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When two mutually perpendicular principal stresses are unequal but like, the maximum shear stress is represented by
  • a)
    The diameter of the Mohr’s circle
  • b)
    Half the diameter of the Mohr’s circle
  • c)
    One–third the diameter of the Mohr’s circle
  • d)
    One–fourth the diameter of the Mohr’s circle
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
When two mutually perpendicular principal stresses are unequal but l...
When two mutually perpendicular principal stresses are unequal but like, the maximum shear stress is represented by half the diameter of the Mohr’s circle.
Hence, the correct option is (B)
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When two mutually perpendicular principal stresses are unequal but l...
Explanation:

When two mutually perpendicular principal stresses are unequal, the maximum shear stress can be determined using Mohr's circle.

Mohr's Circle:
Mohr's circle is a graphical representation of the stress state at a point in a material. It is a useful tool for analyzing the stress components and determining the maximum shear stress.

Determining Maximum Shear Stress:
To determine the maximum shear stress using Mohr's circle, follow these steps:

1. Draw the circle:
- Draw a circle with a radius equal to half the difference between the two principal stresses.
- The center of the circle represents the average of the two principal stresses.

2. Plot the principal stresses:
- Mark the two principal stresses on the circle.
- The distance between the two points represents the difference between the two principal stresses.

3. Determine the maximum shear stress:
- Draw a line from the center of the circle to the point representing the lower principal stress.
- The point where the line intersects the circle represents the maximum shear stress.

Answer:
In the given question, when two mutually perpendicular principal stresses are unequal, the maximum shear stress is represented by half the diameter of the Mohr's circle.

Explanation:
- The diameter of the Mohr's circle represents the difference between the two principal stresses.
- Since the maximum shear stress occurs at the point where the line from the center of the circle intersects the circle, the distance between this point and the center (which is half the diameter) represents the maximum shear stress.

Hence, the correct answer is option 'B' - Half the diameter of the Mohr's circle.
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When two mutually perpendicular principal stresses are unequal but like, the maximum shear stress is represented bya)The diameter of the Mohr’s circleb)Half the diameter of the Mohr’s circlec)One–third the diameter of the Mohr’s circled)One–fourth the diameter of the Mohr’s circleCorrect answer is option 'B'. Can you explain this answer?
Question Description
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