIK... <br /> <br />(4-8) <br /> <br />where K A and X p are Ihe coefficienls of active and pas- <br />sive earth pressure from equations 4-5 and 4-6 wilh . <br />and c being Ihe "effective" (see subsequenl discussion of <br />soil faclor of safely) strenglh properties and Ii is Ihe <br />angle of wall friction at Ihe poinl of inleresl. This pr0- <br />cedure can result in large discontinuities in calcul3led <br />pressure disbibutions at soil layer boundaries. <br /> <br />e) <br />