Dynamic UKC

Under-keel clearance worked per waypoint against one policy you set once. Squat, roll and pitch, tide and datum, CATZOC in the minimum or off the charted depth, and the three contours — pass or fail on every leg.

How each figure is worked out
The order, exactly as it runs.
  1. Squat, from the raw charted depth and draft.
  2. Roll allowance = ½ × beam × tan(roll).
  3. Pitch allowance = ½ × LOA × tan(pitch).
  4. Dynamic draught = draft + roll + pitch + squat + safety margin. Even keel — there is no trim term.
  5. Available water depth = charted depth − datum allowance + tide. When CATZOC comes off the charted depth, that band’s allowance is taken off here as well.
  6. Dynamic UKC = available water depth − dynamic draught.
  7. Minimum UKC: by CATZOC, from the band’s percentage or its own equation; or, when CATZOC comes off the depth instead, the policy’s one equation.
  8. Pass or fail, compared at full precision — not on the rounded figures you see.
  9. The three contours, from this leg’s own values.
A blank is a zero here — deliberately, and only inside the arithmetic. A waypoint with no tide entered is worked as no tide, not as unanswerable. The blank itself is kept as a blank in the saved file, so it comes back a blank and not a nought.
Equations are read, not run. The contour and minimum-UKC fields are parsed by a small reader that understands only numbers, + − × ÷, brackets and the names listed beside each field. It cannot reach anything else on the page or in the browser, and a name it does not recognise is refused when you type it rather than quietly treated as zero.
What can be used where. A contour may use the readings, the allowances, the dynamic draught, the available water depth and the minimum UKC — but not the dynamic UKC, and not another contour. A minimum-UKC equation may use all of those plus the dynamic UKC, but not the minimum UKC itself, because that is the thing it is working out. A CATZOC depth allowance comes first of all, so it may use only the charted depth, the draft, the tide and the datum allowance; everything after it may use catzocAllowance. With the minimum UKC by CATZOC it is worked out all the same but not taken off the depth, so a band’s advanced equation or a contour can still add it where your policy does.
What this is. Arithmetic on figures you type, against a policy you set. It holds no chart, no tide table and no squat model of your hull. The squat formula here is a rule of thumb — it is not a manoeuvring-booklet figure and it does not know your block coefficient at this trim, your channel, or the bank effect alongside it. Charted depths, ZOC, tidal heights and the company’s UKC policy come from the chart, the publications and the SMS. Nothing here is approved, certified or class-accepted, and the Master remains responsible for the passage plan and for every depth on it.

A web version of a tool from DeckWatch, the work planner for ship’s deck officers.