Principles of Foundation Engineering
9th Edition
ISBN: 9780357684832
Author: Das
Publisher: Cengage Learning US
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Chapter 16, Problem 16.13P
To determine
Find the active thrust.
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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
6.0m
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
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
Chapter 16 Solutions
Principles of Foundation Engineering
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Similar questions
- Determine 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_forwardA 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 Ywarrow_forwardThe figure consists of four forces, F1 = 85 kN, F2 = 55 kN, F4 =40 KN, a=55° and B=40° if the resultant is 60 kN directed downward to right at an angle of 55° from the harizontal, determine the magnitude and direction of F3arrow_forward
- A 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_forwardFigure Q3 shows a section through a long concrete dam and the associated flow net. The dam is founded in isotropic sand with k=2.5 x 105 m/s and Ysat =20 kN/m³. a) What is the role of the sheet pile cutoff wall at the heel of the dam? b) Calculate the steady state seepage loss beneath the dam. c) Calculate the uplift thrust on the base of the dam. 6.34mm S 14 X 3 i < lor stable ision im 1000mm d) Determine the exit hydraulic gradient. 1.00 m 0,80 m quick sand T 1/2 Datum 13 4 10 Fig. Q3 7 i= Ah 1.40 m 15 5.00 m 1 20 m h₂-hiarrow_forward5. Determine the magnitude and the location of the active thrust on the smooth vertical wall shown in Figure 2 below, assuming that the entire backfill is in the active state. 4.0 m Sand y= 16.5 kN/m; d' = 34° Silty sand y- 165 kN/m": d' = 36° 3.0 m Figure 2arrow_forward
- Figure P.2.2 P.2.3. A truncated conical bar was subjected to an axial load P as in Figure P.2.3. Compute the total elongation 8 of the bar if P = 200 kN, rị = 10 mm, r2 = 30 mm, l = 1 m and E = 2.0 × 10' MPa. Ans. 8 = 1.06 mm. P= 200 kN P Figure P.2.3arrow_forward16.7 Determine the magnitude and the location of the active thrust on the smooth vertical wall shown in Figure P16.7, assuming that the entire backfill is in the active state. FIGURE P16.7 4.0 m 3.0 m Sand y = 16.5 kN/m³; ¢' = 34° Silty sand y = 16.5 kN/m³; ¢' = 36°arrow_forwardThe dam shown has a base of which 2 m. below the ground surface. The pressure distribution diagram at the base of the dam can be obtained from the equipotential lines as follows: P! +15 mt K = 4.5 m/day. If H = 8 m, Compute the uplift force per unit length. Select the correct response: 809.3 kN/m 882.9 kN/m 829.7 kN/m 735.8 kN/marrow_forward
- 3. From the figure shown below, the hydrostatic uplift varies linearly from one-half the hydrostatic head at the upstream edge of the dam to zero at the downstream edge. Determine the following: a. Vertical reaction of the dam b. Is the dam safe against overturning c. Is the dam safe against sliding. Use coefficient of friction=0.57 d. Maximum and minimum soil pressure 3 m 4.50m 30m 27 m F 18 marrow_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_forwardShow shear and moment diagram using these reactions M a=-75.266 kN-m, b=-31.7110 kN-m, c=-106.288 kN-m, d=-87.380 kN-m,Ra=86.817 kN, Rb=116.045 kN, Rc=189.905 kN, Rd=72.083 kNarrow_forward
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