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Shear stress induced in a shaft subjected to tension will be
- a)minimum at the center
- b)maximum at center
- c)uniform throughout
- d)maximum at periphery and zero at center
Correct answer is option 'D'. Can you explain this answer?
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Shear stress induced in a shaft subjected to tension will bea)minimum ...
Shear Stress in a Shaft Subjected to Tension
When a shaft is subjected to tension, it experiences both axial and shear stresses. The axial stress is due to the tensile force acting on the shaft, while the shear stress is due to the shearing force resulting from the torque applied to the shaft. The distribution of shear stress in a shaft subjected to tension depends on the geometry of the shaft and the applied load.
Distribution of Shear Stress
The distribution of shear stress in a shaft subjected to tension is not uniform. It varies across the cross-section of the shaft and is maximum at the periphery and zero at the center. This is because the shear stress is caused by the torque acting on the shaft, which is maximum at the periphery and zero at the center.
Thus, option (a) is the correct answer.
Factors Affecting Shear Stress Distribution
The following factors affect the distribution of shear stress in a shaft subjected to tension:
1. Shaft Geometry: The geometry of the shaft, such as its diameter and cross-sectional shape, affects the distribution of shear stress in the shaft. A shaft with a larger diameter will experience a higher shear stress than a shaft with a smaller diameter.
2. Load Distribution: The distribution of the load, such as whether it is concentrated or distributed, affects the distribution of shear stress in the shaft. A concentrated load will produce a higher shear stress than a distributed load.
3. Material Properties: The properties of the material, such as its modulus of elasticity and shear modulus, affect the distribution of shear stress in the shaft. A material with a higher shear modulus will exhibit a higher shear stress than a material with a lower shear modulus.
Conclusion
In conclusion, when a shaft is subjected to tension, it experiences both axial and shear stresses. The distribution of shear stress in a shaft subjected to tension is not uniform and varies across the cross-section of the shaft. It is maximum at the periphery and zero at the center. The distribution of shear stress depends on various factors such as the geometry of the shaft, load distribution, and material properties.
When a shaft is subjected to tension, it experiences both axial and shear stresses. The axial stress is due to the tensile force acting on the shaft, while the shear stress is due to the shearing force resulting from the torque applied to the shaft. The distribution of shear stress in a shaft subjected to tension depends on the geometry of the shaft and the applied load.
Distribution of Shear Stress
The distribution of shear stress in a shaft subjected to tension is not uniform. It varies across the cross-section of the shaft and is maximum at the periphery and zero at the center. This is because the shear stress is caused by the torque acting on the shaft, which is maximum at the periphery and zero at the center.
Thus, option (a) is the correct answer.
Factors Affecting Shear Stress Distribution
The following factors affect the distribution of shear stress in a shaft subjected to tension:
1. Shaft Geometry: The geometry of the shaft, such as its diameter and cross-sectional shape, affects the distribution of shear stress in the shaft. A shaft with a larger diameter will experience a higher shear stress than a shaft with a smaller diameter.
2. Load Distribution: The distribution of the load, such as whether it is concentrated or distributed, affects the distribution of shear stress in the shaft. A concentrated load will produce a higher shear stress than a distributed load.
3. Material Properties: The properties of the material, such as its modulus of elasticity and shear modulus, affect the distribution of shear stress in the shaft. A material with a higher shear modulus will exhibit a higher shear stress than a material with a lower shear modulus.
Conclusion
In conclusion, when a shaft is subjected to tension, it experiences both axial and shear stresses. The distribution of shear stress in a shaft subjected to tension is not uniform and varies across the cross-section of the shaft. It is maximum at the periphery and zero at the center. The distribution of shear stress depends on various factors such as the geometry of the shaft, load distribution, and material properties.
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Shear stress induced in a shaft subjected to tension will bea)minimum at the centerb)maximum at centerc)uniform throughoutd)maximum at periphery and zero at centerCorrect answer is option 'D'. Can you explain this answer?
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