A Mohr stress circle of a triaxial test relevant to a general soil (c#0, #0) is seen in the Figure. When cell pressure is (20+a) kN/m² in this test, how much can vertical force be at failure? Take cross section area on sample as 1.235*10-³ m² at failure. The figure is not drawn in scale. 0₁= 2c tan(45 + 6/2) + 03 tan² (45 + 4/2) t, kN/m² 50 220 o, kN/m² 03-2c tan(45 - $/2) + 0₁ tan² (45-4/2)
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- There is an upward flow of 0.06 ml/s through a sand sample with a coefficient of permeability 3 × 10^–2 mm/s. The thickness of the sample is 150 mm and the cross-sectional area is 4500 mm2.Determine the effective stress in N/m2 at the bottom the sample, if the saturated unit weight of the sample, is 18.9 kN/m3. Provide Diagram a.709.5 b.177.38 c.88.69 d.354.75In a tri –axial test of a silty soil, the sample failed at normal stress of 475 kPa and a shear stress of 350 kPa.1. Which of the following gives the angle of internal friction? a. 36.4 degreesb. 46.3 degreesc. 39.3 degreesd. 26.3 degrees2. Find the angle that the failure plane makes with the x-axis.a. 36.3 degreesb. 63.2 degreesc. 69.3 degreesd. 76.3 degrees3. Find the maximum failure stress. a. 1280.72 kPab. 1210.72 kPac. 1169.41 kPad. 1250.72 kPaIn a falling head permeameter, tge sample used is 18cm long havibg a cross sectional area of 22cm^2. The sample of soil is mqde of three layers. The thickness of the first layer from the top is 8cm and has a value of k1=4x10^-4 cm/sec, the second layer of thickness 8cm has k2=5.5x10^-4 cm/sec and the bottom later of thickness 4 cm has k3=7x10^-4 cm/sec. Assume that the flow is taking place perpendicular to the layers. The cross sectional area of the stand pipe is 3cm^2. A.Calculate the equivalent coefficient permeability in cm/sec of the soils ib tye direction of the flow Choices: 4.44 x10^-4 cm/s 4.97x10^-4 cm/s 3.24x10^-4 cm/s 3 53x10^-4 cm/s B.Calculate the flow rate in cm^3/hr when the head drops from 25cm to 12cm Choices: 18.20,24.58,28.42,20.65 C.Calculate the time recquired for a drop of head from 25 cm to 12 cm Choices: 58.22,62.91,97.05,60.44
- Pressure (kN/m²)27 54 107 214 429 214 107 54 Void ratio1.243 1.217 1.144 1.068 0.994 1.001 1.012 1.024 The table above shows results obtained from an oedometer test on a specimen of saturated clay. A layer of this clay 2.5 m thick lies below a 10 m depth of sand, the water table being at the surface. The saturated weight for both soils is 19 kN/m³. A 10-m depth of fill of unit weight of 21 kN/m³ is placed on the sand over an extensive area. If the fill was to be removed some time after the completion of consolidation, what heave (mm) would eventually take place due to swelling of the clay? (0 d.p). Use unit weight of water of 9.8 kN/m3. Use log base 10.Give the correct option In a drained triaxial test on consolidated clay the stress and angle are as follows: Deviator stress is 20 lb/in2 and friction angle is 21°. Calculate the effective confining pressure at failure?a) 21 lb/in2 b) 22.2 lb/in2 c) 25.4 lb/in 2 d) 17.9 lb/in2An 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 angle of friction . a.18 b.14 c.10 d.12
- 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.117.8 b.91.3 c.125.6 d.87.2In a drained triaxial test on consolidated clay the stress and angle are as follows: Deviator stress is 20 1b/in2 and friction angle is 210 . Calculate the effective confining pressure at failure.? A) 21 1b/in2 B) 22.2 1b/in2 C) 25.4 1b/in2 D) 17.9 1b/in2In a tri-axial test of silty soil, the sample failed at normal stresses of 521 kPa and a shear stress of 200 kPa. 1. Find the angle of internal friction. a. 23° b. 19° c. 21° d. 22° 2. Compute the angle that the failure plane makes with the x-axis a. 55.5° b. 61.6° c. 61.7° d. 45.3° 3. Compute the maximum failure stress. a. 781 kPa b. 510 kPa c. 838 kPa d. 812 kPa
- 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. 87.2The following data are from a direct shear test on an undisturbed soil sample. Represent the data by a Mohr Circle and compute the minor principal stress. Normal pressure = 16.2 kN/m2; Tangential pressure = 14.4 kN/m2, Angle of internal friction = 24°; c = 7.2 kN/m2. Show diagram. Note: the answer must be in the choices a. 26.25 b. 38.77 c. 57 d. 6.77In a tri-axial test of normally consolidated clay, the sample is subjected to chamber of confining pressure of 275 kPa and failed when deviator stress is 375 kPa. 1. Which of the following gives the angle of internal friction? a. 29.32° b. 32.29° c. 22.29° d. 23.92° 2. Which of the following gives the shear stress at failure? a. 187.50 kPa b. 342.79 kPa c. 171.40 kPa d. 205.12 kPa 3. Which of the following gives the effective normal stress at maximum shear? a. 462.50 kPa b. 605.00 kPa c. 512.50 kPa d. 325.00 kPa