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 10.12P
To determine
Find the friction angle of the sand.
Find the deviator stress at failure.
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Friction angle of dry sand is 35°. In a direct shear test on this sand, a normal stress of
150kPa was applied. What shear stress will cause the failure?
(a) 150kPa
(b) 50kPa
(c) 78kPa
(d) 105kPa
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 pcf
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
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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- A sand sample is subjected to direct shear testing at it's (in - situ) water content. Two tests are performed. For one of the tests, the sample shears at a stress of 400 kPa when the normal stress is 600 kPa. From these data,Determine the value of the apparent cohesion. Determine the corresponding angle of internal friction.arrow_forward(a) A dry sand sample is tested in direct shear. The test procedure includes having a normal (compressive) stress of 200 kPa imposed while the sample undergoes shearing. The sample fails when the shear stress reaches 135 kPa. From this data, determine the angle of internal friction f for the soil.(b) A second sample of the same sand is also to be tested in direct shear, but the applied normal (compressive) stress will be 145 kPa. What shear stress is expected to cause the sample to fail?arrow_forwardA CU triaxial compression test was performed on saturated sand at a cell pressure of 100 kPa. The ultimate deviator stress was 350 kPa and the pore pressure at the peak stress was 40 kPa (suction). Estimate the total and effective stress shear strength parameters.arrow_forward
- A triaxial shear test was performed on a well-drained sand sample. The normal stress on the failure plane and the shearing stress on the failure plane were determined to be 75kPa and 42kPa, respectively. Determine the angle of internal friction of the sand, in degrees.Determine the axial stress applied to the specimen, in kPa.arrow_forward3. In a drained tri-axial test, a specimen is confined under pressure and axially loaded until failure. The failure conditions of the specimen are analyzed for shear strength. What is the value of the minor principle stress? Half the value of the major principle stress Twice the value of the major principle stress . The same as the confining pressure The same as the cohesion value ● ● ●arrow_forward4- In a consolidated-drained triaxial test on a clay, the specimen failed at a deviator stress of 2,590 lb/ft². If the effective stress friction angle is known to be 29°, what was the effective confining pressure at failure?arrow_forward
- An undisturbed soil sample, 110 mm in diameter and 220 mm in height, was tested in a triaxial machine. The sample sheared under an additional axial load of 3.35 kN with a vertical deformation of 21 mm. The failure plane was inclined at 50˚ to the horizontal and the cell pressure was 300 kN/m2. i. Draw the Mohr circle diagram representing the above stress conditions, and from it determine: − Coulomb’s equation for the shear strength of the soil, in terms of total stress; − the magnitude and obliquity of the resultant stress on the failure planearrow_forwardAfter conducting a tri-axial test on a sand sample, the normal and shearing stress on the failure plane at failure was found to be 475kPa and 350kPa, respectively. Which of the following most nearly gives the plunger stress?arrow_forwardA consolidated drained (CD) triaxial test was carried out on a normally consolidated clay. The specimen was consolidated under a cell pressure of 100 kPa and back pressure of 30 kPa. The axial deviatoric stress was increased very slowly to failure, so that there was no excess pore water pressure developed during the shearing. The specimen failed under a deviatoric stress of 130 kPa. The back pressure of 30 kPa was maintained throughout the test. (i) What is the friction angle in terms of effective stresses? (ii) What are the shear stress and normal stress acting on the failure plane? Solution fast pleasearrow_forward
- A triaxial compression test was conducted on a saturated soil sample to determine its shear strength parameters: effective cohesion (C') and effective friction angle (O'). The confining pressure used during the test was 30 psi. The deviator stress on the sample at the time of failure was 40 psi. The porewater pressure measured at the time of failure was 5 psi a) The figure below shows the stress conditions on the sample at the time of failure. Provide the values of total stresses, o1 and oz on the sample. Total horizontal stress, o3 (psi) = (Report to the nearest whole number, i.e. no decimals) Total vertical stress, o1 (psi) (Report to the nearest whole number, i.e. no decimals) %3D b) The figure below shows the effective stress Mohr's Circle for the above soil sample at failure. What are the values of effective normal stresses at points A and B?arrow_forwardA direct shear test was conducted on dry sand with an area of the specimen = 2 in. x 2 in. The results were Graph the shear stress at failure against normal stress and determine the soil friction angle, Φ'.arrow_forwardc. An undisturbed soil sample, 110 mm in diameter and 220 mm in height, was tested in a triaxial machine. The sample sheared under an additional axial load of 3.35 kN with a vertical deformation of 21 mm. The failure plane was inclined at 50° to the horizontal and the cell pressure was 300 kN/m². i. Draw the Mohr circle diagram representing the above stress conditions, and from it determine: - Coulomb's equation for the shear strength of the soil, in terms of total stress; - the magnitude and obliquity of the resultant stress on the failure plane. ii. A further undisturbed sample of the soil was tested in a shear box under the same drainage conditions as used for the previous test. If the area of the box was 3600 mm² and the normal load was 500 N, what would you expect the failure stress to have been?arrow_forward
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