Question (3) (30 pts) A soil profile beneath a lake consists of 8 m thick sand layer underlain by a 4 m clay layer. The water level is 3 m above the top of the sand. The saturated unit weight of the sand is 20 kN/m³ and that of the clay is 19 kN/m³. The unit weight of water is 9.81 kN/m³. i. (10 pts) Plot the water-soil system and label the soil names and unit weights on the diagram. At the centerline of the clay layer compute the: ii. (10 pts) Total vertical stress. (10 pts) The total Horizontal stress (Assume K. = 0.61)
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- 3. A layer of silty soil of thickness 5 m lies below the ground surface at a particular site and below the silt layer lies a clay stratum. The ground water table is at a depth of 4 m below the ground surface. The following data are available for both the silt and clay layers of soil. e = 0.7, and G = 2.7 Silt layer: D1o = 0.018 mm, Clay layer: e = 0.8 and G, = 2.75 (c) the Required: (a) Height of capillary rise, (b) capillary pressure, effective pressure at the ground surface, at GWT level, at the bottom of the silt layer and at a depth of H = 6 m below ground level, and (d) at a depth 2 m below ground level. Ans: a) 4.0 m, b) 16.16KN/m², c) 78.56 kN/m²_, d) 47.36 kN/m²The soil profile at a site consists of 5 m sand underlain by clay layer. The ground water table is 2 m below the ground surface. Average void ratio of sand is 0.52. Water content of clay is 42% and degree of saturation of sand above water table is 37%.Assume specific gravity of sand and clay is 2.65. 1. Compute the unit weight of clay. a. 19.82 kN/m³ b. 17.47 kN/m³ c. 18.62 kN/m³ d. 16.20 kN/m³ 2. Compute the total pressure 10 m below the ground surface. a. 185.41 kPa b. 160.25 kPa c. 140.53 kPa d. 153.62 kPa 3. Compute the effective pressure 10 m below the ground surface. a. 106.94 kPa b. 96.52 kPa c. 115.62 kPa d. 108.36 kPaA layer of silty soil of thickness 5 m lies below the ground surface at a particular site and below thesilt layer lies a clay stratum. The ground water table is at a depth of 4 m below the ground surface. The following data are available for both the silt and clay layers of soil. Silt layer: ?10= 0.018 mm, e= 0.7, and Gs = 2.7 Clay layer: e = 0.8 and Gs = 2.75 Required: (a) Height of capillary rise, (b) capillarypressure, (c) the effective pressure at theground surface, at groundwater table (GWT)level, at the bottom of the silt layerand at a depth of H =6 m below groundlevel, and (d) at a depth 2 m below ground level.(Sketch or draw the stress distribution diagram).
- A soil sample with a layered soil is placed in a tube 3m long. water is allowed to flow in the one end of the soil. The cross-sectional area of the soil sample is 0.1m^2, and the average amount of water collected is 120 cm^2/sec. 25% of the total head loss occurs in soil A, another 25% of the total head loss occurs in soil C. a). determine the total elevation, and pressure pressure head loss at point 1,2,3 and 4. b). Determine the hydraulic gradient in the soil BA layer of silty soil of thickness 5 m lies below the ground surface at a particular site and below the silt layer lies a clay stratum. The ground water table is at a depth of 4 m below the ground surface.The following data are available for both the silt and clay layers of soil.Silt layer: ?10 = 0.018 mm, e = 0.7, and Gs = 2.7Clay layer: e = 0.8 and Gs = 2.75Required: (a) Height of capillary rise, (b) capillary pressure, (c) the effective pressure at the ground surface, at groundwater table (GWT) level, at the bottom of the silt layer and at a depth of H =6 m below ground level, and (d) at a depth 2 m below ground level. (Sketch or draw the stress distribution diagram).Water flows through a sand filter as shown on the figure. The soil has a cross sectional area of 0.25 m². d1=d2-d3=0.58 m. Head difference is 0.93 m. 7 Inflow Outflow Soil A Soil B Soil C d3 Coefficient of Permeability for Each Soil: Soil A Kax 2.71 x 10-² cm/s Soil A Kaz 1.58 x 10-³ cm/s Soil B Kbx 1.40 x 10-² cm/s Soil B Kbz 2.56 x 10-³ cm/s Soil C Kcx 3.23 x 102 cm/s Soil C Kcz 3.19 x 10-³ cm/s Compute the interstitial velocity if the soil has a void ratio of 0.76 in meters per minute.. Use 4 decimal places.
- A layer of silty soil of thickness 5 m lies below the ground surface at a particular site and below thesilt layer lies a clay stratum. The ground water table is at a depth of 4 m below the ground surface.The following data are available for both the silt and clay layers of soil. Silt layer: ?10= 0.018 mm, e= 0.7, and Gs = 2.7Clay layer: e = 0.8 and Gs = 2.75Required: (a) Height of capillary rise, (b) capillarypressure, (c) the effective pressure at theground surface, at groundwater table (GWT)level, at the bottom of the silt layerand at a depth of H =6 m below groundlevel, (d) at a depth 2 m below ground level.(Sketch or draw the stress distribution diagram).A layered soil deposit is of dimension 3m x 2m x 3m. There are three different soils, each of 1 m thick as shown. The coefficient of permeability of these soil layered are shown in figure. The water is flowing in the z-direction under the head loss of 5.15 m. The quantity of flow (in m³/hr) would be 1m 1 m 1m 2m k₂ = 5 x 10 m/s k₂=2.5 x 10 m/s k₂ = 1.25 x 10³ m/s 3 mWater flows through a sand filter as shown on the figure. The soil has a cross sectional area of 0.39 m². d1=d2=d3=0.52 m. Head difference is 0.93 m. Inflow Outflow Soil A Soil B Soil C d2 d3 Coefficient of Permeability for Each Soil: Soil A Kax 2.92 x 10-2 cm/s Soil A Kaz 1.36 x 10-3 cm/s Soil B Kbx 1.67 x 10.2 cm/s Soil B Kbz 2.92 x 10-3 cm/s Soil CKcx 3.28 x 102 cm/s Soil C Kcz 3.49 x 10-3 cm/s Compute the coefficient of permeability of the sand filler in cm/s. Use 4 decimal places
- Problem 3: A layered soil is shown below. Given: H1 = 1.5 m kj = 9 x 104 cm/sec H2 = 2.5 m k2 = 7.8 x 10³ cm/sec H3 = 3.5 m k3 = 4.5 x 10$ cm/sec %3D Estimate the ratio of equivalent permeability, kH(eqykv(cq). H1 H2 k2 H3Water flows through a sand filter as shown on the figure. The soil has a cross sectional area of 0.39 m². d1=d2=d3=0.58 m. Head difference is 0.84 m. Inflow h Outflow Soil A Soil B Soll C d2 d3- Coefficient of Permeability for Each Soil: Soil A Kax 2.15 x 10-² cm/s Soil A Kaz 1.51 x 10-3 cm/s Soil B Kbx 1.67 x 10.2 cm/s Soil B Kbz 2.86 x 10-³ cm/s Soil C Kcx|3,30 x 102 cm/s Soil C Kcz 3.31 x 10-3 cm/s Compute the interstitial velocity if the soil has a void ratio of 0.77 in meters per minute.. Use 4 decimal places.stion 17 | Dry Sand H Groundwater Table Clay Refer to the soil profile shown. Given H1 = 8.93 m., and H2 = 5.32 m. If the ground water table rises by 2.01 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.56, e = 0.65. Properties of clay: Gs = 2.72, e = 0.87. Round off to two decimal places.