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- The following data are from a direct shear test on an undisturbed soil sample. Represent the data by a Mohr Circle and compute the direction of principal planes. Normal pressure = 16.2 kN/m2; Tangential pressure = 14.4 kN/m2, Angle of internal friction = 24°; c = 7.2 kN/m2. a. 6.77 b. 26.25 c. 57 d. 38.77The soil stress state is shown in the figure, σx = 10 kN/m2, σy = 50 kN/m2, τxy = -10 kN/m2:(1) Please use Mohr circle to draw the soil stress state(2) Calculate the maximum principal stress σ1 and the minimum principal stress σ3(3) Please find the (pole) position(4) What is the angle of intersection between the maximum principal stress surface and the horizontal plane?HW?2 - Classification of Rocks The following data have been collected from uni-axial load test for rock specimen with diameter and height of § cm and 10 cm, respectively. [Load (kg) | 1050 | 1680 | 3070 | 5850 | 3340 | 2760 | 2710 | 2680 Strain | 003 | 005 | 0.09 | 014 | 019 | 025 | 029 | 034 1- Calculate 0y (kg/em®) 2- Find Modulus of initial tangent 3- Classify the rock according to its strength and modulus of elasticity.
- The 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 a. 38.77 b. 57 c. 6.77 d. 26.253. The following convergence measurements (U) have been made in a 4.6-m-diameter circular vertical shaft in good quality granitic rock mass (Em = 40 GPa, ν = 0.2): θ (deg) U (mm) 0 2.25 45 2.39 90 1.50 135 1.00 a) Derive the equations that relate convergence to in situ stress. b) The angle θ is measured (clockwise) with respect to the x-axis, which is oriented 30 degrees clockwise from True North. What is the orientation of the maximum principal stress with respect to True North?The following data are from a direct shear test on an undisturbed soil sample. Represent the data by a Mohr Circle and compute the major principal stress. Normal pressure = 16.2 kN/m2; Tangential pressure = 14.4 kN/m2, Angle of internal friction = 24°; c= 7.2 kN/m2. a. 6.77 b. 38.77 c. 26.25 d 57
- A granular soil is subjected to a minor principal stress of 200 kN/m2. If the angle of internal friction is 30°.What is the maximum shear stress induced? a.300 b.200 c.224.2 d.173.2The 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 a. 57 b. 67 c. 6.77 d. 26.25 e. 38.77A sandy soil has a drained angle of friction of 32°. The deviation stress at failure is 400 kPa. 13. Compute the angle that the failure plane makes with the major principal plane. a. 63° b. 64° c. 61° d. 60° 14. Compute the chamber confining pressure in kPa. a. 174.61 b. 177.42 c. 103.40 d. 170.50 15. Compute the shear stress in kPa at the point of the failure plane. a. 127.21 b. 339.22 c. 201.60 d. 169.61
- The angle of internal friction of a cohesive soil which was tested using a tri-axial shear apparatus is equal to 26.57°. Failure occurred when the shearing stress is 250 kPa and the normal stress is 480 kPa. Determine the maximum principal stress at failure, in kPa. Round off to two decimal places. (ANS: 884.55)A soil profi le consists of a clay layer underlain by a sandlayer, as shown in Figure P7.17. If a tube is inserted intothe bottom sand layer and the water level rises to 1 mabove the ground surface, determine the vertical effective stresses and porewater pressures at A, B, and C. IfKo is 0.5, determine the lateral effective and lateral totalstresses at A, B, and C. What is the value of the porewater pressure at A to cause the vertical effective stressthere to be zero?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. 387 b. 333 c. 246 d. 255