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 14.19CTP
To determine
Find the resultant active thrust on the retaining wall.
Find the inclination of the resultant active force,
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1. Refer to Figure below For H = 6 m, y = 17.0 kN/m³,
o' = 36°, c' = 0, ß = 85°, a = 10°, and 8' = 24°, assume
that the backfill is in the active state and use Coulomb’s
equation to determine the magnitude, location, and direction
Pa
of the active thrust on the wall.
H
2. what would be the active thrust Pa
there is a surcharge of 25 kN/m² at the ground level?
when
Q.9 A smooth retaining wall is 4 m high and supports a cohesive backfill with a unit weight of 17 kN/m3. The shear strength parameters of the soil are cohesion =10 kPa and Ø = 10°. Calculate the total active thrust acting against the wall and the depth to the point of zero lateral pressure
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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- 13.2 Assume that the retaining wall shown in Figure 13.9 is frictionless. Determine the Rankine active force per unit length of the wall, the variation of active earth pressure with depth, and the location of the resultant. If H = 4m, Ø = 36° and y = 18 kN/m3 kN Ans. P, = 37.44", z = 1.33m m 13.3 Assume that the retaining wall shown in Figure 13.9 is frictionless. Determine the Rankine passive force per unit length of the wall, the variation of lateral earth pressure with depth, and the location of the resultant. If H = 5m, Ø = 35° and y = 14 kN/m? Ans. Pp 645.8 kN z = 1.67m m. Sand Unit weight = y (or density = p) %3D H c' = 0 8' (angle of wall friction) = 0 Figure 13.9arrow_forwardQ2. Which of the two retaining walls in Figure 2 produces a larger horizontal component of active thrust? y = 18 kN/m³ $'= 34° c' = 0 kPa 14 H=7m H = 7m Figure 2 115°arrow_forward16.5 The backfill retained by a gravity retaining wall shown in Figure P16.5 consists of two sand layers, compacted at dif- ferent densities. The properties of the sand are shown in the figure. Assuming that the gravity wall does not move later- ally (i.e., at-rest), determine the magnitude and location of the thrust on the wall. FIGURE P16.5 2 m 3 m Sand 1 y = 17.5 kN/m³; ' = 32° Sand 2 y = 17.5 kN/m³; ' = 36°arrow_forward
- 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_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_forwardThe backfill behind a retaining wall, located above the water table, consists of a sand of unit weight 19 kN/m³. The height of the wall is 8 m and the surface of the backfill is horizontal. Determine the total active thrust on the wall according to the Rankine theory if c'=0 and q'=38. If the wall is prevented from yielding, what is the approximate value of the thrust on the wall?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_forwardA retaining wall 8 m high supports a cohesionless soil having a dry density of 1600 kg/m^3, angle of shearing resistance is 33 degrees and void ratio of 0.68. The surface of the soil is horizontal and level with top of the wall. Neglect wall friction and use Rankine’s formula for active pressure of a cohesionless soil. Determine the value of earth thrust on the wall per meter length if the soil is dry. a. 121 kN b. 186 kN c. 148 kN d. 137 kN determine the value of earth thrust on the wall if water level is 3.5 m below the surface. a. 230 kN b. 250 kN c. 180 kN d. 210 kN find the height above the base of the wall where the thrust acts during the water logged condition. a. 3.50 m b. 2.67 m c. 1.75 m d. 2.25 marrow_forwardSITUATION 2: A retaining wall 6 m high supports cohesionless soil having a dry density of 1600 kg/m?,angle of resistance 32° and void ratio of 0.68. The surface of the soil is horizontal and level with the top of the wall. Neglecting wall friction and using Rankine's formula for active pressure of a cohesionless soil. 6. Determine the nearest value of the total earth thrust on the wall in KN per lineal meter if the soil is dry. а. 73.1 c. 62.4 b. 86.7 d. 98.1 7. Find the nearest value of the thrust on the wall in KN per lineal meter if owing to inadequate drainage, it is waterlogged to a level of 3.5 m below the surface. а. 112 c. 147 b. 171 d. 153 8. Find at what height above the base of the wall the thrust acts during the waterlogged condition. а. 2.21 m c. 1.74 m b. 2.00 m d. 1.42 marrow_forward
- Calculate the total active force acting on a vertical wall 5m high retaining a sand of unit weight 17 kN/m3 for which O'=35°. The surface of the sand is horizontal and the water table is 2 m 2m 5m below the sand surface, the saturated unit weight of the sand is 20 kN/m³. Also y = 17 kN/m³ determine the location of the resultant o' = 35° active force. Ysat = 20 kN/m³arrow_forwardCalculate the total active thrust on a smooth vertical wall 5 m high retaining a sand of unit weight 17 kN/m3 for which φ′ = 35° and c′ = 0; the surface of the sand is horizontal and the water table is below the bottom of the wall.arrow_forwardA retaining wall has a vertical back and is 7.32 m high. The soil is sandy loam of unit weight of 15 kN/m^3.it shows a cohesion of 12kPa and phi = 25 degrees, Neglecting wall friction, determine the thrust on the wall in kN/m. The upper surface of the fill is horizontal. a. 107.14b. 123.58c. 301.24d. 250.67arrow_forward
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