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 14.18CTP
(a)
To determine
Find the magnitude, location and direction of the resultant active force
(b)
To determine
Find the magnitude, location and direction of the resultant active force
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7.17 A soil profile consists of a clay layer underlain by a sand
layer, as shown in Figure P7.17. If a tube is inserted into
the bottom sand layer and the water level rises to 1 m
above the ground surface, determine the vertical effec-
tive stresses and porewater pressures at A, B, and C. If
K, is 0.5, determine the lateral effective and lateral total
stresses at A, B, and C. What is the value of the pore-
water pressure at A to cause the vertical effective stress
there to be zero?
GWL
11 m Y=18.5 kN/m?
Clay
2 m Y= 19.0 kN/m³
2: 1,5m Y =17.0 kN/m
Sand
2 m
FIGURE P7.17
7.17 A soil profile consists of a clay layer underlain by a sand
layer, as shown in Figure P7.17 If a tube is inserted into
the bottom sand layer and the water level rises to 1 m
above the ground surface, determine the vertical effec-
tive stresses and porewater pressures at A, B, and C. If
K, is 0.5, determine the lateral effective and lateral total
stresses at A, B, and C. What is the value of the pore-
water pressure at A to cause the vertical effective stress
there to be zero?
GWL
|1 m Y- 18.5 kN/m
Clay
2m Yu- 19.0 kN/m
1.5 m Yur=17.0 kN/m
Sand
2m
E
A retaining wall of height 10 m with clay backfill
is shown in the figure (not to scale). Weight of the
retaining wall is 5000 kN per m acting at 3.3 m from
the toe of the retaining wall. The interface friction
ER
angle between base of the retaining wall and the
base soil is 20. The depth of clay in front of the
retaining wall is 2.0 m. The properties of the clay
backfill and the clay placed in front of the retaining
wall are the same. Assume that the tension crack
is filled with water. Use Rankine's earth pressure
theory. Take unit weight of water, Y = 9.81 kN/m³
Yw
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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Similar questions
- Refer to Figure P6.3. Determine the vertical stress increase Δσ at point A with the values q1 = 90 kN/m, q2 = 325 kN/m, x1 = 4 m, x2 = 2.5 m, and z = 3 m.arrow_forwardSituation 13. A river is 3 m deep with the riverbed consisting of a thick bed of sand having a saturated unit weight of 19.0 kN/m3³. Determine the resulting effective vertical stress at 4 m below the riverbed for the following conditions: 36. The water level stays the same. a. 36.80 kPa b. 47.20 kPa 37. The water level rises by 2 m. a. 51.1 kPa b. 36.80 kPa 38. The water level drops by 2 m. a. 26.30 kPa b. 36.80 kPa c. 26.30 kPa d. 51.10 kPa c. 47.20 kPa d. 26.30 kPa c. 47.20 kPa d. 51.10 kPa.arrow_forwardFor the frictionless wall retaining a stratified soil and shown in Fig. E3.2, determine: (a) The active lateral earth pressure distribution with depth. (b) The passive lateral earth pressure distribution with depth. (c) The magnitude and location of the active and passive forces. (d) The resultant force. (e) The ratio of passive moment to active moment. 4,- 20 kPa =250 %3D Ysen=20 kN/m =300 HAmarrow_forward
- Determine the active lateral earth pressure on the frictionless wall shown in the figure below. Sketch the lateral earth pressure distributions and calculate the resultant force and its location from the base of the wall. Also, determine the moments of passive and active forces. Neglect seepage effects. Use Rankine's earth pressure method. (w = 10 kN/m) 3.0m Ysat 20 kN/m³ y = 19 kN/m²³ ' = 30° Ysat = 20 kN/m³ y = 18 kN/m³ o = 28 6.0marrow_forwardThe retaining wall shown above is subjected to an active earth pressure distribution as illustrsted in the figure. What is the eccentricity of the resultant load acting on this wall (measured from the centre of the wall)? XX w=240 kN/m 5m length W 2m 35 kPa O 0.31 m O 0.61 m O 0.23 m O 0.41 marrow_forwardDetermine the magnitude and location of the resultant hydrostatic forceacting on the submerged rectangular plate AB shown.The plate has a width of 1.5 m; ρw = 1000 kg/m3.arrow_forward
- A 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_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_forwardin the figvax=4.903 m/s^2, ay =9.806m/s^2.find the pressure at A, B, Carrow_forward
- Plot the distribution of total stress, effective stress, and pore- water pressure with depth for the soil profile shown in Figure PZ12. Neglect capillary action and pore air pressure. 4.5 m le=0.7, S= 0.85 5 m w 28% FIGURE P7.12arrow_forwardINDUCED LOADS ARE APPLIED ON THE GROUND SURFACE AS SHOWN. POINT LOADS: PA= 250KN PB= 175KN PC= 300KN LINE LOAD: Q1= 150KN/M Q2= 225KN/M DETERMINE: a. THE TOTAL VERTICAL STRESS INCREASE AT POINT A AT A DEPTH OF 5M DIRECTLY UNDERNEATH LINE AB.b. THE TOTAL VERTICAL STRESS INCREASE AT POINT O, 8M FROM A TO THE POSITIVE Y AXIS, PERPENDICULAR TO LINE AB AT THE SAME DEPTH.c. THE TOTAL VERTICAL STRESS INCREASE DIRECTLY AT A POINT BELOW THE LINE LOAD 1, PERPENDICULAR TO POINT O AT THE SAME DEPTH.arrow_forwardAn electric power transmission pole is 12 m above ground level and embedded 2 m into the ground. The butt diameter is 450 mm and the tip diameter (the top of the pole) is 320 mm. The weight of the pole, cross arms, and wires is 33 kN. Assuming the pole transmits the load as a point load, find the change in vertical stress in kPa at 2 m depth. a. 17.8 b.393.9 c.63.0 d.3.9arrow_forward
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