How to use the squat calculator
- Enter the block coefficient (Cb) from the ship's stability booklet or hydrostatic tables for the current draught. Full-bodied ships such as tankers and bulk carriers squat more than fine container ships.
- Enter the speed through the water, not over the ground, together with the static draught and the water depth (charted depth plus the height of tide).
- Choose open shallow water or a confined channel, such as a canal, river or dredged channel, and set your minimum under-keel clearance.
What is squat?
As a ship moves through shallow water, the water flowing past and under the hull speeds up and its pressure drops, so the ship sinks bodily and changes trim. That increase in draught is squat. It grows with the square of speed, with the fullness of the hull and with how much of the waterway the ship blocks, so it is greatest in narrow, shallow channels.
Barrass's formulas
The simple formulas give the maximum squat at the bow or stern and are the ones taught for deck officer examinations. The open-water version is intended for depth/draught ratios of about 1.1 to 1.4, and the confined version for typical channel blockage factors of about 0.10 to 0.265.
Bow or stern?
- Cb above 0.7 (tankers, bulk carriers): maximum squat at the bow, so the ship trims by the head.
- Cb below 0.7 (container ships, passenger ships): maximum squat at the stern.
- Cb about 0.7: the ship sinks almost evenly.
Worked example: bulk carrier in a canal
A bulk carrier with Cb 0.80, drawing 12.0 m, proceeds at 8 knots through a dredged channel with 14.5 m of water:
- Maximum squat = 0.80 × 8² ÷ 50 = 1.02 m, at the bow
- Static UKC = 14.5 − 12.0 = 2.50 m; dynamic UKC = 2.50 − 1.02 = 1.48 m
- To keep at least 0.60 m under the keel, squat must stay below 1.90 m: V = √(50 × 1.90 ÷ 0.80) = 10.9 knots
In open shallow water the same ship would squat only about 0.51 m, which is why many groundings happen when a ship carries her open-sea speed into a channel. Canal and port authorities set speed limits for this reason.
Signs of squat and good practice
- Reduce speed early. Halving the speed cuts squat to a quarter.
- Expect sluggish steering, a larger turning circle and more vibration in shallow water.
- Squat increases further when passing or overtaking another ship in a channel (interaction).
- Plan the under-keel clearance before arrival and confirm it with the pilot.
Going through the Suez Canal? Estimate the dues with the Suez Canal toll calculator, and check load line allowances with the FWA & DWA calculator.
