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Assertion (A): Soderberg relation is used for design against fatigue.
Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 'A'. Can you explain this answer?
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Assertion (A): Soderberg relation is used for design against fatigue. ...
Soderberg Relation for Design Against Fatigue
Assertion (A): Soderberg relation is used for design against fatigue.
Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength of the material.
Explanation:
Soderberg relation is a method used for the design against fatigue failure. It is based on the yield strength of the material. This relation is used to determine the allowable stress range for a given number of cycles of loading. The allowable stress range is determined by dividing the yield strength by a factor of safety and a factor of influence. Soderberg relation is used when the mean stress is non-zero.
The reason for using the yield strength in Soderberg relation is that fatigue failure occurs due to cyclic loading, which causes the material to undergo plastic deformation. The plastic deformation occurs when the maximum stress exceeds the yield strength of the material. Therefore, it is important to consider the yield strength in the design against fatigue failure.
On the other hand, all other failure relations for dynamic loading, such as Goodman relation and Gerber relation, are based on the ultimate strength of the material. The ultimate strength is the maximum stress that the material can withstand before failure. These relations are used to determine the allowable stress range for a given number of cycles of loading when the mean stress is zero.
Conclusion:
Hence, both the assertion and the reason are individually true, and the reason is the correct explanation of the assertion.
Assertion (A): Soderberg relation is used for design against fatigue.
Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength of the material.
Explanation:
Soderberg relation is a method used for the design against fatigue failure. It is based on the yield strength of the material. This relation is used to determine the allowable stress range for a given number of cycles of loading. The allowable stress range is determined by dividing the yield strength by a factor of safety and a factor of influence. Soderberg relation is used when the mean stress is non-zero.
The reason for using the yield strength in Soderberg relation is that fatigue failure occurs due to cyclic loading, which causes the material to undergo plastic deformation. The plastic deformation occurs when the maximum stress exceeds the yield strength of the material. Therefore, it is important to consider the yield strength in the design against fatigue failure.
On the other hand, all other failure relations for dynamic loading, such as Goodman relation and Gerber relation, are based on the ultimate strength of the material. The ultimate strength is the maximum stress that the material can withstand before failure. These relations are used to determine the allowable stress range for a given number of cycles of loading when the mean stress is zero.
Conclusion:
Hence, both the assertion and the reason are individually true, and the reason is the correct explanation of the assertion.
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Assertion (A): Soderberg relation is used for design against fatigue. Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 A c)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?
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Assertion (A): Soderberg relation is used for design against fatigue. Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 A c)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. 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): Soderberg relation is used for design against fatigue. Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 A c)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. 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): Soderberg relation is used for design against fatigue. Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 A c)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
Assertion (A): Soderberg relation is used for design against fatigue. Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 A c)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. 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): Soderberg relation is used for design against fatigue. Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 A c)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. 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): Soderberg relation is used for design against fatigue. Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 A c)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Assertion (A): Soderberg relation is used for design against fatigue. Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 A c)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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ample number of questions to practice Assertion (A): Soderberg relation is used for design against fatigue. Reason (R): Soderberg relation is based on yield strength of the material whereas all other failure relations for dynamic loading are based on ultimate strength 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 A c)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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