Principles of Foundation Engineering
9th Edition
ISBN: 9780357684832
Author: Das
Publisher: Cengage Learning US
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Chapter 16, Problem 16.17P
To determine
Calculate the magnitude and location of the active thrust on the wall.
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Question 3:
A 4.5 m high wall with groundwater 1.5 m below from
the top behind the wall has sandy backfill as shown.
The bridge structure in front of the wall (which is not
shown on the figure) prevents wall from movements.
Calculate:
a) the lateral force behind the wall exerted on the wall.
b) the distance from the base of the wall to the center
of this force.
Bridge.
4.5 m
1.5 m
y = 17 kN/m³
Ysat = 19 kN/m3
Sand
c'= 0
$' = 37°
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 13.9
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
Chapter 16 Solutions
Principles of Foundation Engineering
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- The 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_forwardCalculate the active and passive earth pressures AND. determine the distance at which the net active and passive force will acting on the retaining wall Ya=19 kN /m3 - 34 c=3kp 2m 6=34 %3D Vd = 17.54kN/m3 8=32"; ċ=o %3D 1.5m %3D = 21. BkN/m3 V sat 8= 31; c'= o %3D 1.5m %3D Ysat = 22.lkN/m3 5 m 8=30;cioarrow_forwardRefer to Figure 12.15. Here, H = 5 m, γ = 18.2 kN/m3, Φ' = 30º, ẟ' = 20º, c' = 0, α = 10º, and β = 85º. Determine the Coulomb’s active force for earthquake conditions (Pae) per meter length of the wall and the location and direction of the resultant. Given kh = 0.2 and kv = 0.arrow_forward
- (Solve the following exercise, showing and explaining step by step to its resolution). A retaining wall with vertical walls 8.00 m high supports the thrust of a sand with a volumetric weight in its natural stratum of 1800 kg/m3 and an angle of internal friction of 35°. The ground surface is horizontal. Determine the thrust on the wall per metre of depth and mark the forces acting on the wall; neglect the passive thrust.arrow_forwardUse Eq. (12.3), Figure P12.2, and the following values to determine the at-rest lateral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H1 = 2 m, H2 = 3 m, γ = 15.5 kN/m3, γsat = 18.5 kN/m3, Φ' = 34º, c' = 0, q = 20 kN/m2, and OCR = 1.arrow_forwardQuestion (2): If the wall is 3.5 m, determine an show the resultant force that water exert on the overhang sea wall along ABC, as shown in Figure (1). 1.5 m Figure (1) 2 m 2.5 marrow_forward
- It 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_forward| 166 kPa 54 kPa x 33 kPa Stresses on a x-y Cubic Element in the 0₁-03 plane. Questions 4-10 Draw Mohr's Circle for the stress condition shown above to answer the questions.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_forward
- 13.22 Consider the retaining wall shown in Figure 13.38. The height of the wall is 9.75 m, and the unit weight of the sand backfill is 18.7 kN/m². Using Coulomb's equation, calculate the active force, Pq. on the wall for the following values of the angle of wall friction. Also, comment on the direction and location of the resultant. a. 8' = 14° b. 8' = 21° + Sand y = 18.7 kN/m³ c' = 0 d' = 34° e = 12° 8' (wall friction) e = 10° H= 9.75 m Figure 13.38 © Cengage Learning 2014arrow_forward12.2 ), Figure P12.2, and the following values to determine the at-rest lat- eral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H1 = 2 m, H, = 3 m, y = 15.5 kN/m², yt = 18.5 kN/m², 4' = 34°, c' = 0, q = 20 kN/m², . Repeat problem when water level Groundwater at ground surface. Figure P12.2arrow_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
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