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A rotating shaft carrying a unidirectional transverse load is subjected to :
- a)Variable bending stress
- b)Variable shear stress
- c)Constant bending stress
- d)Constant shear stress
Correct answer is option 'A'. Can you explain this answer?
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A rotating shaft carrying a unidirectional transverse load is subjecte...
Understanding the Problem
A rotating shaft subjected to a unidirectional transverse load experiences different types of stresses. In this scenario, we need to analyze why the correct answer is variable bending stress.
Nature of the Load
- A unidirectional transverse load refers to a force applied perpendicular to the axis of the shaft.
- This type of load induces bending moments along the length of the shaft, leading to bending stresses.
Variable Bending Stress
- As the shaft rotates, the position of the load relative to the shaft changes, causing the bending moment to fluctuate.
- The bending stress is calculated based on the moment at a given section of the shaft, which varies with the rotation angle.
- Therefore, the bending stress is not constant; it changes as the shaft rotates under the influence of the transverse load.
Constant vs. Variable Stresses
- Constant Bending Stress (option c) would imply that the load is either static or uniformly distributed, which is not the case here.
- Variable Shear Stress (option b) might occur due to the transverse load, but the primary concern in this scenario is the bending stress induced by the load.
- Constant Shear Stress (option d) is not applicable since the shear force also fluctuates with the load's position.
Conclusion
In summary, a rotating shaft with a unidirectional transverse load is subjected to variable bending stress due to the changing bending moment along its length as it rotates. This fluctuation in stress is why option ‘A’ is the correct choice. Understanding these stress distributions is crucial for the design and analysis of mechanical components.
A rotating shaft subjected to a unidirectional transverse load experiences different types of stresses. In this scenario, we need to analyze why the correct answer is variable bending stress.
Nature of the Load
- A unidirectional transverse load refers to a force applied perpendicular to the axis of the shaft.
- This type of load induces bending moments along the length of the shaft, leading to bending stresses.
Variable Bending Stress
- As the shaft rotates, the position of the load relative to the shaft changes, causing the bending moment to fluctuate.
- The bending stress is calculated based on the moment at a given section of the shaft, which varies with the rotation angle.
- Therefore, the bending stress is not constant; it changes as the shaft rotates under the influence of the transverse load.
Constant vs. Variable Stresses
- Constant Bending Stress (option c) would imply that the load is either static or uniformly distributed, which is not the case here.
- Variable Shear Stress (option b) might occur due to the transverse load, but the primary concern in this scenario is the bending stress induced by the load.
- Constant Shear Stress (option d) is not applicable since the shear force also fluctuates with the load's position.
Conclusion
In summary, a rotating shaft with a unidirectional transverse load is subjected to variable bending stress due to the changing bending moment along its length as it rotates. This fluctuation in stress is why option ‘A’ is the correct choice. Understanding these stress distributions is crucial for the design and analysis of mechanical components.
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A rotating shaft carrying a unidirectional transverse load is subjected to :a)Variable bending stressb)Variable shear stressc)Constant bending stressd)Constant shear stressCorrect answer is option 'A'. Can you explain this answer?
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