Floating Home Gangway & Tide Geometry Simulator

Set the water level on a tidal datum and watch how vertical swings (y) translate non-linearly into horizontal wheel pullback (Δx) — until the barge grounds out in the mud.

x = √(L² - y²)  |  dx/dy = -tan(θ)
Remaining Deck Margin
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Horizontal Wheel Pullback (Δx)
-- Horizontal span x = -- ft
Instantaneous Ratio (dx / dy)
-- Ramp angle θ = --°
Cumulative Ratio (Δx / |y|)
-- Avg horizontal pullback per unit of tide
💡 Drag the deck ↕ for tide, ↔ for barge surge, or grab its outboard edge ↔ to resize. --

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Still-water tide reading on the chart datum (drag deck ↕)

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Fixed hypotenuse of the gangway

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Fixed elevation of the dock hinge above the bottom

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Tide reading where the bottom is reached — barge grounds at or below this

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Length of the barge deck (drag its outboard edge ↔)

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Deck distance from max reach (y = 0) to water's edge

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Mooring play: + drifts off dock, − toward dock (1:1). Drag deck ↔

Step-by-Step Tidal Pullback Table for 12.0 ft Ramp

Vertical Offset |y| Ramp Angle (θ) Horizontal Span (x) Cumulative Wheel Pullback (Δx) Instantaneous Ratio (tan θ) Cumulative Ratio (Δx / |y|) Deck Margin Left