Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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For 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 compression index.
a.0.534
b.0.513
c.0.315
d.0.145
With Free Body Diagram
For 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. 100.5
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
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- 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.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_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. Show free body diagram a.92.9 b.100.5 c.49 d.87.64arrow_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_forwardEstimate the lateral earth pressure developed at a depth 5 m below the soil surface of a loose sand deposit (wet unit weight of soil is 17.5 kN/m3). Also estimate the lateral pressure for the same depth if the sand is in a dense condition (unit weight is 20.5 kN/m3). What would be the total lateral pressure for the loose sand condition described if the water table were at the ground surface?arrow_forwardQuestion-3: A soil profile is shown in Figure 3.1. If a uniformly distributed load, ∆σ, is applied at the ground surface, calculate the settlement of the clay layer caused by primary consolidation, if Cc = 0.27 and Cr = 0.045 and a. The clay is normally consolidated b. The preconsolidation pressure, σ′c = 190 kN/m2 c. σ′c = 170 kN/m2arrow_forward
- 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 sand with e = 0.50 and Gs = 2.62. The water table is located 1.6 m below the ground surface having a unit weight of 17.3 kN/cu. Meter, determine the following: a. Compression index of clayb. Effective pressure at the midpoint of clayc. Primary settlement for normally consolidated clay.......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 primary consolidation settlement in mm. a.87.64 b.49 c.92.9 d.100.5arrow_forwardThe soil profile at a site consists of a 3-m thick sand layer (moist unit weight = 16.5 kN/m^3, saturated unit weight = 18.5 kN/m^3) underlain by a 6-m thick clay layer (w = 27%, Gs = 2.70, mv = 0.31 MPa^-1, Cv = 2.6 m^3/year), which is underlain by a gravel layer as shown in the figure. A 3 m compacted fill with a unit weight of 20 kN/m^3 is required to be placed at ground level.a) What would be the final consolidation settlement, in mm rounded to the first decimal place?b) How long will it take for 50 mm consolidation settlement, in months rounded to the first decimal place?c) What would be the consolidation settlement in one year, in mm rounded to nearest whole number?arrow_forward
- A stratum of normally consolidated clay of thickness 10 ft is drained on one side only. It has a hydraulic conductivity of h = 1.863 x 10^-8 in/sec and a coefficient of volume compressibility mv = 8.6 x 10^-4 in2/lb. Determine the ultimate value of the compression of the stratum by assuming a uniformly distributed load of 5250 lb/ft2. a.3.763" b.6.982" c.8.542" d.5.890" With Free Body Diagramarrow_forwardA 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 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_forward
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