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 15.8P
To determine
Find the factors of safety with respect to overturning and sliding.
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3) A gravity retaining wall is shown in Figure 1. Check if the factor of safety with respect to
overturning and sliding meet the minimum requires for design, given the following data:
Wall dimensions:
2.5 ft, D = 4 ft, a = 12°
H = 26 ft, x, = 1.5 ft, X2 6 ft, X3 = 6 ft, X4 = 1.5 ft, Xs = 2 ft, X6 =
Soil properties:
YI- 150 pcf, = 31°, y2 = 122 pef, 42 = 29°, c2 = 600 psf,
%3D
yc = 155 pef, kl = k2 = 1/3
Use the Rankine active earth pressure in your calculation.
YI
C = 0
X5
X6
4
Y2
Figure 1: Gravity Retaining Wall- Inclined Backfill.
The cross section of a cantilever retaining wall is given below. Based on the given soil properties and
wall geometry: (x = 23.5 kN/m³).
Wall dimensions: H = 5 m, X₁ = 0.3 m, X₂=0.80 m, X3 = 1.25 m, X4 = 2 m, X5 = 0.55 m, D = 1 m
Soil properties: y = 17 kN/m³, Ø₁ = 29°, 72= 18 kN/m³, 0₂ = 22°, c₂ = 30 kN/m²
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Xs
|—×3 →|·
1. Calculate the factor of safety with respect to:
A. Overturning about the toe? Use a table to calculate the materials and moments.
B. Sliding about the base of the footing? Use kl=k2=
H
FUS
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-
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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- A reinforced concrete retaining wall is proportioned as shown below. There is a water table located H1m beneath the ground surface. Use ultimate bearing capacity of 450 kPa. Based on the figure, the dimensions are given below. Use γc = 23.48 kN/m3 wall thickness = 0.47m footing thickness = 0.53m toe slab length = 2.33m heel slab length = 4.38m ground water table depth = 2.99 H2 = 3.84 The following values were calculated for this particular retaining wall: Righting moment: 3,868 kN-m/m Overturning moment: 908 kN-m/m Total vertical load: 999 kN/m What is the factor of safety for bearing pressure? Please answer this asap for upvote. Thanks in advancearrow_forwardDesign a cantilever retaining wall shown in let the following data be given: Wall dimensions : H= 8 m, x1=0.4 m, x2=0.6 m, x3=1.5 m, x=3.5 m, X5=0.96 m, D = 1.75 m, a = 10° Soil properties : Y1 = 16.5 kN/m³, Q'r= 32°, y2 = 17.6 kN/m³, $'2= 28°, c'2=30 kN/m² Wall properties : Yconcrete = 23.58 kN/m³. Others : ki=k2= 2/3, Pp = 0 a) Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. b) Is the design of the wall satisfactory with respect to the overturning, sliding, and bearing capacity limit states? Analyze your results referred to the Factor of Safety against overturning, FOSO > 2.5 and Factor of Safety against sliding, FOSS > 1.5. でarrow_forwardThe cross section of a cantilever retaining wall is given below. Based on the given soil properties and wall geometry: ( Knowing that y, = 23.5 kN/m³ ) Wall dimensions: H = 7 m, X, = 0.55 m, X, = 0.75 m, X, = 1.2 m, X, = 2.1 m, X, = 0.7 m, D = 1 m Soil properties: Y, = 17 kN/m², , y,= 18 kN/m², , kN/m² ーュート 1. Calculate the factor of safety with respect to: A. Overturning about the toe? B. Sliding about the base of the footing? Use kl=k2= マ でarrow_forward
- The cross section of a cantilever retaining wall is shown in Figure 1. Calculate the factors of safety with respect to overturning. Consider concrete unit weight 24KN/m³. 0.25 m Sand c = 0, Ø' = 30° Ysat= 18 kN/m³ 3 m 0.60 m. 0.40m 0.3 m -2 m Figure 1arrow_forwardA reinforced concrete retaining wall is proportioned as shown below. There is a water table located H1m beneath the ground surface. Use ultimate bearing capacity of 450 kPa. Based on the figure, the dimensions are given below. Use γc = 24.67 kN/m3 wall thickness = 0.65m footing thickness = 0.55m toe slab length = 2.47m heel slab length = 3.78m ground water table depth = 3.25 H2 = 3.92 The soil parameters are also given below. Take note that there is just one type of soil present here. Bulk unit weight = 16.93 Submerged unit weight = 9.67 Angle of internal friction = 21 If you add the factors of safety for sliding and overturning, what is the sum? Consider friction coefficient μ = 0.77 Please answer this asap. For upvote. Thank you very mucharrow_forwardFigure Question 2 depicts the design of a gravity retaining wall for carthquake condition given: Kv-0 and Kh-0.37 What should be the weight of the wall for a zero-displacement condition? Use a factor of safety of 2.4. What should be the weight of the wall for an allowable displacement of 50.95 mm? Sand $:= 35° %3D Sand $=37 3. Figure Question 2 B Give a comprehensive detail on how to analyze a retaining wallarrow_forward
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