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 10.4P
To determine
Find the required shear force to cause failure of the specimen.
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Assume that both a triaxial shear test and a direct shear test are to be performed on a sample of dry
sand. When the triaxial shear test is performed, the specimen fails when the major and minor principal
stresses are 80 and 20 lb/in.2, respectively. When the direct shear test is performed, what shear
strength can be expected if the normal stress is 4000 lb/ft2?
Assume that both a triaxial shear test and a direct shear test are to be performed on a sample of dry sand. When the triaxial shear test is performed, the specimen fails when the major and minor principal stresses are 80 and 20 lbs/in^2, respectively. When the direct shear test is performed, what shear strength can be expected if the normal stress is 4000 lbs/ft^2? Show all work.
For a dry sand specimen in a direct shear test box, the following are given:
• Angle of friction: 38°
• Size of specimen: 2 in. X 2 in. X 1.2 in. (height)
• Normal stress: 20 lb/in.?
Determine the shear force required to cause failure.
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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- 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) 105kPaarrow_forward20. A cohesionless sand sample was subjected to a triaxial shear test. Failure occurred when the normal stress is 400 KPa and the shear stress is 250 KPa. a. What is major principal stress? b. What is the minor principal stressarrow_forwardA direct shear test is performed on a specimen of dry sand. The shear box is circular in cross-section with a diameter of 50 mm. The normal force imposed on the specimen is 250 N. Then shears when the shear force is 150 N. Determine the angle of internal friction of this sand.arrow_forward
- Can TRIAXIAL TESTS be performed on sand samples? Briefly explain. The results of an undrained triaxial test on a clay soil sample are given in table below Cell Pressure (kN/m2) 200 400 600 Additional Axial Load at Failure (N) 342 388 465 Each sample, originally 76mm long and 38mm in diameter, experienced a vertical deformation of 5.1mm. Evaluate the stress at failure for each cell pressure given in table above. Draw Mohr Circles and determine the shear strength parameters of the soil.arrow_forwardA direct shear test was conducted on a specimen of dry sand with a normal stress of 200 kN/m2. Failure occurred at a shear stress of 175 kN/m2. The size of the specimen testedwas 75 mm × 75 mm × 30 mm (height). Determine the angle of friction, . For a normal stress of 150 kN/m2, what shear force would be required to cause failure of the specimen?arrow_forwardA specimen of rock was subjected to a compressive force of (10 kN) which tends an axial deformation was equal to (0.01 mm) and lateral deformation was of (0.001 mm). If the sample dimensions (length 80 mm and diameter 40 mm), find: Axial strain, Lateral strain, Volumetric strain, Young's Modulus (kN/m²), Bulk Modulus (kN/m) and Shear Modulus (kN/m2).arrow_forward
- In a triaxial tests carried out on a sand sample with cell pressure 20 kPa, the observed value of applied stress at the point of failure is 4 kPa. The angle of internal friction on the soil is? mmmmmarrow_forwardA sand sample is subjected to direct shear testing at its normal (in situ) water content. Two tests are performed. For one of the tests, the sample shears at a stress of 3,000 psf when the normal stress is 4,000 psf. In the second test, the sample shears at a stress of 4,000 psf when the normal stress is 6,000 psf. From these data, determine the value of apparent cohesion and the corresponding angle of internal friction.arrow_forwardA 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
- In a direct shear test on a specimen of cohesionless soil (sand), the vertical normal stress on the specimen is 210 kPa and the horizontal shear stress at failure is 135 kPa. You may assume the uniform stress distribution within the failure zone. a) determine the magnitude and direction of the principal stresses at failure using a Mohr's circle b) briefly explain whether it's possible to determine the magnitude and direction of the principal stresses when the material is not failed.arrow_forwardHomeworkarrow_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_forward
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