When the two principal stresses are equal and like, the resultant stress on any plane is :
Answers
Answer:
When the two principal stresses are equal and like, the resultant stress on any plane is zero.
Correct question:
When the two principal stresses are equal and like, the resultant stress on any plane is
(a) Equal to the principal stress
(b) zero
(c) one half the principal stress
(d) one-third of the principal stress
When the two principal stresses are equal and like, the resultant stress on any plane is (b) zero.
(b) zero:
The largest value of normal stress acting on one of the principal planes where shear stress is zero is known as maximum principal stress or major principal stress.
Explanation for incorrect answer:
(a) Equal to the principal stress:
When the highest primary stress equals the yield point stress as determined by a simple tensile test. So this is the wrong answer.
(c) one half the principal stress:
The maximum shear stress is equal to one-half of the difference between the biggest and smallest principal stresses, and it acts on the plane that bisects the angle formed by the largest and smallest principal stresses. So this is the wrong answer.
(d) one-third of the principal stress:
There is a convention for listing the three main stresses that make the first one the greatest and the third one the smallest, which can be the greatest compressive (negative) stress but could also be positive stress. So this is the wrong answer.
As a result, the resultant stress on any plane is zero when the two major stresses are equal and similar.
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