Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 15, Problem 15.10P
To determine
Find the factors of safety with respect to overturning and sliding.
Check whether the eccentricity is within the limit.
Find the soil pressures at the toe and the heel.
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It is required to design a cantilever retaining wall to retain a 5.0 m high sandy backfill. The dimensions of the cantilever wall are shown in Figure 15.52 along with the soil properties. Check the stability with respect to sliding and overturning, based on the active earth pressures determined, usinga. Coulomb's earth pressure theory (δ' = 24°), andb. Rankine's earth pressure theory.The unit weight of concrete is 24 .0 kN/m3
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°.
For the retaining wall shown in the figure, compute the factors of safety against overturning and sliding (analyze the latter both with and without passive earth pressure at the toe). Also determine the soil pressure at the base of the wall. Use the Rankine equation to compute passive earth pressure.
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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- Consider the smooth retaining wall shown in the figure below. Calculate the overturning moment at Point O in kN.m due to the surcharge only applied behind the wall. Assume that the surcharge is applied over a wide area. Consider a 1 m thickness in the out-of-plane directionarrow_forwardA vertical retaining wall 6 m high is supporting a horizontal backfill having a weight of 16.5 kN/m3 and a saturated unit weight of 19kN/m3. Angle of internal friction of backfill is 30°. Ground water table is located 3m below the ground surface. Determine the at rest lateral earth force per meter length.Determine the location of the resultant force.Determine the at rest lateral earth force per meter length if it carries a surcharge of 50 KPa. INCLUDE FBD.arrow_forwardA retaining wall 6 m high supports cohesionless soil having a dry density of 1600 kg/m³, angle of resistance 32 and void ratio of 0.68. The surface of the soil is horizontal and level with the top of the wall. Neglecting wall friction and using Rankine’s formula for active pressure of a cohesionless soil. 1. Determine the nearest value of the total earth thrust on the wall in KN per lineal meter if the soil is dry. a. 73.1 b. 86.7 c. 62.4 d. 98.1 2. Find the nearest value of the thrust on the wall in KN per lineal meter if owing to inadequate drainage, it is waterlogged to a level of 3.5 m below the surface. a. 112 b. 171 c. 147 d. 153 3. Find at what height above the base of the wall the thrust acts during the waterlogged condition. a. 2.21 m b. 2.00 m c. 1.74 m d. 1.42 marrow_forward
- The section of masonry dam is shown in Fig. U. If the uplift pressure variesuniformly from full hydrostatic at the heel to full hydrostatic at the toe, but acts only 2/3 of the area of the base, find: (a) the location of the resultant, (b) factor safety against overturning, (c) factor of safety against sliding if the coefficient of friction between base and foundation is 0.60.arrow_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_forwardQ9.1 - A 25-m high rock cut with a face angle of 60° has been excavated in a massive, very weak volcanic tuff. A tension crack has opened behind the crest and it is likely that the slope is on the point of failure, that is, the factor of safety is approx imately 1.0. The friction angle of the material is estimated to be 35°, its density is 25kN / (m ^ 3) and the position of the water table is shown on the sketch of the slope (Figure 4). The rock contains no continuous joints dipping out of the face, and the most likely type of failure mode is circular failure. Required- (a) Carry out a back analysis of the failure to determine the limiting value of the cohesion when the factor of safety is 1.0. (b) Using the strength parameters calculated in (a), determine the factor of safety for a completely drained slope. Would drainage of the slope be a feasible method of stabilization? (c) Using the ground water level shown in Figure 4 and the strength parameters calculated in (a), calculate the…arrow_forward
- Determine the total active thrust, in kN/m, for a retaining wall (height 4.77 m.) with horizontal backfill given the following properties: Unit weight = 17.49 kN/m3, Angle of internal friction = 32°, Cohesion = 11.32 kPa, and Surcharge = 8.6 kPa. Round off to two decimal places.arrow_forwardDetermine the active Rankine earth pressure (magnitude and location) against the 1-foot thick retaining wall in the figure at right.arrow_forwardA braced cut is carried out to 10 m depth at a site where the soil consists of 4 m of sand ( = 17.0 kN/m3, = 33) at the top underlain by 6 m of clay ( = 18.5 kN/m3, c = 35 kN/m2). a. What would be the average value of cohesion and the unit weight for the equivalent homogeneous soil profile? b. Show the lateral earth pressure envelope you would use in determining the strut loads.arrow_forward
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