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Assertion (A): Mohr's circle of stress can be related to Mohr's circle of strain by some constant of proportionality
Reason (R): The relationship is a function of yield stress of the material.
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is NOT the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'C'. Can you explain this answer?
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Assertion (A): Mohr's circle of stress can be related to Mohr'...
Assertion and Reasoning

Assertion (A): Mohrs circle of stress can be related to Mohrs circle of strain by some constant of proportionality.

Reasoning (R): The relationship is a function of yield stress of the material.

Explanation

Mohr's circle is a graphical representation of the state of stress at a particular point in a material. It is a useful tool to understand the nature and magnitude of stresses acting on a material. Similarly, Mohr's circle of strain is a graphical representation of the state of strain at a particular point in a material.

Assertion (A) states that there exists a constant of proportionality between Mohr's circle of stress and Mohr's circle of strain. This statement is true since stress and strain are related by the elastic modulus, which is a constant of proportionality.

However, the Reason (R) for this assertion is incorrect. The relationship between Mohr's circle of stress and Mohr's circle of strain is not a function of the yield stress of the material. Yield stress is the stress at which a material starts to deform plastically. It is not related to the elastic properties of the material, which are used to relate stress and strain.

Therefore, option (C) is the correct answer: A is true, but R is false.
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Assertion (A): Mohr's circle of stress can be related to Mohr's circle of strain by some constant of proportionalityReason (R): The relationship is a function of yield stress of the material.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?
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Assertion (A): Mohr's circle of stress can be related to Mohr's circle of strain by some constant of proportionalityReason (R): The relationship is a function of yield stress of the material.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Assertion (A): Mohr's circle of stress can be related to Mohr's circle of strain by some constant of proportionalityReason (R): The relationship is a function of yield stress of the material.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): Mohr's circle of stress can be related to Mohr's circle of strain by some constant of proportionalityReason (R): The relationship is a function of yield stress of the material.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?.
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