Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 10, Problem 10.6P
To determine
Calculate the major principal stress at failure.
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The relationship between the relative density, Dr, and the angle of friction, phi prime, of a sand can be given as phi prime=25 + 0.18Dr (Dr in percent). A drained triaxial test on the same sand was conducted with a chamber confining pressure of 124 kN/m^2. The relative density of compaction was 60%. Calculate the major principal stress at failure.
A triaxial shear test was performed on a well-drained sand sample. The normal stress on the failure plane and the shear stress on the failure plane, at failure were determined to be 6100 psf and 4600 psf, respectively.
a. Determine the angle of internal friction of the sand?
b. Determine the angle of the failure plane?
c. Determine the maximum principal stress?
Please answer this asap. For upvote. Thank you very much
The angle of friction of a compacted dry sand is 37 degrees. In a direct shear test on the sand, anormal stress of 150 kN/m^2 was applied. The size of the specimen was 50mmx50mx30mm(height)
SITUATION 1
a. Compute the shearing stress
Your answer
b. What shear force will cause shear failure?
Your answer
c. Determine the shear stress at a depth of 3m if the void ratio of the soil is 0.60. Gs Of sand is 2.70
Chapter 10 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 10 - Prob. 10.1PCh. 10 - Prob. 10.2PCh. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.10P
Ch. 10 - Prob. 10.11PCh. 10 - Prob. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.14PCh. 10 - Prob. 10.15PCh. 10 - Prob. 10.16PCh. 10 - Prob. 10.17PCh. 10 - Prob. 10.18PCh. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Prob. 10.21PCh. 10 - Prob. 10.22PCh. 10 - Prob. 10.23PCh. 10 - Prob. 10.24CTPCh. 10 - Prob. 10.25CTP
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- !arrow_forward9. A consolidated drained test was carried out on a sandy clay under a cell pressure of 250 kPa. A constant back pressure of 120 kPa applied throughout the test. The dimensions of the sample were 76 mm x 38 mm. Addional test data recorded at failure were: Load transducer force = 368 N 3 Measured change in volume = 2.42 x 10 m³ Axial deformation = 2.05 mm Determine the major principal stress, o, at failure. (455 kPa)arrow_forwardTriaxial tests performed on samples of aeolin sand. The failure conditions in terms of effective stress are (ov, 0h) = (515, 100), (1250, 200), (3500, 400), and (5325, 800) kPa. Using (s, t) space, determine the cohesion and friction angle. What is the orientation of the major principal stress with respect to the failure plane? Determine this graphically.arrow_forward
- A sand sample is subjected to direct shear testing. Two tests areperformed. For test 1, The sample shears at a stress of 2500 psf whenthe normal stress is 4000 psf.Test 2, The sample shears at a stress of 3500 psf when the normalstress is 6000 psf. Determine the following:a) Angle of Internal frictionb) Value of cohesionc) Compute the shear stress at a depth of 12 ft. if the unit weight ofthe soil is 150 pcfarrow_forward3. A consolidated undrained test on a normally consolidated clay yielded the following results: 7.2 psi Pore pressure: Chamber confining pressure: 15 psi 12 psi Calculate the consolidated-undrained friction angle and the drained friction angle. Deviator stress at failure:arrow_forwardplease answer it asap. thank you!!arrow_forward
- 7.12 A sand specimen was subjected to a drained shear test using hollow cylin- der test equipment. Failure was caused by increasing the inside pressure while keeping the outside pressure constant. At failure, o, = 193 kN/m² and o; = 264 kN/m². The inside and outside radii of the specimen were 40 and 60 mm, respectively. (a) Calculate the soil friction angle. (b) Calculate the axial stress on the specimen at failure.arrow_forwardA sand sample in a triaxial test have the following stresses: Cell Pressure 25kpa 34kpa Axial Stress 33kpa 55kpa Pore Water pressure 12kpa 10kpa a. Compute the drained angle of internal friction. b. Determine the cohesion of the soil c. Find the angle of failure in sheararrow_forwardA sample of saturated clay, taken from a depth of 5 m, was tested in a conventional oedometer. The table below gives the vertical effective stress and the corresponding thickness recorded during the test. The water content at the end of the test was 40% and the initial height was 20 mm.(a) Plot a graph of void ratio versus ??′(log scale).(b) Determine ?? and ??.(c) Determine ?? between ??′ = 400 kPa and ??′ = 500 kPa. (d) Determine ???′ using Casagrande’s method.arrow_forward
- A consolidated drained tri-axial test was conducted on a normally consolidated clay. The results were as follows: 03 = 300 kPa (confining pressure) Deviators stress = 300 kPa 0 Compute the angle of shearing resistance. Compute the angle that the failure plane makes with the major principal. stress. Compute the shear stress on the failure plane.arrow_forward1. A sand specimen is isotropically consolidated in a triaxial test apparatus under a cell pressure equal to 420 kPa and then sheared with the drainage valves open (i.e. CD test). At failure, the deviatoric stress is 1046 kPa. Determine the major and minor principal stresses at failure and the effective internal friction angle (assume c' = 0). Plot the Mohr diagram.arrow_forwardA consolidated-undrained triaxial test was conducted on a dense sand with a chamber-confining pressure of 20 lb/in?. Results showed that o' = 24° and o = 31°. Determine the deviator stress and the pore water pressure at failure.arrow_forward
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