The angle of twist in the shaft due to torsion is computed with the formula:

$\mathrm{\varphi }=\frac{\mathrm{TL}}{\mathrm{JG}}$

The torque $\mathrm{T}$ that produces the limiting $1^{\circ }$ twist angle is therefore:

$\mathrm{T}=\frac{\mathrm{JG\varphi }}{\mathrm{L}}$

$$\begin{gathered} =\frac{(1,353,830.1 {\mathrm{mm}}^4)(75,000 \mathrm{N}/{\mathrm{mm}}^2)\left(1^{\circ }\right)(2\mathrm{\pi } \mathrm{rad}/{360}^{\circ })}{2,000 \mathrm{mm}} \\ =886,079.7 \mathrm{N}-\mathrm{mm} \end{gathered}$$