Question Statement:
A shear bolt of diameter $d = 8.0\text{ mm}$ (shear area $A = \frac{\pi}{4}(0.008)^2 \approx 5.0265 \times 10^{-5}\text{ m}^2$) is placed at radius $R = 0.05\text{ m}$ from the PTO shaft centerline. If the bolt material has ultimate shear strength $\tau = 300\text{ MPa}$ ($3.0 \times 10^8\text{ N/m}^2$), ultimate shear force is $F = \tau A = 3.0 \times 10^8 \times 5.0265 \times 10^{-5} = 15,080\text{ N}$. The maximum torque before shearing $T = F \cdot R$ in $\text{N}\cdot\text{m}$ is (rounded off to nearest integer):