Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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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.
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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…
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
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- The 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_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 braced cut shown in Figure P19.3 is to be made to a depth of 9.0 m in a saturated clay deposit where the unit weight is 17.65 kN/m3 and the undrained shear strength is 30 kN/m2. The struts are spaced horizontally at 3.0 m center to center. Find the strut loads.arrow_forward
- Refer to Figure 15.27a. For the braced cut, H = 6 m, Hs = 2 m, s = 16.2 kN/m3, angle of friction of sand, s=34, Hc = 4 m, c = 17.5 kN/m3, and the unconfined compression strength of the clay layer, qu = 68 kN/m2. a. Estimate the average cohesion, cav, and the average unit weight, av, for development of the earth pressure envelope. b. Plot the earth pressure envelope. FIG. 15.27 Layered soils in braced cutsarrow_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_forwardQ.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 .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_forwardA vertical cut is to be made in a purely cohesive clay deposit (c'=30kPa, φ'=0deg, γ=16kN/m3). Find the maximum height of the cut which can be temporarily supported. From the stability chart, the stability number can be used as 0.261.arrow_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_forward
- The cross section of a braced cut supporting a sheet pile installation in a clay soil is shown in Figure 14.22. Given: H = 12 m, clay = 17.9 kN/m3, = 0, c = 75 kN/m2, and the center-to-center spacing of struts in plan view, s = 3 m. a. Using Pecks empirical pressure diagrams, draw the earth-pressure envelope. b. Determine the strut loads at levels A, B, and C.arrow_forwardA retaining wall 9 m high supports a cohesionless sandy soil with its face vertical as shown in figure below. Find active earth pressure on the wall , Take Yw = 9.81kN / (m ^ 3)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
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How to build angle braces; Author: Country Living With The Harnish's;https://www.youtube.com/watch?v=3cKselS6rxY;License: Standard Youtube License