Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305446298
Author: Braja M. Das
Publisher: Cengage Learning US
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Chapter 12, Problem 12.4P
To determine
Find the Rankine’s active force per unit length of the wall after the occurrence of the tensile crack.
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A retaining wall 6 m high with a vertical back face has c'- ϕ' soil for backfill. For the backfill, γ = 18.1 kN/m^3, c' = 29 kN/m^2, and ϕ' = 18˚. Taking the existence of the tensile crack into consideration,
a. determine the active force, Pa, per unit length of the wall for Rankine’s active state.
b. determine the passive force, Pp, per unit length for Rankine's passive state.
A 6m retaining wall is supporting a soil with the following properties:Unit weight = 16 KN/cu.mAngle of internal friction = 25ºCohesion = 14 Kpaa. Assuming no tensile cracks occurs in the soil; determine its normal pressure acting at the back of the wall.b. If tensile crack occurs in the soil, calculate its active pressure acting on the wall.c. Find the location of tensile crack measured from the surface of horizontal backfill.
Q5) Refer to the Figure below. Given the height of the retaining wall, H is 5.4 m; the backfill is a saturated
clay with Ø' = 0, c= 40 kN/m2, ysat = 19.5kN/m,
a. Determine the Rankine active pressure distribution diagram behind the wall.
b. Determine the depth of the tensile crack, zc.
c. Estimate the Rankine active force per meter length of the wall before and after the
occurrence of the tensile crack.
Wall
movement
to left
45 + d'/2
45 + 6'/2
Rotation of wall
about this point
(а)
Chapter 12 Solutions
Principles of Foundation Engineering, SI Edition
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- A retaining wall 6 m high with a vertical back face retains a homogeneous saturated soft clay. The saturated unit weight of the clay is 19.8 kN/m^3. Laboratory tests showed that the undrained shear strength, cu, of the clay is 14.7 kN/m^2. a. Do the necessary calculations and draw the variation of Rankine’s active pressure on the wall with depth. b. Find the depth up to which a tensile crack can occur. c. Determine the total active force per unit length of the wall before the tensile crack occurs. d. Determine the total active force per unit length of the wall after the tensile crack occurs. Also find the location of the resultant.arrow_forwardRefer to Figure 12.6a. Given the height of the retaining wall, H is 18 ft; the backfill is a saturated clay with Φ = 0º, c = 500 lb/ft2, γsat = 120 lb/ft3,a. Determine the Rankine active pressure distribution diagram behind the wall.b. Determine the depth of the tensile crack, zc.c. Estimate the Rankine active force per foot length of the wall before and after the occurrence of the tensile crack.arrow_forwardConsidering that the horizontal thrust from the back of a 5.5 m wide brick wall to the 1 m deep part of the wall is H = 55 kN a) Find the greatest stress in the base when b = 2 m.b) Find the width b so that there is a shrinkage zone at the base.(Note: unit weight of brick wall ỿ = 24 kN / m3 ) Answer: ϭmax=0,30 Mpa, b=2,23 marrow_forward
- Refer to Figure 12.10. Given: H = 7 m, γ = 18 kN/m3, Φ' = 25º, c' = 12 kN/m2, and α = 10º. Calculate the Rankine active force per unit length of the wall after the occurrence of the tensile crack.arrow_forwardA 5 m high retaining wall is supporting the soil having properties as shown below: 5m $ = 30° c = 10 kN/m² Y=17.5 kN/m 3 The Rankine active earth pressure (per meter length) on the wall after the formation of tensile crack isarrow_forwardGiven the height of the retaining wall, H is 6.4 m; the backfill is a saturated clay with f 5 08, c 5 30.2 kN/m2 , gsat 5 17.76 kN/m3 , a. Determine the Rankine active pressure distribution diagram behind the wall. b. Determine the depth of the tensile crack, zc. c. Estimate the Rankine active force per foot length of the wall before and after the occurrence of the tensile crack.arrow_forward
- 12.7 Given: 1 = 7 m, y = 18 kN/m', ' = 25°, c' = 12 kN/m², and a = 10°. Calculate the Rankine active force per unit length of the wall after the occurrence of the tensile crack, Groundwater table H Figure P12.2arrow_forwardis 7 m high with a horizontal backfill. For 12.4 A vertical retaining wall the backfill, assume that y = 16.5 kN/m', ' 26°, and c' = 18 kN/m2. Determine the Rankine active force per unit length of the wall after the occurrence of the tensile crack. For the retaining wall, determine the Rankine active force per unit length of the wall and the location of the line of action of the 12.5 resultant. 12.6 For the retaining wall, H = 8 m, h' = 36°, a = 10°, y = 17 kN/m', and e' = 0. a. Determine the intensity of the Rankine active force at z 2 m, 4 m, and 6 m. b. Determine the Rankine active force per meter length of the wall and also the location and direction of the resultant. 12.7 Given: H = 7 m, y = 18 kN/m', ' = 25°, c' = 12 kN/m2, and a = 10°. Calculate the Rankine active force per unit length of the wall after the occurrence of the tensile crack. YI H Groundwater table H Figure P12.2arrow_forward1. A vertical retaining wall has a height of 5.5m. it supports a soft backfill with a unit weight of 15.5 KN/m³ and has a cohesion of 16.6 KN/m². The undrained angle friction is 0 Determine the A. Max. Depth of the tensile crack B. The lateral force before tensile cracks occur C. The lateral force after tensile cracks occurarrow_forward
- Q.2 The thin-walled section is shown in figure has uniform wall thickness of 0.5 in. Assume a = 1 in, b = 3 in, h = 8 in. if it is subjected to vertical downward shear force, V = 1200 lb. a) Draw the shear flow diagram for the cross section. b) Compute the distance e from the center line of the wall to the shear center S.arrow_forwardIt was found that the backfill against a retaining wall (6 meters in height as shown in Figure 3) has specify weight y= 16 kN/m³ when its water content w= 5 %, S = 0.12, its internal friction angle was measured as 30° (take G,= 2.7 and xw = 10 kN/m³). a. Predict distribution of lateral stress on this retaining wall along its depth in its “at rest" state, and its resultant force. b. Rain leads the backfill water content increase to 10% in its upper half, and saturated in its lower half, find and plot its lateral stress and pore pressures along its depth in an active state.arrow_forwardFor a vertical retaining wall with a height H = 18 ft, backfill is a saturated clay with Φ= 0,C =500 Ib/ft', γsat = 120 Ib/ft3a. Determine the Rankine active pressure distribution diagram behind the wall.b. Determine the depth of the tensile crack.c. Determine the recommended pressure on the wall.arrow_forward
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