Question

A 60 mm dia. shaft is subjected to a torque of 6 kNm. $C=8\times {10}^{4}N/m{m}^2$. The maximum shear stress induced in the shaft in $N/m{m}^2$, is nearly

• A. $\frac{8000}{9\pi }$
• B. $\frac{4000}{9\pi }$
• C. $\frac{12000}{9\pi }$
• D. $\frac{16000}{9\pi }$

Answer 1

The correct option is B $\frac{4000}{9\pi }$


$C=8\times {10}^{4}N/m{m}^2$

$f_s=\frac{T}{J}R=\frac{6\times {10}^6}{\frac{\pi }{32}(60{)}^4}\times 30$


$=\frac{4\times 32\times 30\times {10}^6}{\pi \left(36\right)\left(36\right){10}^4}$

$=\frac{4000}{9\pi }N/m{m}^2$