Bundle: Principles Of Foundation Engineering, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
9th Edition
ISBN: 9781337947060
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 17, Problem 17.6P
(a)
To determine
Find the factor of safety with respect to sliding and overturning of the gravity retaining wall.
(b)
To determine
Find the factor of safety with respect to sliding and overturning of the gravity retaining wall.
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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.
Question 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) 0.50
Problem 10
The backfill and foundation sand have unit weight of
y = 135 pcf and Ø = 38. The backfill has a slope of
17 degrees and resultant force Ra acts parallel to the
backfill slope as shown below. The friction angle
between the base of the wall and the foundation sand
is 8-2/30. The factor of safety against sliding and
overturning, respectively, are most nearly (neglect
passive pressure):
W=5,531 lb/ft
17°
Ra=2576 lb/ft
9.0
12.0'
17
5.54
2.5 1.5
A. 1.1 and 2.8
B. 1.3 and 3.8
C.
1.3 and 2.8
1.1 and 3.8
ABCD
5.0
1.5
4.0
Chapter 17 Solutions
Bundle: Principles Of Foundation Engineering, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
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- 17.6 It is required to design a cantilever retaining wall to retain a 5.0 m high sandy backfill. The consultant suggests the dimensions and soil properties shown in Figure P17.6 and requires that the wall be checked for stability with respect to sliding and overturning based on the active earth pressures determined using 5.0 m 1.0 m FIGURE P17.6 1.5 m 0.5 m 1.0 m 1.0 m * 10° Sand y = 18.5 kN/m³ $' = 36° 10.5 marrow_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_forwardU The soil conditions adjacent to a rigid frictionless retaining wall are shown in the figure below. A surcharge pressure of 50 kN/m² is applied on the surface of the backfill. For Soil A above the water table, c' = 20 kN/m², '= 28°, y = 18 kN/m³ For Soil B below the water table, c' = 0, ' = 38°, y = 20 kN/m³ Calculate the maximum Rankine active earth pressure behind the wall and the resultant active force per unit length of the wall. Also determine the location of the resultant force. q = 50 kN/m² ↓↓↓↓ 后 Soil A Soil B 4 6 m 3 m GWT 12:04 PMarrow_forward
- A 6m high vertical retaining wall is used to retain a soil of unit weight 18 kN/m3 and slope 20°. The soil is a cohesionless soil with internal friction angle of 40°. Compute the coefficient of active earth pressure from the given data.arrow_forwardDetermine the stability of the cantilever gravity retaining wall shown in figure below. The existing soil is a clay and the backfill is a coarse-grained soil. The base of the wall will rest on a 50-mm-thick, compacted layer of the backfill. The interface friction between the base and the compacted layer of backfill is 25.0°. Groundwater level is 8 m below the base. 1.0 m Batter 1:20 0.4 m 1.8 m 9, = 20 kPa 8⁰ Ysat = 18 kN/m³ cs = 25° 8 = 15⁰ Backfill Drainage blanket Y = 23.5 kN/m³ 3 m Existing soil 6.1 m 0.9 mi Ysat = 19 kN/m³ = 35° % = 25°arrow_forwardA cantilever retaining wall of 7 meter height (Fig. Ex. 11.2) retains sand. The properties of the sand are: e=0.5, 0= 30 and G, = 2.7. Using Rankine's theory determine the active earth pressure at the base when the backfill is (i) dry, (i) saturated and (i) submerged, and also the resultant active force in each case. In addition determine the total water pressure under the submerged condition. - Backfill submerged e0.5 G, 2.7 30 Dry backfill 7 m Sand Backfill saturated Water pressure P-25.9 KN/m P41.2 kN/m AB is the wall considered P.48.81 KN/m yH= 68.67 kN/m? - p. Figure Ex. 11.2arrow_forward
- Soil with an internal angle of friction of 40° and a cohesion of 10 kPa is excavated to a depth of 6 m prior to the placement of a retaining wall. The stability of a trial wedge with a horizontal angle of 25° is being investigated. The soil above the wedge weighs 12 kN/m of wall. 12 kN/m 6 m as=25° What is most nearly the available shearing resistance along the indicated slip plane? O A. 70 kN/m B. 140 kN/m O C. 150 kN/m OD. 180 kN/marrow_forward3. A cantilever retaining wall is installed in soil having a cohesion of 36 kPa. The slip surface of a trail soil wedge is 29 m long, and the weight of the soil above the slip surface is 23 kN/m. The angle of failure plane is 17° from the horizontal, and the angle of internal friction is 31°. What is the available shear resistance per foot of soil? Answer in units of kN/m. 4. Limited laboratory studies indicate that for a certain silt soil, the effective pore size for height of capillary rise is 1/5 of D10 is the 10 percent particle size from the grain-size distribution curve. If the D10 size for such a soil is 0.02 mm, estimated the height of capillary rise. 5. The results of a constant-head permeability test for a fine sand sample having a diameter of 150 mm and a length of 300 mm are as follows:arrow_forwardA square footing 3 m x 3 m is supporting an axial load of 650 kN. The weight of the soil is aasumed to be 17.32 kN/m^3. Compute the total vertical stress increment due to the loads at a depth of 1.5 m below the center of the footing using the influence coefficients method for points under uniformly loaded rectangular areas. a.32.10 kPa b.51.46 kPa c.76.54 kPa d.50.56 kPa With FBDarrow_forward
- (i). Calculate lateral earth pressure for the basement structure. Use the following data, depth of wall 8m, cohesion = 0, angle of friction = 25°, soil type = clay, OCR=2.0, bulk unit weight = 19 kN/m3. (ii)What will change if we would have coarse sand behind the retaining wall instead of clay? Assume compacted coarse sand behind retaining wall and get the recommended values of Cohesion and friction for sand from literature and calculate lateral earth pressure for wall with dimensions given in section (i) and compare both results.arrow_forwardQ3. For the retaining wall shown below, the foundation and the backfill soils have the same properties. Use Rankine analysis to calculate the following: (a) Calculate the active lateral earth pressures distribution. (b) Determine the FS against sliding. 100 kN/m² NOT TO SCALE (c) Determine the FS against overturning SAND: y=18 kN/m² 8=27, concrete 2m 4marrow_forwardQuestion 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_forward
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