The cross-sectional area A(x) of a vertical funnel-shape soil specimen of height 2 ft in the2constant-head test (see figure below) varies as A(x) = -sq ft where x (in ft) is measured fromx+1the top of the soil region. Knowing the downward flow rate q must be constant at any soil cross-section and the soil's average permeability coefficient k is 0.3ft/sec, obtain(a) the 1-D equation of continuity with Darcy's law in terms of the total head h(x) and theunknown steady flow rate q,(b) the hydraulic boundary conditions on h(x) at the top (x=0) and bottom (x=2') of the soil,(c) the complete solution for h(x) in the soil zone by applying its boundary conditions at .x=0 and2' in (b), and check that the solution satisfies the conditions of (b). Plot it over the range of 0 ≤ x≤2' of the soil region.(d) the pressure elevation head he(x) over 0 ≤ x ≤ 2' in the soil and plot it.(e) the pressure head hp(x) in the soil and plot it.▼watersoil2.5'2'← datum

Answer → The 1-D equation of continuity with Darcy's law states q=−kA(x)dx/dh. At x=0,h(0) , is the…

Answered: The cross-sectional area A(x) of a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A constant head permeability test has a soil sample length in the direction of flow of 350 mm, a sample cross sectional area normal to the flow direction of 125 cm2, and a head loss through the sample of 420 mm. The soil sample is a medium dense sand with a void ratio of 0.61. During a 3 minute test period, 580 cm3 of water flowed through the sample. (a) Sketch the Constant Head Permeameter and label the sketch with the appropriate dimensions given above. (b) Determine the Hydraulic conductivity, k, in cm/sec, and the seepage velocity (not just apparent velocity).
Subject: Soil Mechanics Please provide a solution and diagram An undisturbed soil sample, 100 mm in diameter and 200 mm high, was tested in a triaxial machine. The sample failed at an additional axial load of 3 kN with a vertical deformation of 20 mm. The failure plane was inclined at 50° to the horizontal and the cell pressure was 300 kN/m2, Determine, from Mohr’s circle, the cohesion in kPa. a. 125.6 b. 117.8 c. 91.3 d. 87.2
Solve both,.please.
Following are the results from the liquid and plastic limit tests for a soil. Liquid limit test: Number of blows, N 16 20 28 Moisture content (%) 36.5 34.1 27.0 Plastic limit test: PL = 12.2% a. Draw the flow curve and obtain the liquid limit. b. What is the plasticity index of the soil?
6- For a falling-head permeability test, the following are given: Length of soil specimen= 700 mm • Area of the soil specimen=20 cm² Area of the standpipe= 1.05 cm² Head difference at time t = 0 is 800 mm . . • Head difference at time t= 8 min is 500 mm a. Determine the absolute permeability of the soil. b. What is the head difference at time 6 min? = Assume that the test was conducted at 20= °C, and at 20= °C, Yw- 9.789 kN/m³ and n=1.005x10³ Ns/m².
A soil sample is consolidated in the triaxial chamber under a chamber pressure of 200 kN/m2. The drain valve closes and the sample fails by applying the diverter stress Calculate the value of:-The sample breakage diverter value-The pore pressure value at the moment the specimen breaks- Skempton's A parameterThe soil shear strength parameters are: c=0, ϕ=14° and c'=0, ϕ=20°
Soil Mechanics Sand cone equipment is used to perform a field density on compacted earth fill. Sand is used in the cone and is known to have a bulk density of 15 kN/m3. The wet weight of soil sample from the test hole is 20.601 N. The dry weight of soil sample is 17.926 N. The weight of the sand in the sand cone to fill the test hole is 16.053 N. Determine the in-place dry density in kN/m3 of the tested soil. a. 17.57 b. 16.78 c. 18.10 d. 15.97
2. The coefficient of permeability for a fine-grained soil is determined in the laboratory by use of a falling head test. Test conditions and results are as indicated below. Determine the coefficient of permeability, then indicate the probable soil classification. - Length of soil sample = 150mm - Cross-sectional area of standpipe = 200mm2 - Cross-sectional area of soil sample = 1,140mm2 - At the start of the test, the water level in the supply standpipe is 0.95m above the top of the permeameter. - %3D Draw the sketch. Reference Table for Soil Classification Soil Type k, Coefficient of Permeability (mm/sec) Clean Gravel 10 - 100 Clean Sand and Gravel mixture none Fine sand.silt 10-2 to 10-4 Sand Silt Clay 10-3 to 10-6 Glacial < 10-6
Situation 2. A granular soil located in a borrow pit is found to have an in place dry density of 1895 kg/m^3. In the laboratory, values of dry maximum density and minimum density are determined as 2100 kg/m^3 and 1440 kg/m^3, respectively. a. Compute the relative density of the soil in the borrow pit. b. Compute the void ratio of the soil in the natural condition if the maximum and minimum densities indicate void ratio ratios of 0.28 at the max density and 0.92 at minimum density. c. Compute the specific gravity of this soil.
Show solution. The answer must be 27.2 and 17.74
The data of soil specimen are given below; Y(pcf) = 128.9, S% = 48.7 Y(pcf) = 131.4, S% = 78.8 a. Solve for the void ratio of soil specimen. b. Calculate the specific gravity of the soil solids. c. Find the porosity of the soil specimen.
6 A consolidated-undrained tri-axial test was conducted on a normally consolidated clay sample and the results are as follows: Chamber confining pressure = 115 kPa, Deviator stress at failure = 87 kPa, Pore Water Pressure = 56 kPa. These results were used to determine the drained friction angle of the soil. Compute the deviator stress (kPa) at failure when the drained test was conducted with the chamber confining pressure changed to 159 kPa. Round off to two decimal places.

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