Question

Which of the following terms represents the torque corresponding to a twist of one radian in a shaft over its unit length?

• A. Torsional stress
• B. Torsional rigidity
• C. Flexural rigidity
• D. Moment of resistance

Answer 1

The correct option is B Torsional rigidity

For torsion formula

$\frac{\tau }{r}=\frac{T}{J}=\frac{G\theta }{L}$

$\Rightarrow T=\frac{GJ\theta }{L}$

Twist of 1 radian implies $\theta =1$ and unit length implies L = 1

$\Rightarrow T=GJ$

T = Torsional rigidity represents torque corresponding to twist of one radian in a shaft over its unit length.