(a)
The value of principal stress
(a)

Answer to Problem 2.85P
The value of the principal stress
Explanation of Solution
Given:
Yield strength of the material is
Principal(normal) stress in x-direction is
Principal(normal) stress in y-direction is
Principal(normal) stress in z-direction is
Concept used:
Here
Write the Maximum distortion energy theory (Von mises Theory) as,
Here,
Calculation:
Substitute
Conclusion:
Thus the value ofthe principal stress
(b)
The value of principal stress
(b)

Answer to Problem 2.85P
The value of principal stress
Explanation of Solution
Given:
Yield strength of the material is
Principal stress in x-direction is
Principal stress in y-direction is
Principal stress in z-direction is
Concept used:
Here
Write the Maximum distortion energy theory (Von mises Theory) as;
Here,
Calculation:
Substitute
Conclusion:
Thus the value ofthe principal stress
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