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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- The 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 kPa1. A soil profile consisting of three soil layers is shown. Characteristics of the layers are: Layer No. Thickness Soil Parameters 1 H1 = 5m e = 0.7; Gs = 2.69 2 H2= 8m e = 0.55; Gs = 2.7 3 Ha = 3m w = 38%; e = 1.2 TE H₂ NIVS B Layer 1 Groundwater table Layer 2 Layer 3 Dry sand Sand Clay Rock Determine: a The effective stress at Point C b. The maximum Neutral Stress at Point D c.) What is the change in the effective stress at C if the water level rises 3m above Point A due to flooding?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/m²
- 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 = 2.7 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).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 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).
- 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 mProblem 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=0.52 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
- 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).Water 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.Dry Sand H Groundwater Table Clay H, Refer to the soil profile shown. Given H1 = 9.46 m., and H2 = 4.79 m. If the ground water table rises by 2.58 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.57, e = 0.63. Properties of clay: Gs = 2.74, e = 0.88. Round off to two decimal places.