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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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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:
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
=