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.

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter10: Shear Strength Of Soil
Section: Chapter Questions
Problem 10.12P
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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 mm? and
the normal load was 500 N, what would you expect the failure stress to have been?
Transcribed Image Text: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 mm? and the normal load was 500 N, what would you expect the failure stress to have been?
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