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Hydropower Spillway Radial (Tainter) Gate
Verification of skin plate hydrostatic bending, radial strut arm column buckling, and trunnion pin reactions for a 14 m dam radial gate.
Hydropower radial (Tainter) gates hold massive heads of reservoir water and must reliably open during extreme flood discharges without jamming or structural instability. The curved cylindrical skin plate transfers hundreds of tons of hydrostatic thrust through horizontal arc girders into convergent radial inclined arms that act as heavy compression struts. WebCAE verifies skin plate deflection, transverse rib bending, radial leg buckling under eccentric thrust, and trunnion pin reaction forces.
1. Geometry & FEA Mesh
- •Cylindrical curved skin plate: span width B = 14.0 m, radius R = 12.0 m, arc range -35° to +18° (height ~10.6 m, t = 18 mm)
- •Framing system: 29 vertical tee ribs, 3 horizontal curved box/I-beam girders, and two spatial inclined radial arm assemblies
- •Convergent box-section radial strut arms (y = ±5.0 m) with tubular K-braces connecting to pivot trunnions at z = 7.0 m
- •Mesh composed of 448 MITC4 quadrilateral shell elements and 452 Timoshenko beam elements (3,172 DOFs)
2. Loads & Boundary Conditions
- •Pinned cylindrical trunnion supports at both pivot hinges (x = 0, y = ±5.0 m, z = 7.0 m) allowing rotation about horizontal Y axis
- •Triangular hydrostatic water pressure distribution (head H = 10.0 m) generating total resultant horizontal water thrust of 6.7 MN (~670 tons)
- •Symmetric cable hoist lifting forces applied to lateral arm lugs combined with full gate self-weight
3. Simulation Results & Findings
- ✓Critical buckling factor λ₁ = 22.97 provides robust structural safety margin for the spatial radial compression legs
- ✓Fundamental natural vibration frequency f₁ = 5.489 Hz prevents flow-induced hydroelastic resonance under high-velocity spillway discharge
- ✓Skin plate maximum deflections remain within 1.8 mm, preventing leakage past side rubber seals
Hydraulic engineering design firms utilize WebCAE to perform comprehensive gate strength and stability assessments in minutes. The seamless integration of MITC4 shell patches with spatial beam frames guarantees rapid compliance with dam safety regulations and eliminates radial strut buckling hazards.
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