Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Textbook Question
Chapter 15, Problem 15.19P
Refer to Figure 15.27a. For the braced cut, H = 6 m, Hs = 2 m, γs = 16.2 kN/m3, angle of friction of sand,
a. Estimate the average cohesion, cav, and the average unit weight, γav, for development of the earth pressure envelope.
b. Plot the earth pressure envelope.
FIG. 15.27 Layered soils in braced cuts
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Q.5 A retaining wall has a vertical back and is 7.32 m high. The soil is sandy loam of unit weight 17.3kN/m3. It has a cohesion of 12 kN/m2 and Ø = 20°. Neglecting wall friction, determine the active thrust on the wall. The upper surface of the fill is horizontal.
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
.
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
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- A 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_forwardThe elevation and plan of a bracing system for an open cut in sand are shown in Figure 14.21. Using Pecks empirical pressure diagrams, determine the design strut loads. Given: sand = 18 kN/m3, ' = 38, x = 3 m, z = 1.25 m, and s = 3 m.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
- 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_forwardSOLVE FOR THE LOCATION AND MAGNITUDE OF THE PASSIVE AND ACTIVE THRUST OF THE RETAINING WALL. Along the passive side, the soil has the following properties: unit weight: 16 kN/m3, cohesion = 30 KPa, angle of internal friction = 25 degrees. and along the active side: sand: unit weight = 15 KN/m3, angle of internal friction = 30 degrees, and for clay: dry unit weight = 16.5 KN/m3, saturated unit weight = 19 kn/m3 , unconfined compressive strength = 48 KPa, angle of inter friction is 25 degrees. The heightarrow_forwardA retaining wall 7 m high, with its back face smooth and vertical. It retains sand with its surface horizontal. Using Rankine’s theory, determine the active earth pressure at the base when the backfill is submerged with water table at the surface. Take γ=18 kN/m^3 ,ϕ=30°, γ_sat=21 kN/m^3.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_forwardDetermine the factor of safety against bottom heave for the braced cut described in Problem 15.18. Use Eqs. (15.66) and (15.70). For Eq. (15.70), assume the length of the cut, L = 18 m. 15.18 Refer to Figure 15.51 in which = 17.5 kN/m3, c = 60 kN/m2, and center-to-center spacing of struts is 5 m. Draw the earth pressure envelope and determine the strut loads at levels A, B, and C. FIG. 15.51arrow_forwardA retaining wall has a vertical back and is 10m high. The soil is sandyloam of unit weight 20 kN/m3. It shows a cohesion of 12 kN/m2 and φ = 20°. Neglecting wall friction, determine the thrust on the wall. Theupper surface of the fill is horizontalarrow_forward
- A retaining wall 7 m high, with its back face smooth and vertical. It retains sand with its surface horizontal. Using Rankine’s theory, determine the active earth pressure at the base when the backfill is saturated. Take γ=18 kN/m^3 ,ϕ=30°, γ_sat=21 kN/m^3.arrow_forwardA rigid retaining wall 5m high supports a backfill of cohesionless soil with angle of 40°. The water table is below the base of the wall. The backfill is dry and has a unit weight of 19kN/m³. Determine Rankine's passive earth pressure per meter length of the wall.arrow_forward
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