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 15, Problem 15.5P
To determine
Find the factors of safety with respect to overturning, sliding, and bearing capacity failure.
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For the cantilever retaining wall shown in Figure P13.1, let the following data be given:
Wall dimensions:
H = 8m
x₁ = 0.40m
x₂ = 0.60m
Soil properties:
Y₁ = 16.80kN/m³
Y2 = 17.60kN/m³
c=0
x3 = 1.50m
x₁ = 3.50m
x = 0.96m
$₁ = 32°
$½ = = 28°
Figure P13.1
a. Calculate the factor of safety with respect to overturning.
b. Calculate the factor of safety with respect to sliding.
c. The magnitude of the pressure on the base at the toe.
d. The magnitude of the pressure on the base at the heel.
D = 1.75m
a = 10°
C₂' = 30kN/m²
Use the Yconcrete = 23.58kN/m³. Also, use k₁=k₂ = 2/3 which are the factor to calculate for p' and
Ca-
A retaining wall is shown below to support two layers of soil. fc' = 23 MPa and fy = 420 MPa. Use 28mm diameter bars for the transverse reinforcement and 12mm for the longitudinal reinforcement.
The parameters per layer are given below:
Surcharge = qs = 8.04 kPa.
Layer 1: H1 = 1.96m. γ = 15.74 kN/m3. Φ = 21 degrees
Layer 2: H2 = 4.98m. Gs = 2.64. e = 0.44. S = 23.32%. Φ = 31 degrees.
What is the minimum wall thickness (mm)?
4. A retaining wall shown in the figure, determine the Rankine Active force, Pa, per unit length of
the wall and the location of the resultant.
H = 10 ft, H1 = 5 ft, Y1 = 105 Ib/ft? , Y2 = 122 Ib/ft? , 01 = 30° , $2 = 30°
Sand
H1
Y1
ci = 0
Groundwater table
Н
Sand
Y2 (saturated unit weight)
c2 = 0
Frictionless wall
Chapter 15 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Refer to the braced cut in Figure 15.50, for which...Ch. 15 - For the braced cut described in Problem 15.16,...Ch. 15 - Refer to Figure 15.51 in which = 17.5 kN/m3, c =...Ch. 15 - Refer to Figure 15.27a. For the braced cut, H = 6...Ch. 15 - Prob. 15.20PCh. 15 - Determine the factor of safety against bottom...Ch. 15 - Prob. 15.22PCh. 15 - The water table at a site is at 5 m below the...Ch. 15 - Prob. 15.24PCh. 15 - Prob. 15.25CTPCh. 15 - Figure 15.53 below shows a cantilever sheet pile...
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- Assume a smooth retaining wall as shown below. Calculate the hydrostatic force acting on the right side of the wall in kN per unit length (considering a 1 m length in the out-of-plane direction). The soil properties shown in the figure apply to either side of the wall g = 9.81m/s2arrow_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 retaining wall supports a horizontal backfill that is composed of two types of soil. First layer: 4.27 meters high, Unit weight of 17.25 kN/m3, coefficient of active pressure of 0.286 Second layer: 6.27 meters high, Unit weight of 18.27 kN/m3, coefficient of active pressure of 0.309 Determine the distance of the total active force measured from the bottom of the wall. Round off to three decimal places.arrow_forward
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