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What are the assumption made in deriving the torsional formulas?

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The torsion equation is based on the following assumptions: 

1. The material of the shaft is uniform throughout. 

2. The shaft circular in section remains circular after loading. 

3. A plane section of shaft normal to its axis before loading remains plane after the torques have been applied. 

4. The twist along the length of shaft is uniform throughout. 

5. The distance between any two normal cross-sections remains the same after the application of torque. 

6. Maximum shear stress induced in the shaft due to application of torque does not exceed its elastic limit value.

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