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 15.13P
(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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Calculate the factor of safety with respect to overturning and sliding of the gravity retaining wall. Use the Rankine active earth pressure in your calculation.
check image for accurate data and for figure
Q.1. Refer to the infinite slope shown in Figure 1. Given: β = 19 ͦ, ɣ = 20 kN/m3
, Ø = 33 ͦ,
and c’ = 47 kN/m2
. Find the height, H, such that a factor of safety, Fs = 3.1 is maintained
against sliding along the soil-rock interface.
Also Determine the thrust on the wall if the water table rises to a level 2 m below the surface
of the sand. The saturated unit weight of the sand is 20 kN/m3
.
Determine the total active thrust, in kN/m, for a retaining wall (height 5.60 m) with horizontal backfill given the following properties: Unit weight = 17.42 kN/m3, angle of internal friction = 32 degrees, Cohesion = 11.76 kPa, Surcharge = 9.32 kPa.
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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Similar questions
- Determine the total active thrust, in kN/m, for a retaining wall (height 5.12 m.) with horizontal backfill given the following properties: Unit weight = 17.79 kN/m3, Angle of internal friction = 30°, Cohesion = 11.71 kPa, and Surcharge = 9.33 kPa.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_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_forward
- A 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_forwardDetermine 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_forwardPLEASE ANSWER ASAP A 6-m vertical unyielding retaining wall is supporting a cohesionless loose coarse-grained backfill having a unit weight of 16 kN/m3 and an angle of friction of 250. It carries a uniform surcharge of 15 kN/m3. Determine the total lateral force (in kN) per unit length of the wall.arrow_forward
- A 6-m-high retaining wall is to support a soil with unit weight g=17 kN/m3, soil friction angle f’=24o, and cohesion c’=12 kN/m2. Determine 1) the depth of tensile crack behind the wall, and 2) the depth of excavation behind the wall that requires no support (zero total lateral tress).arrow_forwardA 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_forwardDetermine the active Rankine earth pressure (magnitude and location) against the 1-foot thick retaining wall in the figure at right.arrow_forward
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