Ship Squat Calculator

Estimate ship squat in shallow water using the Barrass method

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In shallow or narrow water a moving ship sinks deeper than its static draught because the water rushing under the hull drops in pressure. That extra sinkage, called squat, has grounded ships that looked to have ample charted depth. This calculator uses Dr C. B. Barrass’s empirical formulae to estimate the maximum squat and the underkeel clearance left at your chosen speed.

How it works

Squat depends on hull fullness, speed, and how much the water is restricted. The Barrass formulae are:

open shallow water:  δ_max = Cb · V^2.08 / 100
confined channel:    δ_max = Cb · S^0.81 · V^2.08 / 20
   blockage factor S = (beam × draught) / (channel width × depth)
net underkeel clearance = depth − (draught + squat)

Because the speed exponent is just over 2, squat scales almost with the square of speed. The ship squats by the bow when Cb is above 0.700 and by the stern when it is below — the tool flags which end and warns when squat eats all the clearance.

Example and notes

A loaded bulk carrier with Cb = 0.80 doing 12 knots in 13 m of open water with an 11 m draught squats about 0.97 m by the bow, leaving roughly 1.0 m of net clearance — and the H/T ratio of 1.18 confirms a strong shallow-water effect. Slow to 6 knots and the squat falls to around 0.23 m. Treat every figure as planning guidance: real underkeel clearance also needs allowances for heel, wave response, tidal uncertainty, and survey accuracy, and the pilot’s judgement always governs.

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