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Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?
- a)Axial stiffness is less than bending stiffness
- b)Absence of centrifugal effects in the rod
- c)The number of discontinuities vulnerable to fatigue is more in the rod
- d)At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Fatigue strength of a rod subjected to cyclic axial force is less tha...
In case of axial load, the stress distribution will be uniform and every point in the rod will be subjected to same stress. But in case of bending stress (due to lateral force) every point is not subjected to same stress, as the bending stress distribution is linear.
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Fatigue strength of a rod subjected to cyclic axial force is less tha...
Introduction:
The fatigue strength of a material refers to its ability to withstand repeated loading and unloading under cyclic stresses without failure. In this case, we are comparing the fatigue strength of a rod subjected to cyclic axial force with a rotating beam of the same dimensions subjected to steady lateral force.
Reason:
The reason why the fatigue strength of the rod is less than that of the rotating beam is that the number of discontinuities vulnerable to fatigue is more in the rod compared to the beam.
Explanation:
Axial stiffness vs bending stiffness:
- Option 'a' states that axial stiffness is less than bending stiffness. However, this is not the main reason for the difference in fatigue strength between the rod and the beam.
- Axial stiffness refers to the ability of a material to resist deformation under an axial force, while bending stiffness is the ability to resist deformation under a bending moment.
- In this case, both the rod and the beam are subjected to axial forces, so the comparison of axial stiffness and bending stiffness is not relevant.
Absence of centrifugal effects:
- Option 'b' suggests that the absence of centrifugal effects in the rod is the reason for its lower fatigue strength compared to the beam.
- Centrifugal effects occur in rotating bodies due to the outward force experienced by the material.
- However, the absence of centrifugal effects in the rod does not significantly affect its fatigue strength compared to the beam.
Number of discontinuities:
- Option 'c' states that the number of discontinuities vulnerable to fatigue is more in the rod compared to the beam, and this is the correct reason for the difference in fatigue strength.
- Discontinuities such as notches, grooves, or surface defects act as stress concentrators, leading to higher stress concentrations and increased susceptibility to fatigue failure.
- In the case of the rod, the presence of threads, sharp corners, or surface imperfections can create more discontinuities compared to the beam.
- These discontinuities serve as potential sites for crack initiation and propagation, leading to lower fatigue strength in the rod.
Type of stress:
- Option 'd' suggests that the presence of both tensile and compressive stresses in the beam compared to only one type of stress (axial) in the rod is the reason for the difference in fatigue strength.
- While it is true that alternating stresses (tensile and compressive) can contribute to fatigue failure, this is not the main reason for the difference in fatigue strength.
- In both the rod and the beam, the cyclic loading induces alternating stresses, but the higher number of discontinuities in the rod is the primary factor affecting its fatigue strength.
Conclusion:
In conclusion, the fatigue strength of a rod subjected to cyclic axial force is lower than that of a rotating beam of the same dimensions subjected to steady lateral force because the rod has a higher number of discontinuities vulnerable to fatigue. These discontinuities act as stress concentrators and increase the likelihood of crack initiation and propagation, leading to lower fatigue strength.
The fatigue strength of a material refers to its ability to withstand repeated loading and unloading under cyclic stresses without failure. In this case, we are comparing the fatigue strength of a rod subjected to cyclic axial force with a rotating beam of the same dimensions subjected to steady lateral force.
Reason:
The reason why the fatigue strength of the rod is less than that of the rotating beam is that the number of discontinuities vulnerable to fatigue is more in the rod compared to the beam.
Explanation:
Axial stiffness vs bending stiffness:
- Option 'a' states that axial stiffness is less than bending stiffness. However, this is not the main reason for the difference in fatigue strength between the rod and the beam.
- Axial stiffness refers to the ability of a material to resist deformation under an axial force, while bending stiffness is the ability to resist deformation under a bending moment.
- In this case, both the rod and the beam are subjected to axial forces, so the comparison of axial stiffness and bending stiffness is not relevant.
Absence of centrifugal effects:
- Option 'b' suggests that the absence of centrifugal effects in the rod is the reason for its lower fatigue strength compared to the beam.
- Centrifugal effects occur in rotating bodies due to the outward force experienced by the material.
- However, the absence of centrifugal effects in the rod does not significantly affect its fatigue strength compared to the beam.
Number of discontinuities:
- Option 'c' states that the number of discontinuities vulnerable to fatigue is more in the rod compared to the beam, and this is the correct reason for the difference in fatigue strength.
- Discontinuities such as notches, grooves, or surface defects act as stress concentrators, leading to higher stress concentrations and increased susceptibility to fatigue failure.
- In the case of the rod, the presence of threads, sharp corners, or surface imperfections can create more discontinuities compared to the beam.
- These discontinuities serve as potential sites for crack initiation and propagation, leading to lower fatigue strength in the rod.
Type of stress:
- Option 'd' suggests that the presence of both tensile and compressive stresses in the beam compared to only one type of stress (axial) in the rod is the reason for the difference in fatigue strength.
- While it is true that alternating stresses (tensile and compressive) can contribute to fatigue failure, this is not the main reason for the difference in fatigue strength.
- In both the rod and the beam, the cyclic loading induces alternating stresses, but the higher number of discontinuities in the rod is the primary factor affecting its fatigue strength.
Conclusion:
In conclusion, the fatigue strength of a rod subjected to cyclic axial force is lower than that of a rotating beam of the same dimensions subjected to steady lateral force because the rod has a higher number of discontinuities vulnerable to fatigue. These discontinuities act as stress concentrators and increase the likelihood of crack initiation and propagation, leading to lower fatigue strength.
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Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct answer is option 'C'. Can you explain this answer?
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Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct 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 Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct 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 Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct answer is option 'C'. Can you explain this answer?.
Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct 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 Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct 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 Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Fatigue strength of a rod subjected to cyclic axial force is less than that of a rotating beam of the same dimensions subjected to steady lateral force. What is the reason?a) Axial stiffness is less than bending stiffnessb) Absence of centrifugal effects in the rodc) The number of discontinuities vulnerable to fatigue is more in the rodd) At a particular time, the rod has only one type of stress whereas the beam has both tensile and compressive stresses.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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