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 15.9P
To determine
Find the factors of safety with respect to overturning and sliding.
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6. Details of a retaining wall are shown in the figure below. The unit weight of the wall
material is 23 kN/m³. Assume a reduction factor K = 2/3 to consider the cohesion and
friction angle at the base slab. Check the stability of the wall in terms of overturning and
sliding failure. Use Rankine's theory to compute the active earth pressure.
Soil 2
Y2 = 17 kN/m³
6.5 m
Im
2 m
<-1.5m -
Yc = 23 kN/m³
c₂ = 10 kN/m² 92 = 25°
a = 15⁰
Soil 1
Y₁ = 16 kN/m³
c₁ = 0 kN/m²
P₁ = 30°
6. Details of a retaining wall are shown in the figure below. The unit weight of the wall
material is 23 kN/m³. Assume a reduction factor K = 2/3 to consider the cohesion and
friction angle at the base slab. Check the stability of the wall in terms of overturning and
sliding failure. Use Rankine's theory to compute the active earth pressure.
6.5 m
tu 1
2 m
Yc = 23 kN/m³
4 m
-1.5m -
Soil 2
Y2 = 17 kN/m³ ₂ = 10 kN/m²
P2 = 25°
a = 15⁰
Soil 1
Y₁ = 16 kN/m³
c₁ = 0 kN/m²
4₁ = 30°
6. Details of a retaining wall are shown in the figure below. The unit weight of the wall
2/3 to consider the cohesion and
material is 23 kN/m³. Assume a reduction factor K
friction angle at the base slab. Check the stability of the wall in terms of overturning and
sliding failure. Use Rankine's theory to compute the active earth pressure.
6.5 m
m
Ye= 23 kN/m³3
4 m
-1.5m
Soil 2
Y2 = 17 kN/m³ c₂ = 10 kN/m²
42 = 25°
a = 15°
Soil 1
Y₁ = 16 kN/m³
c₁ = 0 kN/m²
4₁ = 30°
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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- 1- Figure below shows a retaining wall. Determine the magnitude of the lateral earth force per unit length for the following conditions: 1) At-rest force 2) Active force Also, find the location of the resultant, 7, measured from the bottom of the wall. H (ft) y (lb/ft') 15 19 120 Sand Unit weight = y (or density = p) %3D H c' = 0 8' (angle of wall friction) = 0arrow_forwardProblem Solving A gravity retaining wall is shown, solve the following using Rankine Active Pressure: a. Factor of safety against overturning. b. Factor of safety against sliding. c. Pressure on soil at toe and heel. Y = 18.5 kN/m $i = 32° e = 0 16.7 m 6 m Pa 75 2.167 m 1.5 m 0.27 m 0.6 m 1.53 m 0.8 m Y2= 18 kN/m 4 = 24° e = 30 kN/m? 0.8 m 0.3 m 3.5 marrow_forwardQuestion 1: The cross-section of a cantilever retaining wall is shown below. Calculate the factor of safety with regards to overturning, sliding and bearing capacity (Use Rankine). Use Yeonerete = 23.58 kN/m³ and k, =k, = 2/3 F10 0.5 m H =0.458 m Yi = 18 kN/m³ di=30° cj=0 H2=6 m 10 1.5 m = D 0.7 m H3=0.7 m C + 0.7 m + 0.7 m →l+- 2.6 m 9 kN/m³ d'½=20° cz=40 kN/m²arrow_forward
- A frictionless retaining wall is shown ih the figure below. q= 10 kN/m 1= 15 kN/m o = 26° d'=8 kN/m 4 marrow_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_forward15.4 Repeat Problem 15.3, using Coulomb's active earth pressure in your calculation and letting 8' = 2/36. A gravity retaining wall is shown in Figure P15.3. Calculate the factor of safety with respect to overturning and sliding, given the following data: Wall dimensions: H=6m, x₁ = 0.6 m, x₂ = 2 m, x3 = 2 m, x4 = 0.5 m, xs = 0.75 m, x6 =0.8 m, D= 1.5 m Soil properties: Y2 = 16.5 kN/m², = 32°, = 18 kN/m², = 40 kN/m² = 22°, Use the Rankine active earth pressure in your calculation. X4 x2 72 Φ 333 X3 S H 71 Φί x6arrow_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_forwardQ1: C- The cross section of a gravity retaining wall is shown in figure (2). Calculate the factor of safety with respect to overturning, use Y.-24.0 kN/m³ 8 m 3 m, 5 m Fig (2) 15° Y=18.0 kN/m³ = 20° Cu =13.5 kPa Ka=0.6arrow_forwardA 6m retaining wall is supporting a soil with the following properties:Unit weight = 16 KN/cu.mAngle of internal friction = 25ºCohesion = 14 Kpaa. Assuming no tensile cracks occurs in the soil; determine its normal pressure acting at the back of the wall.b. If tensile crack occurs in the soil, calculate its active pressure acting on the wall.c. Find the location of tensile crack measured from the surface of horizontal backfill.arrow_forward
- Figure 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_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_forwardA concrete retaining wall (y-=150 lb/ft) supporting a cohesionless backfill and surcharge pressure 2. q=250 lb/ft? is shown in the figure: a. Calculate the factor of safety against sliding b. Calculate the factor of safety against overturning 1ft C=0. 0 =32° T= 120 lb/t 14 ft 4ft 2ft 2 ft O = 30° C=0 4 ft 6 ftarrow_forward
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