Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 3, Problem 3.30P
To determine
Find the modulus of elasticity
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The P-wave velocity in a soil is 105 m/sec. Assuming Poisson’s ratio to be 0.32, calculate the modulus of elasticity of 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
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 2.7
Chapter 3 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Refer to Figure P3.3. Use Eqs. (3.10) and (3.11)...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31P
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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_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_forwardSubject: 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. 246arrow_forward
- Question 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_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_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_forward
- A 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_forwardQ: Explain the stress vs. time and settlement vs. time relationships for a soil layer under stress increase pf indicating the compensation of surcharge as shown in the figure below ignoring the secondary compression. Subject: ground improvement techniques Program: civil transportation engineeringarrow_forwardA soil profile consists of a clay layer underlain by a sand layer, as shown in Figure. If a tube is inserted into the bottom sand layer and the water level rises to 1 m above the ground surface, determine the vertical effective stresses and porewater pressures at A, B, and C. What is the value of the porewater pressure at A to cause the vertical effective stress there to be zero?arrow_forward
- A vane 20 cm long and 10 cm in diameter was pressed fully into a soft marine clay at the bottom of a bore hole. Torque was applied gradually and failure occurred at 1000 kg cm. The cohesion of the clay in kg/cm² isarrow_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_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_forward
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