Ogee Spillway Design.xls [ Verified ]

| Parameter | Value | Unit | Formula | |-----------|-------|------|---------| | Design Head ( H_d ) | 3.50 | m | Input | | Crest Length ( L ) | 50.0 | m | Input | | Discharge Coefficient at ( H_d ) | 2.20 | - | USBR Plate 1 | | Maximum Head ( H_max ) (PMF) | 4.55 | m | Reservoir routing | | ( H_max / H_d ) | 1.30 | - | Calculation | | Correction factor ( C/C_d ) | 0.98 | - | Table lookup | | Actual ( C ) at ( H_max ) | 2.156 | - | ( =0.98 \times 2.20 ) | | Peak Discharge ( Q_p ) | 1125 | m³/s | ( =2.156 \times 50 \times 4.55^1.5 ) | | Pressure at crest (min) | -8.2 | m of water | EM 1110-2-1603 | | Cavitation risk | Low | - | if > -10m, safe | | Stability Factor of Safety (sliding) | 1.82 | - | ( =0.7\times 12,500 / 4800) |

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The spreadsheet references a ( C/C_d ) vs. ( H/H_d ) table. For ( H/H_d = 1.0 ), ( C = C_d ) (say 2.2 in SI). Discharge ( Q = 2.2 \times 50 \times (3.5)^1.5 = 2.2 \times 50 \times 6.55 \approx 720 ) m³/s. For H/H_d = 1.3, C reduces to 2.1, giving Q ≈ 1015 m³/s. This confirms the spillway passes the PMF without overtopping the dam. | Parameter | Value | Unit | Formula

In the world of dam engineering, few structures are as critical—or as mathematically elegant—as the . Named for its distinctive S-shaped curve that mimics the profile of a falling nappe (water jet) over a sharp-crested weir, the Ogee spillway is the gold standard for gravity dam overflow sections. However, designing one requires solving complex hydraulic equations, iterating over discharge coefficients, and checking multiple failure modes. This is not just cooking; it is a