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Sixty calculators for the boating day

The numbers you need on the pontoon or when fitting out, sixty calculators with the standard formulas of seamanship and no sign-up. Every calculator has a page that explains what the result means when a contract is read later.

What boat insurance costs Seamanship

The calculators themselves run in English. Where a page quotes German figures or German rules, it says so.

Engine and running What the engine will give you, how far the tank goes and when the service is due. 7 calculators
Hull speed Calculating hull speed means finding the point beyond which a displacement boat cannot usefully go any faster, and what sets it is 2,43 times the square root of the waterline length in metres.
Range and Reserve When calculating range, take one third of the tank for the way out, one third for the way back and one third in reserve: that is the seaman's rule of thirds.
Maintenance by engine hours Oil and oil filter usually every 100 hours, fuel filter and gearbox oil every 200, impeller and spark plugs every 300, a major service every 500.
Revs and speed For calculating speed, engine revs divided by the gearbox reduction ratio, times the pitch, give the theoretical speed, less slip, which on displacement boats runs at 20 to 30 per cent.
Engine power When choosing, the rule of thumb at displacement speed is four to six PS per tonne, because hull speed sets the limit; planing needs several times that.
Displacement and payload Estimating displacement roughly from length and beam is possible; the payload comes to around twenty per cent, and overloading beyond it is an increase in risk.
Payload Working out the payload is simple: deduct eighty kilograms per person from the maximum permitted load, and what is left is for equipment, water and fuel.
Navigation and planning Distances, passage times, visibility and the water under the keel. 13 calculators
Visibility to the horizon To calculate the distance to the horizon, take 2,08 times the square root of your height of eye in metres, with the result in nautical miles.
Passage time Calculating your arrival is simple: distance divided by speed over ground gives the passage time; a foul current comes off your speed, not off the distance.
Speed conversion Converting is simple: one knot is one nautical mile per hour, that is 1,852 km/h. Ten knots is 18,5 km/h and 5,1 metres per second.
Units on the water Converting measurements starts here: a nautical mile is 1,852 metres, one minute of arc on a great circle. A cable is a tenth of that, a fathom 1.829 metres.
Safe water depth When calculating the under-keel reserve, take draught plus half the wave height plus half a metre: that is the minimum depth of water you need.
Lock transit time When calculating transit times on canals and rivers, allow twenty to forty minutes per lock, plus waiting time outside the gates.
Bridge clearance To calculate your clearance, subtract your height above the waterline from the bridge headroom, plus keep half a metre in reserve.
Turning circle Calculating it roughly: a displacement boat turns within about three boat lengths with the helm hard over, and considerably tighter with a bow thruster.
Tidal calculation Working out the tide by the rule of twelfths spreads the tidal range over six hours in the proportion 1-2-3-3-2-1.
Keel clearance Checking charted depth against draught is simple: charted depth minus draught gives your keel clearance; below half a metre it becomes critical.
Range before nightfall To calculate the day's run, and how far you get, take the hours until sunset times your speed over ground, keeping one hour in reserve for the harbour entrance.
VHF radio range When calculating the range, remember that VHF, distress calls included, only reaches as far as the radio horizon: 2.5 times the sum of the square roots of both aerial heights, in nautical miles.
Compass course Variation plus deviation gives the total compass error; it is subtracted from the true course.
Anchoring and mooring Chain, anchor weight, warps and fenders in the right size. 5 calculators
Anchor chain To calculate the chain length when anchoring, veer three times the water depth in calm weather, five times under normal conditions and seven times in strong winds as a rule of thumb, in each case the depth plus the height of the bow above the water; that scope also matters for your insurance.
Anchor weight and chain diameter When choosing, the rule of thumb is about 1,6 kilograms of anchor weight per metre of boat length, and a chain diameter of 6 to 12 millimetres depending on the size of the boat.
Mooring lines and fenders When choosing lines, bow and stern lines should be about the length of the boat, springs twice that, fender diameter around two centimetres per metre of boat length.
Swinging circle Calculating it is simple: the radius is the length of chain you have veered plus the boat's length, and the diameter is twice that.
Towline When sizing a towline, the breaking load should be at least twice the displacement, and the length grows with the weight.
Onboard systems and supplies Power, gas and water: how long does what last for how many people. 8 calculators
Battery requirement Working out the requirement: consumption in watt hours divided by 12 volts gives the Ah requirement; with lead-acid it doubles, because only half the capacity is usable.
Water and stores To calculate the supply for your cruise planning, reckon on twelve litres per person per day; five is possible if you are careful with it, and with a shower on board it becomes twenty.
