Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 6, Problem 6.16P
To determine
Find the significant depth of densification.
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The coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/s. Estimate the coefficient of permeability at a void ratio of 0.48 using Casagrande equation.
The coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/sec. estimate the
coefficient of permeability at a void ratio of 0.48.
a. Using Casagrande equation
b. Using kozeny - Carman equation.
Q: For the soil profile shown in figure. Find: a) Final consolidation settlement. b) Time required for 60% consolidation. c) Pore water pressure after 18 months. d) Piezometer reading above point (A) immediately after applying the load. Surcharge Aq.= 100 kPa Sand y=15kN/m’ 7kN/ m® Piezometer t AT ol g thefity i
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- A sand has Gs = 2.66. Calculate the hydraulic gradient that will cause boiling for e = 0.35, 0.45, 0.55, 0.7, and 0.8.arrow_forwardThe total density of sand in an embankment was found to be 1900kg/m^3 and the field water content was 12% . In the laboratory, the density of the solid was found to be 2660 kg.m^3, and the maximum and minimum voids ratio were 0.63 and 0.44, respectively What is the void ratio of the sand? Calculate the relative density of the sand in the field:arrow_forwardFor a laboratory consolidation test on a clay specimen (drained both sides), the following were obtained. Thickness of the clay layer = 25mm o_1 = 200KN/m^2 o'2 = 400KN/m^2 e_1 = 0.73 e_2 = 0.61 Time for 50% consolidation (t_50 = 2.8min: From table U = 50%, Tv = 0.197 %3D Determine the hydraulic conductivity (in cm/sec) of the clay for the loading range.arrow_forward
- For a laboratory consolidation test on a clay specimen (drained on both sides) the following results were obtained: Thickness of clay soil= 25 mm; P_1 = 50 kPa; P_2 = 120 kPa; e_1 = 0.92; e_2 = 0.78; Time for 50% consolidation= 2.5 min. Tv = 0.197. Determine the hydraulic conductivity of the clay for the loading range in m/min. Show diagramarrow_forwardDetermine the ultimate consolidation settlement of the entire deposit. Where the distance of A is 3m and the distance of B is 2.25.arrow_forward4.15 The following results were obtained from a liquid limit test on a clay using the Casagrande cup device. Number of blows 6 12 20 28 32 Water content (%) 52.5 47.1 43.2 38.6 37.0 (а) Determine the liquid limit of this clay. (b) If the natural water content is 38% and the plastic limit is 23%, calculate the liquidity index. (c) Do you expect a brittle type of failure for this soil? Justify your answer.arrow_forward
- A large oil storage tank 90 meters in diameter is to be constructed on the soil profile shown in the figure below. The average depth of the oil in the tank is 18 meters, and the specific gravity of the oil is 0.92. Consolidation test showed that the clay is normally consolidated with Ccε = 0.154, Crε = 0.0112, and σ'p = 260 kPa. Estimate the total consolidation settlement of the tank. Neglect any settlements in the sand (ρd,sand = 1.71 Mg / m3). Perform this estimation by: a. Assuming conditions at the mid-depth of the clay are typical of the entire clay layer. b. Dividing the clay layer into four thinner layers with a thickness of 5 meters each, computing the settlement of each thin layer, and summing up using the included equation for sc. Assume that σ'p = σ'vo when σ'vo > σ'p. Hint: the load applied by the tank is given by qo = ϒoilhoilarrow_forwardThe coefficient of permeability of sand at a void ratio of 0.80 is 0.47 mm/s. Estimate the coefficient of permeability of this sand at a void ratio of 0.50.arrow_forward. The wet density of a sample of sand found at a site is 1.85 Mg/cubic meter with a water content of 12%. The specific gravity is 2.71 (Mg/cubic meter). The maximun and minimum void ratios are 0.65 and 0.38, respectivily. Calculate the relative density of the sand at the site.arrow_forward
- The laboratory consolidation test is conducted on a clay sample. The following data results were obtained P1 =55 kPa P2 = 130 kPa e1= 0.95 e2= 0.80 Thickness of the sample of clay= 35mm Time for 50% consolidation = 3.0 min Tv= 0.197 a. Find the coefficient of volume compressibility b. Determine the coefficient of consolidation if a sample of clay was drained on both sides c. Compute the hydraulic conductivity of the clayarrow_forwardThe results of a laboratory consolidation test on a clay specimen are the following. Pressure, ir (lb/ft²) 500 1.000 2.000 4.000 8,000 16.000 Total height of specimen at end of consolidation (in.) 0.6947 0.6850 0.6705 0.6520 0.6358 0.6252 Given the initial height of specimen = 0.748 in.. G specimen = 95.2 g. and area of specimen = 4.91 in.²: a. Plot the e-log or curve = 2.68. mass of dry b. Determine the preconsolidation pressure c. Calculate the compression index, C.arrow_forwardi. A sandstone core sample is saturated 100% with water. Calculate the absolute permeability of the core sample if the water is flowing at 6.21 cubic centimetres per second. The length of the core sample is 14 centimetres and its diameters is 6 centimetres. The pressure differential across the core sample is 15 atmospheric pressure and the water viscosity is 1.2 centipoises. Explain a method of how the permeability of low permeability reservoirs can be ii. improved.arrow_forward
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