Calculate optimal channel dimensions for maximum hydraulic efficiency. Design channels with minimum excavation for a given discharge using rectangular, trapezoidal, or triangular sections.
| Shape | Optimal Proportions | R/y Ratio | Efficiency* |
|---|---|---|---|
| Semicircle | Theoretical optimum | 0.500 | 100% |
| Rectangular | b = 2y (width = 2 x depth) | 0.5 | ~95% |
| Trapezoidal | z = 0.577, b = 1.15y (half-hexagon) | 0.5 | ~97% |
| Triangular | z = 1.0 (45-degree sides) | 0.3536 | ~83% |
* Efficiency compared to semicircular section for same flow area
Select a channel shape and design approach to find optimal dimensions.
For educational purposes only. Not a substitute for professional engineering judgment.