GATE CE 2017 Set 2 — Question 35
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Geotechnical Engineering → Shear Strength of Soils → Stress Paths
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Question
Following are the statements related to the stress paths in a triaxial testing of soils:P. If , the stress point lies at the origin of the plot.
Q. If , the stress point lies on the -axis of the plot.
R. If , both the stress points and are positive.For the above statements, the correct combination is
Q. If , the stress point lies on the -axis of the plot.
R. If , both the stress points and are positive.For the above statements, the correct combination is
Correct answer
(A) P - False; Q - True; R - True
Solution
In a plot for triaxial testing, the coordinates are defined as:
and .Statement P: If , then and . The stress point is . This is the origin only if . In general, it is not the origin. So, P is False.Statement Q: If , then . Any point with lies on the horizontal -axis. So, Q is True.Statement R: If , then . Assuming compressive stresses are positive (standard in soil mechanics), . Thus, both and are positive. So, R is True.The correct combination is P - False; Q - True; R - True.
and .Statement P: If , then and . The stress point is . This is the origin only if . In general, it is not the origin. So, P is False.Statement Q: If , then . Any point with lies on the horizontal -axis. So, Q is True.Statement R: If , then . Assuming compressive stresses are positive (standard in soil mechanics), . Thus, both and are positive. So, R is True.The correct combination is P - False; Q - True; R - True.
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