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State the assumption made in theory of Torsion Or analysis of pure Torsion and define torsional rigidity. State the Torsional formula and explain the term involved in it.

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31kviews

State the assumption made in theory of Torsion Or analysis of pure Torsion and define torsional rigidity. State the Torsional formula and explain the term involved in it.

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written 4.9 years ago by |

**The assumptions made in the Theory of Pure Torsion or made in deriving the equation for pure torsion** are as follows:

- The material is homogeneous and isotropic
- Hook's law is obeyed by the material.
- The shaft is circular in section.
- The cross-section of the shaft remains uniform throughout.
- The shaft is subjected to pure torque only.
- The shaft is not subjected to any initial torque.
- The transverse sections which were plane before application of torque remain plane even after application of torque.

**Torsional Formula or Torque Twist Shear Stress or Equation of Pure Torsion:**

Where is Shear Stress (MPa), is the length of the solid shaft (mm), **r** is the radius of the shaft (mm), **T** is the torque or twisting moment (Nmm), **G** is the Modulus of rigidity (N/mm^2),
**θ** = angle of twist (radians), is the polar moment of inertia.

**Torsional Rigidity**:
It is defined as the torque that produces a twist of one radian in a shaft of unit length. It is represented by k or .
Hence **k=G=**

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