Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 15, Problem 15.15P
(a)
To determine
Find the factor of safety against overturning.
Find the factor of safety against sliding.
Find the factor of safety against bearing capacity failure.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A smooth rigid retaining wall of 6 m high carries a uniform surchargeload of 12 kN/m2. The backfill is clayey sand possessing the following properties. γ = 16.0 kN/m3 , φ = 25°, and c = 6.5 kN/m2 for a retaining wall system, the following data were available: (i) Height ofwall = 7 m. (ii) Properties of backfill: γd =16 kN/m3, φ = 35 ° (iii) Angleof wall friction, δ =20° (iv) Back of wall is inclined at 20° to the vertical(positive batter) (v) Backfill surface is sloping at 1:10. Find thefollowing(i) Active earth pressure(ii) Passive earth pressure
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°
Analyze the stability of the reinforced cantilever
retaining wall based on the three failure modes;
: Sliding
: Overturning
: Bearing Stress
1. Unit weight of soil Ys = 18.5 kN/m³
2. Unit weight of Conc Yc = 24 kN/m³
3. Internal friction angle = 30°
4. Coefficient of friction between soil and concrete
bass M = 0.35
%3D
5. Bearing capacity of soil = 150 kN/m2
o 45m
Soon
3.
0145m
2.am
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...
Knowledge Booster
Similar questions
- 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 4.0arrow_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_forward15. A backfill of a retaining wall consists of y=19 kN/m³ which is 6 m high. Find the lateral earth pressure per meter length. Given coefficient of earth pressure at rest is 0.5. a) 43 kN/m² b) 57 kN/m² c) 48 kN/m² d) 76 kN/m²arrow_forward
- 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°arrow_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_forwardA 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)?arrow_forward
- For the given retaining wall as shown, determine the following: Note: The water table for the given soil profile is located at an H1 depth below the top of the wall. 9. = 22.5 kPa 17 kN/m3 H, = 2.5 m Yvar = O = 25° H2 = 4.5 m Ysat = 18.5 kN/m3 O = 30° a) The total active force on the wall in kN. b) The total active moment at the bottom of the wall in kN-m. c) The required passive force to maintain equilibrium in kN. d) The theoretical passive force in kN. e) The total theoretical passive moment at the bottom of the wall in kN-m. WRITE YOUR ANSWER IN TWO DECIMAL PLACES. ROUND OFF ONLY AT THE END RESULT.arrow_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_forward4. A frictionless retaining wall is shown. Find the passive resistance (P) due to backfill and the location of the resultant passive force. q = 12 kN/m² Y = 15 kN/m³ o' = 26° c' = 10 kN/m² 4 marrow_forward
- 12.2 ), 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_forwardQ2 Rankine's lateral pressure distributions against the vertical wall are include the effect of a variety of water table elevations and multiple soil layers in the backfill. Figure Q2 shows a vertical retaining wall with a horizontal backfill, which may fail in active mode. The water table elevations in front of the wall and at the back of the wall are different. (a) (b) Calculate the lateral pressures act against the wall. Support the answer with relevant diagram. Determine the total thrust force or resultant force. Support the answer with relevant point of application.arrow_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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Geotechnical Engineering (MindTap C...Civil EngineeringISBN:9781305970939Author:Braja M. Das, Khaled SobhanPublisher:Cengage Learning
Fundamentals of Geotechnical Engineering (MindTap...Civil EngineeringISBN:9781305635180Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781305081550Author:Braja M. DasPublisher:Cengage Learning
Principles of Geotechnical Engineering (MindTap C...
Civil Engineering
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Cengage Learning
Fundamentals of Geotechnical Engineering (MindTap...
Civil Engineering
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781305081550
Author:Braja M. Das
Publisher:Cengage Learning