A point in the ground has a total vertical (normal) stress (σv) of 200 kPa, a total horizontal (normal) stress (σ%) of 120 kPa, a horizontal shear stress (txy) of 0 kPa, and a pore water pressure (u.) of 40 kPa. (a) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees clockwise from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign convention. (b) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees counterclockwise from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign convention. (c) Determine the maximum shear stress and the orientation of the planes on which it acts.

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter10: Stresses In A Soil Mass
Section: Chapter Questions
Problem 10.1CTP: EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on...
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A point in the ground has a total vertical (normal) stress (v) of 200 kPa, a total horizontal (normal) stress (x) of 120
kPa, a horizontal shear stress (xy) of 0 kPa, and a pore water pressure (uo) of 40 kPa.
(a) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees clockwise from
horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign
convention.
(b) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees counterclockwise
from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign
convention.
(c) Determine the maximum shear stress and the orientation of the planes on which it acts

A point in the ground has a total vertical (normal) stress (σv) of 200 kPa, a total horizontal (normal) stress (σ%) of 120
kPa, a horizontal shear stress (txy) of 0 kPa, and a pore water pressure (u.) of 40 kPa.
(a) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees clockwise from
horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign
convention.
(b) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees counterclockwise
from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign
convention.
(c) Determine the maximum shear stress and the orientation of the planes on which it acts.
Transcribed Image Text:A point in the ground has a total vertical (normal) stress (σv) of 200 kPa, a total horizontal (normal) stress (σ%) of 120 kPa, a horizontal shear stress (txy) of 0 kPa, and a pore water pressure (u.) of 40 kPa. (a) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees clockwise from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign convention. (b) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees counterclockwise from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign convention. (c) Determine the maximum shear stress and the orientation of the planes on which it acts.
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