In Case of Torsion Analysis of Shaft Why Do We Consider Applied Torque Equal to Resisting Torque Even If Shaft Is Rotating?
In the torsion analysis of a shaft, the applied torque and the resisting torque are considered equal even if the shaft is rotating. This is because the shaft is assumed to be in a state of equilibrium, in which the net torque acting on the shaft is zero.
The applied torque is the torque that is applied to the shaft by an external force or moment. The resisting torque is the torque that is generated by the shaft itself to resist the applied torque. In a rotating shaft, the resisting torque is due to the shear stresses that are induced in the shaft by the applied torque. These shear stresses cause the shaft to twist, and the amount of twist is proportional to the magnitude of the shear stresses.
The assumption that the applied torque is equal to the resisting torque is valid as long as the shaft is in a state of equilibrium. This means that the shaft is not accelerating or decelerating, and the angular velocity of the shaft is constant. If the shaft is accelerating or decelerating, then the applied torque and the resisting torque will not be equal.
The following are five frequently asked questions about the torsion analysis of shafts:
- What is the difference between applied torque and resisting torque?
- Why is the resisting torque equal to the applied torque in a rotating shaft?
- What is the relationship between shear stress and twist in a shaft?
- How can the torsion analysis of shafts be used to design shafts for specific applications?
- What are the limitations of the torsion analysis of shafts?
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