When a hollow shaft is subjected to pure torsional moment (T), what will be the torsional shear stress (τ) induced at the outer surface of the shaft [where, do = External diameter of the shaft, di = Internal diameter of the shaft, x = \(\frac{{{d_i}}}{{{d_o}}}\)]

1
\(\tau = \frac{{32T}}{{\pi {d_o}^3\left( {1 - {x^4}} \right)}}\)
2
\(\tau = \frac{{16T}}{{\pi {d_o}^3\left( {1 - {x^3}} \right)}}\)
3
\(\tau = \frac{{32T}}{{\pi {d_o}^3\left( {1 - {x^3}} \right)}}\)
4
\(\tau = \frac{{16T}}{{\pi {d_o}^3\left( {1 - {x^4}} \right)}}\)
5
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