Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 16, Problem 16.20P
To determine
Check passive earth pressure coefficient using Equation 16.70 and 16.72 or Table 16.9 and 16.10.
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(a) Calculate and draw the active earth pressure distribution acting on the smooth wall shown in Figure 4. The water
table is at the interface of the soil layers;
2 m
4 m
Sand 1: c= 0, += 30°
7 = 16 kN/m³
Sand 2: c= 0, += 38°
Figure 4
sat = 21 kN/mm³
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
For a smooth vertical wall supporting a granular backfill with ϕ' = 34°, determine Ka using Eq. (16.22) for α = 0, 5, 10, 15, and 20 degrees
Chapter 16 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- Determine the active Rankine earth pressure (magnitude and location) against the 1-foot thick retaining wall in the figure at right. 15 ft 1.5 ft 2 ft 4 ft Sand c=0 1 = 28° Y = 127 lb/ft³arrow_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_forward13.2 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_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_forwardPlot 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_forward3. The following convergence measurements (U) have been made in a 4.6-m-diameter circular vertical shaft in good quality granitic rock mass (Em = 40 GPa, ν = 0.2): θ (deg) U (mm) 0 2.25 45 2.39 90 1.50 135 1.00 a) Derive the equations that relate convergence to in situ stress. b) The angle θ is measured (clockwise) with respect to the x-axis, which is oriented 30 degrees clockwise from True North. What is the orientation of the maximum principal stress with respect to True North?arrow_forward
- Situation 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_forwardA smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine's earth pressure theory, the lateral active earth pressure acting at the base of the wall is _kPa (round off to one decimal place). Surcharge load, q = 20 kPa Smooth vertical retaining wall 3m 4m Layer 1: Bulk unit weight = 18 kN/m³ Angle of internal friction = 32° Cohesion = 0 kPa Layer 2: Bulk unit weight = 19 kN/m³ Angle of internal friction = 25° Cohesion = 20 kPa Base of the wallarrow_forwardConsider a retaining wall supporting a fill-soil as shown in the figure. The wall is moving from right to left. q=15kN.m2 0.5m Yconcrete=24kN.m Y1=16KN.m 01=32° Cz=0 3.5m P1 n=16KN.m P2 01=32° 0.5m C==0 [0.5m. 1m 1m 1m (a) Compute the active force P, and on the wall and its location. (b) Compute the passive force P2 on the wall. (c) Analyze the factor of safety against sliding.arrow_forward
- Question 2 For the gravity retaining wall (concrete) shown in figure below; if the angle B has changed to be 80°, Ø1= 29°; and a = 5° use Coulomb's theory to calculate the horizontal and vertical components of the active earth pressure. %! Y-18.5 kN/m :-32 5.7 m 5m 283 m P. 75 2.167 m 1.5 m 1.53 m 0.8 m 0.22 m - 18 KN/m 0.3 m 0,8 m :-24 3.5 m 30 KN/m?arrow_forwardQuestion 1: You are designing a retaining wall at the construction site. The friction angle of sand backfill is 28". Define the active lateral earth pressure coefficient based on Rankine's theory. Show your work and select the closest value: a) 0.30 b) 0.35 c) 0.40 d) 0.50arrow_forwardA cantilever retaining wall of 8 meter height retains sand. The properties of sand are; e= 0.4, phi = 30 degree, G = 2.65, gamma_{w} = 9.8kN / (m^3) Using Rankine's theory, the active earth pressure at the base when the back fill is dry is?arrow_forward
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