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An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress is
- a)decreased
- b)increased or decreased, depending on the external bending load
- c)neither decreased nor increased
- d)increased
Correct answer is option 'D'. Can you explain this answer?
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An axial residual compressive stress due to a manufacturing process is...
The presence of an axial residual compressive stress on the outer surface of a rotating shaft subjected to bending can have a significant effect on its fatigue life. In this scenario, the correct answer is option 'D', which states that the fatigue life of the shaft is increased.
Here's an explanation of why the fatigue life is increased:
1. Residual Compressive Stress:
When a rotating shaft is subjected to a manufacturing process, such as heat treatment or forging, it can result in the development of an axial residual compressive stress on the outer surface of the shaft. This compressive stress is beneficial because it counteracts the tensile stresses induced during bending.
2. Bending Load:
When a bending load is applied to the shaft, it causes both tensile and compressive stresses on different regions of the shaft. The presence of the residual compressive stress helps to offset the tensile stresses, reducing their magnitude and preventing crack initiation.
3. Crack Initiation:
Fatigue failure of a shaft occurs when cracks initiate and propagate under cyclic loading. The presence of tensile stresses is the primary cause of crack initiation. However, the residual compressive stress acts as a compressive force that opposes crack initiation and growth.
4. Increased Fatigue Life:
Due to the presence of the residual compressive stress, the tensile stresses induced during bending are reduced or neutralized. As a result, the fatigue life of the shaft is increased because the likelihood of crack initiation and propagation is minimized.
5. External Bending Load:
The answer option 'B' states that the fatigue life can be increased or decreased depending on the external bending load. This is because the magnitude of the bending load can influence the effectiveness of the residual compressive stress in counteracting the tensile stresses. If the external bending load is too high, it can overcome the beneficial effect of the residual compressive stress and decrease the fatigue life.
In conclusion, the presence of an axial residual compressive stress on the outer surface of a rotating shaft subjected to bending increases its fatigue life. This is because the residual compressive stress counteracts the tensile stresses induced during bending and reduces the likelihood of crack initiation and propagation. However, the effectiveness of the residual compressive stress can be influenced by the magnitude of the external bending load.
Here's an explanation of why the fatigue life is increased:
1. Residual Compressive Stress:
When a rotating shaft is subjected to a manufacturing process, such as heat treatment or forging, it can result in the development of an axial residual compressive stress on the outer surface of the shaft. This compressive stress is beneficial because it counteracts the tensile stresses induced during bending.
2. Bending Load:
When a bending load is applied to the shaft, it causes both tensile and compressive stresses on different regions of the shaft. The presence of the residual compressive stress helps to offset the tensile stresses, reducing their magnitude and preventing crack initiation.
3. Crack Initiation:
Fatigue failure of a shaft occurs when cracks initiate and propagate under cyclic loading. The presence of tensile stresses is the primary cause of crack initiation. However, the residual compressive stress acts as a compressive force that opposes crack initiation and growth.
4. Increased Fatigue Life:
Due to the presence of the residual compressive stress, the tensile stresses induced during bending are reduced or neutralized. As a result, the fatigue life of the shaft is increased because the likelihood of crack initiation and propagation is minimized.
5. External Bending Load:
The answer option 'B' states that the fatigue life can be increased or decreased depending on the external bending load. This is because the magnitude of the bending load can influence the effectiveness of the residual compressive stress in counteracting the tensile stresses. If the external bending load is too high, it can overcome the beneficial effect of the residual compressive stress and decrease the fatigue life.
In conclusion, the presence of an axial residual compressive stress on the outer surface of a rotating shaft subjected to bending increases its fatigue life. This is because the residual compressive stress counteracts the tensile stresses induced during bending and reduces the likelihood of crack initiation and propagation. However, the effectiveness of the residual compressive stress can be influenced by the magnitude of the external bending load.
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An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress isa)decreasedb)increased or decreased, depending on the external bending loadc)neither decreased nor increasedd)increasedCorrect answer is option 'D'. Can you explain this answer?
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An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress isa)decreasedb)increased or decreased, depending on the external bending loadc)neither decreased nor increasedd)increasedCorrect answer is option 'D'. 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 An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress isa)decreasedb)increased or decreased, depending on the external bending loadc)neither decreased nor increasedd)increasedCorrect answer is option 'D'. 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 An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress isa)decreasedb)increased or decreased, depending on the external bending loadc)neither decreased nor increasedd)increasedCorrect answer is option 'D'. Can you explain this answer?.
An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress isa)decreasedb)increased or decreased, depending on the external bending loadc)neither decreased nor increasedd)increasedCorrect answer is option 'D'. 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 An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress isa)decreasedb)increased or decreased, depending on the external bending loadc)neither decreased nor increasedd)increasedCorrect answer is option 'D'. 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 An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress isa)decreasedb)increased or decreased, depending on the external bending loadc)neither decreased nor increasedd)increasedCorrect answer is option 'D'. Can you explain this answer?.
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