Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 14, Problem 14.7P
(a)
To determine
Find the location and magnitude of the thrust on the wall for active state.
(b)
To determine
Find the location and magnitude of the thrust on the wall for at-rest state.
(c)
To determine
Find the location and magnitude of the thrust on the wall for passive state.
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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.
A vertical wall 6 m high above the water table,
retains a 20° soil slope, the retained soil has a
unit weight of 18 kN/m³, the appropriate shear
strength parameters are C = 0 and + = 40°.
The coefficient of active earth pressure to be used
in estimating the active pressure acting on the
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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.
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A braced wall is shown in Figure 14.20. Given: H = 7 m, naH = 2.8 m, =30, =20, = 18 kN/m3, and c = 0. Determine the active thrust, Pa, on the wall using the general wedge theory. Figure 14.20arrow_forwardQ.6 A rigid retaining wall 19.69 ft high has a saturated backfill of soft clay soil. The properties of the clay soil are ϒsat = 111.76 lb/ft3 , and unit cohesion cu = 376 lb/ft2 . Determine (a) the expected depth of the tensile crack in the soil (b) the active earth pressure before the occurrence of the tensile crack, (c) the active pressure after the occurrence of the tensile crack. I need solution of part c onlyarrow_forwardQ2 A smooth backed wall is 6m height and retain a soil with the properties shown in the Figure below. If the soil surface carries a uniform distribution pressure of 50 kN/m*. Determine the total Rankine active stresses on the wall and its positions. q-50 kN/m? Sand y= 20 kN/m Ø' = 20°arrow_forward
- 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.arrow_forwardProblem 3: A vertical retaining wall 6 m high is supporting a horizontal backfill having a weight 16.5 kN/m and a saturated unit weight of 19 kN/m?. Angle of trictian of the backfill is 30. Ground water table is located 3 m below the ground surface. 1. Determine the at rest lateral earth force per meter length of the wall. 3.0 m 2. Determine the location of the resultant force. 3. Determine the at rest lateral earth force per meter length af the wall if it carries a surcharge of 50 kPa. 3.0 marrow_forwardA wall of 8 m height retains sand having a density of 1.936 Mg/m3and angle of internal friction of 34°. If the surface of the backfill slopesupwards at 15° to the horizontal, find the active thrust per unit length ofthe wall. Use Rankine’s conditions.arrow_forward
- QUESTION 4. A retaining wall 6 m high with a vertical back face retains a homogenous saturated soft clay. The saturated unit weight of the clay is 19 kN/m3. Laboratory tests showed that the undrained shear strength, Cuof the clay is 16.8 kN/m3, f=0o. Do the necessary calculations and draw the variations of Rankine’s passive pressure on the wall with depth Determine the total passive force per unit length of the wall. Find the location of the resultant force?arrow_forwardProb.9. A retaining wall 6 m high with vertical back, supports a cohesive backfill having unit weight 19 kN/m³, apparent cohesion = 26 kN/m², an = angle of internal friction is zero. Calculate_ (i) Depth of tension crack (ii) lateral active earth pressure intensity at basearrow_forward3. Draw the pressure diagram of the retaining wall with the soil profile shown both in active and passive cases. Solve for the active and passive lateral force and its location from the bottom of the wall. 4.5 KPa Gs = 2.73 e = 0.67 Ø = 27° C =0 KPa %3D 4m Gs = 2.66 %3D e = 0.85 Ø = 34° C = 5 KPa 6marrow_forward
- 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)arrow_forwardA retaining wall supports a horizontal backfill that is composed of two types of soil. The first layer is 4.79 meters high. It has a unit weight of 16.61 kN/m3. The second layer is 6.58 meters and has a unit weight of 18.72 kN/m3. If the angle of friction for both layers is 34°, determine the total active force (kN) acting on the retaining wall per unit width. Final answer should be in two decimal places.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
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