A hand-carved sample of clay having a mass of 2.62 kN is removed from a 0.5 meter- diameter hole. The hole can be filled with 1.33 kN of water. A sample of clay having a mass of 112.4 grams is oven-dried and has a dry mass of 103.6 grams. Assuming the maximum and minimum attainable unit weight of 18.47 kN/m³ and 16.35 kN/m3 and specific gravity of 2.67, what is the relative density of the soil in percent? Relative Density= %

A hand-carved sample of clay having a mass of 2.62 kN is removed from a 0.5 meter- diameter hole. The hole can be filled with 1.33 kN of water. A sample of clay having a mass of 112.4 grams is oven-dried and has a dry mass of 103.6 grams. Assuming the maximum and minimum attainable unit weight of 18.47 kN/m³ and 16.35 kN/m3 and specific gravity of 2.67, what is the relative density of the soil in percent? Relative Density= %

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter9: Consolidation

Section: Chapter Questions

Problem 9.20CTP

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A hand-carved sample of clay having a mass of 2.62 kN is removed from a 0.5 meter- diameter hole. The hole can be filled with 1.33 kN of water. A sample of clay having a mass of 112.4 grams is oven-dried and has a dry mass of 103.6 grams. Assuming the maximum and minimum attainable unit weight of 18.47 kN/m3 and 16.33 kN/m3 and specific gravity of 2.67, what is the relative density of the soil in percent? Relative Density= %
A layer of sand 6 m thick lies beneath a clay stratum 5 m thick and above abed thick shale. In order to determine the permeability of sand, a well was driven to the top of the shale and water pumped out at a rate of 0.01m3/sec. Two observation wells driven through the clay at 15m and 30 m from the pumping well and water was found to rise to levels of 3m and 2.4 m below the ground water surface. Calculate the permeability of soil.
A soil profile consists of a clay layer of 10 m thick between a permeable sand layer above and an impermeable rock layer below, the water table being in the sand layer. Before the construction of a reservoir raft foundation, piezometers were installed in the clay layer.The whole process of filling the reservoir may be approximated to applying rapidly a single pressure increment of 100 kN/m2 uniformly throughout the clay layer. One year after filling the reservoir, the settlement was 20 cm and the piezometers indicated the distribution of excess pore pressure as shown in the figure below. Estimate the final settlement and the time to complete 90 % of primary consolidation.
The compression diagram for a precompressed clay indicates that it had been compressed under a pressure of 240 kN/m2. The compression index is 0.9; its void ratio under a pressure of 180 kN/m2 is 1.5. Estimate the void ratio if the pressure is increased to 360 kN/m2. a. 0.70 b. 1.246 c. 1.46 d. 1.34
1) A dry rock weighs 240 grams and has a bulk density of 2.5 grams per cubic centimeter. Whensaturated with pure water at room temperature (T = 25 °C), it weighs 255 grams. At room temperature,specific volume of water is 1.00295E-03 m3/kg. Calculate the porosity of the sample. 2) A cylindrical core sample of 1.5 cm length and 1.2 cm2cross-section has upstream and downstreampressures of 2 atm and 1.25 atm, respectively, during steady state flow of water at 1.00 g/s at roomtemperature. Calculate the permeability of the core. (Water @ 25 °C, viscosity = 1 cp, density of water = 0.997 g/cm3).
8. An exploratory drill hole was made in a saturated stiff clay having a water content of 32%. It was observed that the sand layer underlying the clay was under artesian pressure water in the drill hole rose to a height of 4 m. above the top of the sand layer. If an open excavation is to be made in the clay. (See picture below) Determine the void ratio of clay. (Answer: 0.864) Determine the saturated unit weight of clay. (Answer: 18.76 kN/m3) How deep can the excavation proceed before the bottom of the saturated clay heaves or when its effective stress is zero. (Answer: 5.91 m)
The compression diagram of a pre-compressed clay indicates that it had compressed under a pressure of 240 kN / m2. The compression ratio is 0.9; Your space vacuum under a pressure of 180 kN / m2 is 1.5. Estimate the void ratio if the effort s increases to 360 kN / m2.
The figure below shows a 20 m thick layer of normally consolidated clay (ϒt = 18.6 kN/m3) that is one-dimensionally loaded by Δσv = 60 kPa. The clay layer is below a 5 m thick layer of granular fill (ϒt = 19.6 kN/m3), and a dense, compacted glacial till underlies the clay. The water table is located at the top of the clay layer. A 1-D consolidation test is performed on a 3.00 cm thick, doubly drained specimen from the middle of the clay layer. When the stress conditions from the field (including the Δσv = 60 kPa) are applied to this specimen, it takes 1.5 minutes for 60% average consolidation to occur.a. From the lab test data, determine cv for the soil.b. Compute pore water pressure at 20 m depth 7 years after the Δσv is applied to the clay layer. c. Compute the average degree of consolidation 7 years after Δσv application.
Determine the value of void ratio if porosity 0.79
An exploratory drill hole was made in a stiff saturated clay, as shown in Figure 1, having a moisture content of 25% and Gs = 2.56. The sand layer underlying the clay was observed to be under artesian pressure. Water in the drill hole rose to a height of 3 m above the top of sand layer. If an open excavation is to be made in the clay. a.What is the maximum depth of excavation before the bottom heaves? b.What would be the required height of water inside the cut in order to ensure a factor of safety of 1.5?
The figure below shows a 24 m thick layer of normally consolidated clay (ϒt = 18.6 kN/m3) that is one-dimensionally loaded by Δσv = 100 kPa. The clay layer is below a 4 m thick layer of granular fill (ϒt = 19.6 kN/m3), and a dense, compacted glacial till underlies the clay. The water table is located at the top of the clay layer. A 1-D consolidation test is performed on a 2.50 cm thick, doubly drained specimen from the middle of the clay layer. When the stress conditions from the field (including Δσv = 100 kPa) are applied to this specimen, it takes 6 min for 90% average consolidation to occur.a. From the lab test data, determine cv for the soil.b. Compute the pore pressure at depth 22 m before and immediately after the 100 kPa stress is applied.c. At depth 22 m, compute the pore pressure 8.5 years after the 100 kPa is applied.
An undisturbed sample of clay has a wet mass of 30 kg, a dry mas of 25kg, and a total volume of 0.014 m3, and a specific gravity of 2.65. What is the porosity and void ratio?