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 12, Problem 12.17P
To determine
Find the modulus of elasticity of the soil
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The P-wave velocity in a soil is 105 m/s. AssumingPoisson’s ratio to be 0.32, calculate the modulus of elasticityof the soil. Assume that the unit weight of soil is 18 kN/m3.
1. (30 pts) The soil profile shown below consists of 10 meters of sandy silt overlying gravel.
The pore water pressure at the top surface of the silty sand is zero and can be assumed to
remain zero.
a) Calculate the level to which water would rise in a piezometer tube inserted into the top
of the gravel if the silty sand is just stable? Use submerged unit weights and seepage forces
to arrive at your answer (do not calculate total stresses and pore water pressures). Express
your answer as an elevation, e.g. "Elev. 130". (Note: Elevations are in meters) (10 pts)
b) Using the piezometric elevation calculated in part (a), calculate the pore water pressure
at the bottom of the silty sand if the silty sand is just stable (10 pts).
c) Calculate the total stress at the base of the silty sand and show that it is equal to the pore
water pressure calculated in part (b) (10 pts)
Elev. 120 m.
Elev. 110 m.
Sandy Silt (saturated)
Void ratio, e = 0.68
G = 2.65
Gravel
Subject: Soil Mechanics
Please provide a solution and a diagram.
A cylindrical sample of soil having a cohesion of 80 kN/m2 and an angle of internal friction of 20°is subjected to a cell pressure of 100 kN/m2. Determine the maximum deviator stress at which the sample will fail in kPa.
a. 333
b. 387
c. 255
d. 246
Chapter 12 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A vane shear test was performed on a clay layer using a vane with a diameter of 75.8 mm and a height of 151.6 mm. The vane was inserted to the total length of the vane (151.6 mm) but the top edge was exposed. The maximum moment required to rotate the vane was measured as 145 N·m. The liquid and plastic limits of the soil were 48 and 21, respectively. Determine the design undrained shear strength of the clay.arrow_forwardA 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 marrow_forwardQuestion 2) If the fundamental period of a soil layer is 2 seconds and the velocity of the shear wave is 200 m/s, what is the total thickness of the soil?arrow_forward
- Calculate the effective stress for a soil element at depth 5 m in a uniform deposit of soil, as shown in Figure below. Assume specific gravity of soil solids equal to 2.7arrow_forwardConsidering the given test setup answer the following questions. a) Calculate the coefficient of permeability if the cross-sectional area of the soil sample is 28 cm² and the flow rate is 8.2 cm³/s. b) Calculate the vertical effective stress acting on 10cm above plane A-A if the saturated unit weight of the soil sample is 19 kN/m². Take unit weight of water as 10kN/m³ A Sample 10 cm 50 cm 40 cm 10 cm.arrow_forwardA glass container with pervious bottom containing fine sand in loose state (void ratio = 0.8) is subjected to hydrostatic pressure from underneath until quick condition occurs in the sand. If the specific gravity of sand particles = 2.65, area of cross-section of sand sample= 10 cm2 and height of sample = 10 cm, compute the seepage force in N acting from below. a. 9.17. b. 0.9 c. 0.45 d 7.29arrow_forward
- (a) Explain the principle of effective stress and its importance in geotechnical engineering. (b) For the soil mass shown in the figure, determine the equation for the effective stress at point A. The unit weight of the soil above the ground water table is yand below is ysat. (c) The water table is located at a depth of 3.0 m below the ground surface in a deposit of sand 11.0 m thick. The sand is saturated above the water table. The saturated unit weight of the sand is 20 kN/m³. Consider the unit weight of water as 9.81 kN/m³. Calculate the (a) the total stress, (b) the pore water pressure and (c) the effective stress at depths 0, 3, 7, and 11 m from the ground surface, and draw the pressure distribution diagram.arrow_forwardConsider the soil profile shown in Figure E3-2. The moist unit weight of the top sand layer is 20.0 kN/m³. Capillary rise is present above the groundwater table. The saturated unit weights of clay 1 and clay 2 are 17.8 and 18.5 kN/m³, respectively. Between these two clay layers is a sand seam of negligible thickness. The tip of Piezometer 1 is within this Sand seam. The tip of Piezometer 2 is at the bottom of the Clay 2 layer. At Points A, B, C, D, E, and F, determine: (a) the vertical total stress (b) the pore fluid pressure (c) the vertical effective stress ↑ 3.0 m 5.0 m 4.0 m Ground surface Sand seam Sand Clay 1 Clay 2 Sand A B O E 2.5 m 2.0 m Figure E3-2 Piezometer 1 7.5 m Piezometer 2 9.5 marrow_forwardProblem 4: Total stress, pore pressure and effective stress A soil profile is shown in the following figure. Calculate the total stress, pore water pressure and effective stress at points A, B, and C. 6m 13m B Dry sand Saturated sand Clay Dry sand Ydry 16.5 kN/m³ Groundwater table Saturated sand Ysat 19.25 kN/m³ =arrow_forward
- 4. For a variable head permeability test, the following are given: 2. A borehole at a site reveals the soil profile shown. Assume Gs = 2.70 for all soil types. Length of soil specimen 200 mm Area of soil specimen a. What is the unit weight of the soil in layer 1 in kN/m³? 1000 mm? Area of standpipe b. What is the effective stress at a depth of 2m below the ground surface, in kPa? 40 mm? Head difference at time t = 0 c. What is the effective stress at a depth of 20.6m below the ground surface, in kPa? 500 mm Head difference at time t = 3 min 300 mm Elevation (m) Continuous supply Very fine wet sand with silt w = 5%, S = 40% Layer 1 2.0 Fine sand saturated by capillary action Layer 2 3.0 500 mm - Fine sand, w = 12% Layer 3 5.4 300 mm -Area of stand pipe. = 40 mm2 L=200 mm icimple -Porous plate Soft blue clay, w = 28% Layer 4 Area of soil sámple = 1000 mm? a. Compute the hydraulic conductivity of the soil in cm/sec. b. Compute the seepage velocity if the porosity of soil is 0.25. 20.6 c.…arrow_forwardA cylindrical sample of soil, having cohesion of 0.8 kg/cm2 and angle of internal friction of 200, is subjected to a cell pressure (σ3) of 1.0 kg/cm2. Calculate the maximum deviator stress at which the sample will fail.arrow_forwardA shear vane of 7.5 cm diameter and 11.0 cm length was used to measure the shear strength of soft clay. A torque of 600 kg-cm was required to shear the soil. The vane was then rotated rapidly to cause remoudling of the soil. The torque required in the remoulded state was 200 kg-cm. The shear strength and sensitivity of the soil are respectively.arrow_forward
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