
Concept explainers
(a)
Calculate the maximum and minimum principal stresses.
(a)

Answer to Problem 10.1P
The maximum principal stress
The minimum principal stress
Explanation of Solution
Given information:
The normal stress along x axis
The normal stress along y axis
The shear stress along xy axis
Calculation:
Find the horizontal angle as follows:
Calculate the maximum principal stress
Substitute
Hence, the maximum principal stress
Calculate the minimum principal stress
Substitute
Hence, the minimum principal stress
(b)
Calculate the normal and shear stresses on plane AB.
(b)

Answer to Problem 10.1P
The normal stress on plane AB
The shear stress on plane AB
Explanation of Solution
Given information:
The normal stress along x axis
The normal stress along y axis
The shear stress along xy axis
The angle
Calculation:
Calculate the normal stress
Substitute
Hence, the normal stress on plane AB
Calculate the shear stress
Substitute
Therefore, the shear stress on plane AB
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Chapter 10 Solutions
EBK PRINCIPLES OF GEOTECHNICAL ENGINEER
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