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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Please answer 8.3
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°
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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- 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°arrow_forwardsolve the given image belowarrow_forwardSOLVE USING RANKINES THEORYarrow_forward
- 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_forwardSomeone can help me with this one pleasearrow_forward
- 15.4 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_forwardA 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_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 = 4 B = 0 C = 3 D = 7arrow_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_forwardIn Figure 12.24, which shows a vertical retaining wall with a granular backfill, let H = 4 m, α = 17.5º, γ = 16.5 kN/m3, Φ' = 35º, and ẟ' = 10º. Based on Caquot and Kerisel’s solution, what would be the passive force per meter length of the wall?arrow_forward
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