Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305446298
Author: Braja M. Das
Publisher: Cengage Learning US
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Chapter 13, Problem 13.8P
a.
To determine
Find the factor of safety against overturning.
b.
To determine
Find the factor of safety against sliding.
c.
To determine
Find the factor of safety against bearing capacity failure.
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Chapter 13 Solutions
Principles of Foundation Engineering, SI Edition
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- A cantilever retaining wall is shown below. Calculate the factors of safety with respect to overturning, sliding, and bearing capacity by using Rankine theory. The friction angle between the soil and the base slab is 18°.arrow_forwardAnalyze 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.amarrow_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_forward
- Determine the analytical embedment depth and the total wall depth for this conditions. Give the effect of sand friction angle on the analytical embedment depth and the maximum bending moment Surcharge Load = 10 kN/m2 0 1 2 3 4 5 6 LD 7 16 kN/m² (= 0 phi= 30 °arrow_forwardevaluatearrow_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
- Soil with an internal angle of friction of 40° and a cohesion of 10 kPa is excavated to a depth of 6 m prior to the placement of a retaining wall. The stability of a trial wedge with a horizontal angle of 25° is being investigated. The soil above the wedge weighs 12 kN/m of wall. 12 kN/m 6 m as=25° What is most nearly the available shearing resistance along the indicated slip plane? O A. 70 kN/m B. 140 kN/m O C. 150 kN/m OD. 180 kN/marrow_forwardSubject : Geotechnical Engineering Note: Read the question carefully and give right solutions according to three conditions. End of the question 10% is water content not the grade.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
- 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_forwardPlease answer 8.3arrow_forwardFigure 5 shows a gravity retaining wall retaining a granular (c'=0) backfill. The same soil is present at the bottom of the wall and on the left. The unit weight and the effective friction angle of the backfill are 18.5 kN/m2 and 35°, respectively. Unit weight of concrete is 24.0 kN/m³ and 8' = 2/36'. Determine the factors of safety with respect to sliding, overturning, and bearing capacity failures. The ultimate bearing capacity has been determined to be 476 kN/m². Use Rankine's theory to compute active and passive earth pressures. 1.2 m 0.5 m 1.0 m 1.0 m 2.0 m 5.4 m 0.6 marrow_forward
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