Worked tide example

Will My Mast Fit Under the Bridge? Air Draught and Bridge Clearance

Charted bridge clearances are measured above a high water level, usually Highest Astronomical Tide (HAT) on modern charts. Actual clearance = charted clearance + (HAT − height of tide). With a 12.0 m clearance, HAT 5.8 m and a 13.5 m air draught, you need the tide below 3.3 m: here after about 1333.

The question

A bridge has a charted clearance of 12.0 m above HAT, which is 5.8 m at this port. Your mast top is 13.5 m above the waterline and you want 1.0 m to spare. HW 1100 (5.0 m), LW 1700 (0.6 m). When can you pass under?

What you are given
ItemValue
Charted clearance12.0 m above HAT
HAT5.8 m
Air draught13.5 m
Margin wanted1.0 m
High water1100, 5.0 m
Low water1700, 0.6 m
0 m1 m2 m3 m4 m5 m6 mTide below 3.3 m1100 HW1700 LW1333
Tide curve drawn with the Rule of Twelfths. Real curves vary from port to port; use the almanac curve for real passages.

Working, step by step

  1. Clearance needed = air draught + margin = 13.5 m + 1.0 m = 14.5 m.
  2. Underside of the bridge above chart datum = HAT + charted clearance = 5.8 m + 12.0 m = 17.8 m.
  3. Highest tide you can pass at = 17.8 m − 14.5 m = 3.3 m.
  4. At HW (5.0 m) the clearance is only 12.8 m, so you must wait for the tide to fall 1.7 m.
  5. Range = 4.4 m; one twelfth = 0.37 m; fall needed = 4.64 twelfths.
  6. In the first 2 hours the tide changes 1 + 2 = 3 twelfths, which is 1.10 m.
  7. That leaves 0.60 m to go. In hour 3 the tide changes 3 twelfths (1.10 m), so it takes 0.55 of that hour, about 33 minutes.
  8. Earliest time = 1100 + 2 h 33 min = 1333.

Answer

Pass under after about 1333. At low water you would have 17.2 m of clearance.

The tides in this example are made up for practice. For real passages, use official predictions such as ADMIRALTY EasyTide or a nautical almanac, and the port's own tidal curve.

Try it yourself

Put your own numbers into the free tide calculator, which uses the same Rule of Twelfths and works out under-keel clearance.

Learn the method

More worked tide examples

Frequently asked questions

Are bridge clearances measured from MHWS or HAT?

Current ADMIRALTY charts measure vertical clearances above Highest Astronomical Tide. Some older charts and other publications use Mean High Water Springs. Check the chart's title block, and treat any clearance with caution.

What is air draught?

The height of the highest point of the boat, usually the masthead instrument or VHF aerial, above the waterline.