For the following statements: P: The lateral stress in the soil while being tested in an oedometer is always at-rest. Q: For a perfectly rigid strip footing at deeper depths in a sand deposit, the vertical normal contact stress at the footing edge is greater than that at its centre. R: The corrections for overburden pressure and dilatancy are not applied to measured SPT-N values in case of clay deposits. The correct combination of the statements is P Q R (a) True True False (b) False (c) False False True False False (d) True True True
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- A square footing supporting a column applies a uniform pressure of 100 kPa on top of a deep clay deposit. Based on the bulbs of pressure developed below the footing shown in the following figure, which of the following statements are correct (select all that apply)? A.Immediately after construction, the excess pore water pressure (∆u) developed at Point A remains lower than ∆u developed at Point B B.Immediately after construction, the excess pore water pressures (∆u) developed at Points B and C are the same C.Since the clay layer is homogeneous, one-dimensional Terzaghi’s theory of consolidation can be applied to provide an accurate estimate of the rate of consolidation at Points A, B, and C. D.After construction, three-dimensional seepage occurs below the foundation as the excess pore water pressures dissipate.24.A series of consolidated, undrained triaxial tests were carried out on specimens of asaturated clay under no backpressure. The test data at failure are summarized:Confiningpressure (kPa) Deviator stress(kPa) Pore waterpressure (kPa) 150 192 80300 341 154450 504 222 a. Draw the Mohr circles and find the cohesion and friction angles in terms of effectivestresses.b. Compute Skempton’s A- parameter at failure for all three specimens.c. Is the soil normally consolidated or over consolidated? Why?d. Another specimen of the same day that was consolidated under a cell pressure of 250 kPa wassubjected to a consolidated, drained tri axial test. What would be the deviator stress at failure?A sample of dry sand is tested in direct shear. Theshear box holding the sample has a circular crosssection with a diameter of 50 mm. The normal(compressive) load imposed is 200 N. The sam-ple shears when the shear force is 130 N.(a) Determine the test normal stress and shearstress at failure.(b) Determine the angle of internal frictionfor this soil.(c) What is the probable condition of the testedsample (dense, loose, etc.)?
- 2. A series of consolidated, undrained triaxial tests were carried out on specimens of a saturated clay under no backpressure. The test data at failure are summarized: Confining Pressure (kPa) Deviator Stress (kPa) Pore Water Pressure (kPa) 150 192 80 300 341 154 450 504 222 a. Draw the Mohr circles and find the cohesion and friction angles in terms of effective stresses. b. Compute Skempton’s A-parameter at failure for all three specimens. c. Is the soil normally consolidated or overconsolidated? Why? d. Another specimen of the same clay that was consolidated under a cell pressure of 250 kPa was subjected to a consolidated, drained triaxial test. What would be the deviator stress at failure?Q-4: Soil samples have been collected from a virgin ground and sent to a NATA accredited laboratory to determine shear strength parameters. The laboratory conducted direct shear test using 100 mm X 100 mm samples and returned the following test result. Test no. 1 2 Normal stress (kPa) 100 200 Shear stress at failure (kPa) 77.74 135.47 For the given soil, determine minor principal stress when major principal stress is are 450 kPa.A square footing supporting a column applies a uniform pressure of 100 kPa on top of a deep clay deposit. Based on the bulbs of pressure developed below the footing shown in the following figure, which of the following statements are correct (select all that apply)? A.Immediately after construction, the effective vertical stress developed at Points B and C is the same. B.Immediately after construction, the excess pore water pressure (∆u) developed at Point B is lower than ∆u developed at Point A. C.After construction, the excess pore water pressure at Point C dissipates faster than that dissipated at Point B. D.
- Which failure criterion is used to interpret triaxial test results for long term loading condition? O A. Tresca failure criterion. O B. None of the filure criterion models. O C. Mohr-Coulomb failure criterion. The basis of this criterion is that a soil will fail when the maximum stress obliquity is attained. O D. Coulomb failure criterion. QUESTION 16 The confining pressure on a loose saturated sand under groundwater is 100 kPa. The sand is shaken by a seismic event. What is the value of the maximum excess porewater pressure that can develop in the sand? What is the corresponding effective stress? O A. Maximum excess porewater pressure = 90 kPa. B. Maximum excess porewater pressure = 100 kPa. The effective stress = 0. The sand mass ill fluidize (be like a viscous liquid). O C. Maximum excess porewater pressure 25 kPa. O D. Maximum excess porewater pressure = 50 kPa.2. A soil specimen is subjected to a tri-axial test. The soilspecimen is cohesionless. If the shear stress that causesfailure is 280 kPa and the normal stress at failure is only480 kPa.a) Determine the angle of shearing resistance,b) Determine the angle that the failure planemeasured from the major principal plane.c) Determine the total axial stress at which failure isexpected to occur.A triaxial test was performed on a dry. cohesionless sand. The sample fails when the confining stress (minor principal) is 45 kPa and the axial stress (major principal) is 89 kPa. Determine the angle of internal friction Φ for the soil. Adjust your answer to TWO decimal places.
- Problem 3: A vane shear test was conducted on a soft clay. The vane was 112 mm in height and 70 mm in diameter. It was pressed and fully penetrated into the clay with an applied torque, T. The test gave a result of corrected undrained shear strength of 34.65 kPa with a liquid limit of the soil equal to 60 and a plastic limit of 25. Determine the following: a) the torque T applied b) the unconfined compressive strength of clay c) the unconfined compression strength of clay in the remolded state if the soil sample has a sensitivity of 3.5.a sample of soil is subjected to two mutually perpendicular direet stresses of 80 kN/m² tensile and 50 kN/m compressive, together with a shear stress of 30 kn². The shear couple acting on planes carrying the 80 kN/m? stress is clockwise in effect. Find numerically: i) 01, and o3 ii) The maximum shear stress. iii) The direction of the planes on which these stresses act. Confirm your answer by means of a Mohr's stress circle diagram, and from the diagram determine the magnitude of the normal stress on a plane inclined at 20° counterelockwise to the plane on which the 50 kN/m? stress acts.The figure below shows a surface foundation subjected to a vertical load Q 200 kN and a moment M 50 kN-m. Please answer the following questions: (1) Soil samples from this site are mainly cohesionless sand (e'= 0). A consolidated undrained triaxial test was conducted on one of the samples at a confining pressure o, = 100 kN/m. Failure occurred when the major principal stress a = 200 kN/m with a pore water pressure u = 50 kN/m². Deternine the effective stress angle of friction, ' of the soil accordingly. (10%) (2) Calculate the equivalent load eccentrieity (5%), and cheek if it causes a separation between the foundation and the soil (5%). (3) Use general bearing capacity equation and gffective area method proposed by Meyerhof to estimate the ultimate bearing capacity of the foundation (15%), and check if it meets the required factor of safety for short-term loading (5%). %3D 10-1900EN Lonku IM-4004N-m SokUm Im B-2m.L-2m 7 17 KN m B-