Unlike empirical regime methods (Kennedy or Lacey), the Tractive Force Method designs non-scouring alluvial channels based on boundary shear stress physics. The average shear stress exerted by flowing water on the canal bed is given by $\tau_0 = \gamma_w \cdot R \cdot S$. For an unlined trapezoidal channel, the maximum shear stress on the bed is $\tau_{bed} = 0.97 \cdot \gamma_w \cdot y \cdot S,$ while on the sloping sides it is $\tau_{side} = 0.75 \cdot \gamma_w \cdot y \cdot S.$ To prevent soil particle detachment, the side shear stress ratio $K$ is limited by particle friction angle $\phi$ and side slope angle $\theta:$ $$K = \frac{\tau_{s, critical}}{\tau_{b, critical}}$$ $$= \cos\theta \cdot \sqrt{1 - \frac{\tan^2\theta}{\tan^2\phi}}$$ The allowable depth of flow $y$ is determined such that $\tau_{side} \le K \cdot \tau_{b, critical}.$ Earthen irrigation distribution channels across alluvial plains in Northern India frequently suffer from bank sloughing when designed purel...