Question

A solid circular shaft is subjected to a torque T(in Nm), which produces a maximum shear stress of $f_s\left(inN/m{m}^2\right)$ in the shaft. The required diameter of the shaft would be

• A. $10{\left(\frac{16T}{\pi f_s}\right)}^{1/3}$
• B. $10{\left(\frac{\pi f_s}{16T}\right)}^{1/3}$
• C. $10{\left(\frac{16T}{\pi f_s}\right)}^{1/2}$
• D. $10{\left(\frac{\pi f_s}{16T}\right)}^{1/2}$

Answer 1

The correct option is A $10{\left(\frac{16T}{\pi f_s}\right)}^{1/3}$

$f_s=\frac{16}{\pi d^3}(T\times {10}^3)$

$\therefore d=10{\left(\frac{16T}{\pi f_s}\right)}^{1/3}$