3 Calcualte the horizontal and vertical active earth pressur

3) Calcualte the horizontal and vertical active earth pressure forces for the inclined backfill case. 150 ? 350 30 ft 125pcf

Solution

Solution:-

Given

i = 15 degree

?’ = 35 degree

Y = 125 pcf

H = 30 feet

Active earth pressure = 1/2 * Ka *Y * H²

Ka = cos(i) * cos(i) - ?((cosi)² –(cos?’)²)/( cosi + ?((cosi)² + (cos?’)²))

K_{a =} 0.298

Active earth pressure (P_a) = 1/2 * 0.298 * 125 * 30² = 56250 pound/feet    Answer

Passive earth pressure(P_p) = 1/2 * Kp * Y * H²

Kp = cos15 * 1.47/0.454= 3.127

Passive earth pressure(P_p) = 1/2 * 3.127 * 125 * 30² = 175893.7 pound/feet    Answer