Calcualte the active and passive earth pressure forces for t

Calcualte the active and passive earth pressure forces for the inclined backfill case.

6) Calcualte the active and passive earth pressure forces for the inclined backfill case is 150 ? = 350 ? = 100 ?=125pcf 30 ft 100

Solution

Solution

Given

?’ = 35 degree

? = 10 degree

i = 15 degree

? = 90 -10 = 80 degree

H = 30 feet

Active earth pressure(Pa) = 1/2 * Ka * Y * H²

Ka = (sin(? +?’))²/(sin²? *sin(? –?) *(1 + ?(sin(?’ +?)sin(?’ –i)/(sin(?-?)*sin(?+i))))²)

Ka = 0.397

Active earth pressure (Pa) = 1/2 * 0.397 * 125 * 30²

Active earth pressure(Pa) = 22331.25 pound/feet Answer

We know that

Kp = 7.54

Passive earth pressure(Pp) = 1/2 * 7.54* 125 * 30²

Passive earth pressure(P_p) = 424125 pound/feet    Answer