Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 11, Problem 11.10CTP
(a)
To determine
Find the time factor,
(b)
To determine
Plot the excess pore water pressure
(c)
To determine
Find the average value of
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A long embankment 30 m wide is to be built on ground. The net vertical pressure applied by the embankment (assumed to be uniformly distributed) is 90kpa. The soil profile and stress distribution beneath the center of the embankment is also shown. The value of mv for the upper clay is 0.35m2/MN, and for the lower clay mv=0.13m2/MN. Tthe permeabilities of the cllays are 10-10m/s and 10-11m/s for the upper and lower soil respectively. Determine the final settlement under the center of the embankment due to consolidation
Problem # 4.
A 2m. clay layer has values of e = 0.92, Gs = 2.72 and liquid limit of 40%. Above the clay is a 3m thick layer of sand with e =0.50 and Gs = 2.62. The water table is located 1.6 m below the ground. If a 3m thick backfill is placed on the ground surface having a unit weight of 17.3 kN/m^3, determine the following:
a. Compression index of clay.b. Effective pressure at the midpoint of clay.c. Primary settlement for normally consolidated clay.
An embankment consists of clay fill for which c′ = 25 kN/m2 and φ = 27° (from consolidated undrained tests with pore-pressure measurement). The average bulk unit-weight of the fill is 2 Mg/m3. Estimate the shear-strength in kPa of the material on a horizontal plane at a point 20 m below the surface of the embankment, if the pore pressure at this point is 180 kN/m2 as shown by a piezometer.
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A river bed consists of a layer of sand 8.25 m thick overlying impermeable rock; the depth of water is 2.50 m. A long cofferdam 5.50 m wide is formed by driving two lines of sheet piling to a depth of 6.00 m below the level of the river bed and excavation to a depth of 2.00 m below bed level is carried out within the cofferdam The water level within the cofferdam is kept at excavation level by pumping. Determine the factor of safety against failure by heaving adjacent to the face of the piling.arrow_forwardA thin layer of silt exists at a depth of 18 m below the surface of the ground. The soil above this level has an average dry unit weight of 15.1 kN/m3 and an average water content of 36%. The water table is almost at the ground surface level. Tests on undisturbed samples of the silt indicate the following values: cu = 45 kN/m2, ϕu = 18°, c' = 36 kN/m2 and ϕ' = 27°. Estimate the shearing resistance of the silt on a horizontal plane when (a) the shear stress builds up rapidly, and (b) the shear stress builds up slowly.arrow_forwardA soil profile, under surcharge load of 25 kN/m2 at ground level, consists of 6m sand and 3m clay layer. Ground water table is 2m below sand layer. Dry unit weight and saturated unit weight of sand is 15.80kN/m3 and 16.90kN/m3 respectively. Clay layer, Gs=2.67 and saturated unit weight is 18.80 kN/m3. Determine a)Increase in stress at the mid layer of clay b) With dewatering 2m, what is the stress increase at the mid layer of clay c) How much must the water level be lowered to me more effective than the surcharged load?arrow_forward
- A 10-m-thick layer of stiff saturated clay is underlain by a layer of sand (Figure 9.28). The sand is under artesian pressure. A 5.75-m-deep cut is made in the clay. Determine the factor of safety against heaving at point A.arrow_forwardA retaining wall with vertical back is 8 m. high. The density of top 3 m. of fill is 1.75 Mg/m³ and the angle of internal friction is 30°. For the lower 5 m. the values are 1.85 Mg/m³ and 35° respectively. There is a surcharge load on the horizontal surface of the fill equivalent to 1.2 Mg/m² uniformly distributed. Solve for the following questions below: 1. Find the magnitude of the thrust on the wall per linear meter if the fill is well drained. 2. Find the magnitude of the thrust on the wall per linear meter if the fill is waterlogged after a storm (Assume the saturated quantities of the two strata are 1.9 and 2.0 Mg/m³ respectively.) 3. Find the point of application of 5 points the thrust on the wall if the fill is waterlogged after a storm.arrow_forwardAt what depth would total the vertical stress in a deep deposit of clay (e = 1.1, Gs = 2.74)be 100 kPa if the water table is 1 m below the ground surface and the above the watersurface a saturation degree of 90 % exists. What is the effective stress at the same depth?arrow_forward
- A saturated clay layer has a thickness of 10 meters with a water content of 51% and a specific gravity 2.72. Determine the following: 1. Saturated unit weight of the clay * a. 21.46 kN/m³ b. 18.12 kN/m³ c. 16.87 kN/m³ d. 14.95 kN/m³ 2. total stress at depth of 10 meters a. 122.1 kPa b. 151.3 kPa c. 168.7 kPa d. 142.5 kPa 3. Effective stress at depth of 10 meters a. 42.1 kPa b. 70.6 kPa c. 68.7 kPa d. 82.5 kPaarrow_forward20 A 4-meter clay layer (e = 0.92, Gs = 2.89, Cc = 0.315) is overlain with 4-meter-thick sand layer (e = 0.86, G = 2.63). The water table is at the interface of the sand and clay layer. If a 3-meter-thick land fill (γ = 17.21 kN/m3) is placed over the existing ground surface, compute the consolidation settlement (in mm.) of the clay layer. Hint: Use the land fill's resulting pressure on the ground surface as the stress increase. Round off to two decimal places.arrow_forwardFor a given consolidated clay: Gs= 2.71; LL= 45; In situ average effective overburden pressure = 120 kPa; In situ void ratio= 0.80 ; Thickness of clay layer = 4m ; average increase of effective stress on clay layer= 40 kPa; Effective pressure at the mid-height of clay layer= 60 kPa; Swell Index (Cs)= 1/5 Cc. Compute the pre-consolidation pressure in kPa. a. 92.9 b. 49 c. 87.64 d. 100.5arrow_forward
- A 3.75 m thick clay layer (drained on one side) is normally consolidated. When the pressure increase from 50 KN/m2 to 150 KN/m2 , the void ratio decreases from 0.9 to 0.75.For the clay Cv=0.24 cm2/sec.a. Interpret the time in days for the clay layer to reach 50% consolidation. b. Interpret the settlement at that time i.e, at 50% consolidation.arrow_forwardAn embankment consists of clay fill for which c=25 kPa and angle of internal friction is 260 9from consolidated undrained test with pore pressure measurement) The weight of fill per unit volume is 18.64 kN/m3. Compute the stress in kPa at depth of 20 m. a. 192.8 b. 62.5 c. 21.6 d. 372.8arrow_forwardEstimate the lateral earth pressure at a depth 20 ft (6.1 m) below the ground surface in a loose sand deposit. The wet unit weight of the sand is 115 pcf (19 kN/m3). What would the total lateral pressure be if the water table rose to the ground surface (in psf or kPa)?arrow_forward
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