Gas supply To calculate your supply: a burner uses about 160 grams of gas an hour. An 11-kilo bottle therefore lasts around 69 burner hours.
Provisions and person-days Working out person-days means crew size times cruise duration, the basis for water, gas and provisions.
Charging time Calculating the time for recharging is simple: divide the capacity you need to put back by the charging current; with lead-acid, add around twenty per cent for losses.
Solar yield For working out the yield and your self-sufficiency at anchor, multiply the panel output by the hours of sunshine and by seventy-five per cent for efficiency.
Bilge pump When calculating capacity against leaks, the rule of thumb is around five hundred litres per hour for every metre of boat length, spread across at least two pumps.
Onboard power consumption Breaking it down, what makes up the continuous load is refrigeration, navigation and lighting together, times twenty-four hours, divided by twelve volts.
Weather and safety Wind forces, wave heights and the kit the crew needs. 8 calculators
Beaufort and wave height In policy wordings a storm normally means wind force 8, a weather-related movement of air of at least 62 km/h.
Safety gear for the crew One lifejacket per person, plus safety harnesses, a lifebuoy, hand flares and a first aid kit; what is required depends on the waters and the flag state.
Seasickness Judging crew fitness starts with the waves: from about one metre of significant wave height seasickness affects anyone prone to it, and from two metres most people who are not used to being at sea.
Speed in poor visibility Divide the visibility by your speed and that is your reaction time before you reach an obstacle that has only just come into sight.
Wavelength To calculate it in deep water, the rule is: wavelength is 1,56 times the period squared, in metres, and that figure is then set against the size of your boat.
Survival time in water At ten degrees your ability to act is gone within a few minutes, long before survival time runs out.
Liferaft When choosing, remember that the raft must never be too small for the crew actually aboard, one place short is one person too many in the water.
Reefing Judging by wind force, the first reef goes in at five Beaufort, the second at six, and the old rule still holds: if you are thinking about reefing, you should already have reefed.
Care and berth Antifouling, winter storage and what a season costs. 7 calculators
Antifouling needed Calculating the paint required starts with the wetted area, worked out from length, beam and draught; the calculation allows about ten square metres of coverage per litre and two coats.
Winter storage or afloat Storage in a shed costs roughly 45 to 90 euros per metre, in the open 20 to 45, staying afloat 12 to 30, plus craning and winterising.
Berth size To calculate the berth area, take length times beam; for manoeuvring and fenders add about half a metre in each direction.
Hook load when craning When calculating the load for craning ashore, allow for the displacement plus around thirty per cent for equipment, tank contents and water.
Antifreeze To winterise with protection down to minus twenty-five degrees, calculate on a mix of roughly forty per cent concentrate.
Berthing fees Working out the fees for a night or a whole cruise, reckon on two to four euros per metre per night, depending on the cruising area and the facilities on offer.
Slipping The force pulling everything back down the ramp is the weight of trailer and boat times the gradient in per cent; from fifteen per cent upwards you need four-wheel drive to avoid damage.
Premium and policy The numbers that turn up in the insurance contract itself. 12 calculators
Sail area and premium When calculating, what counts is the upwind sail area: mainsail plus the largest headsail. Spinnakers and gennakers are not included.
PS, kW and the boat licence Converting is simple: one kilowatt is 1,36 PS. The licence requirement starts above 15 PS: the inland licence, the SBF Binnen, on inland waters and the sea licence, the SBF See, on maritime waters.
Depreciation and the agreed value Where cover is on a market value basis, the settlement falls as the boat gets older. With an agreed value the insurer pays the sum agreed, whatever the age.
Deductible versus premium Calculating it takes one division: the additional deductible by the annual premium saving; the result is the number of claim-free years before it starts to break even.
What a year of boating costs As a rule of thumb, annual running costs come to ten to fifteen per cent of the boat's value, and in that perspective insurance is the smallest item among them.
Sum insured When working out the sum, it covers the boat and permanently installed equipment; personal effects are covered separately, included at no extra premium up to three per cent and freely agreed above that for an additional premium.
The premium in proportion to value To calculate the rate in relative terms: around one per cent of the boat's value a year for insurance is typical, depending on type, waters and tariff level.
Premiums and claims risk Set premiums against the risk: multiply your annual premium by the number of claim-free years and that is what you have paid in to date.
Charter deposit Working out the cost before chartering is simple: the premium is usually around nine per cent of the deposit lodged.
Seasonal policy Cover applies from 1 April to 31 October only, that is the limit; in return the premium is lower, the policy term stays one year.
Cost per nautical mile Divide your annual costs by the nautical miles you have logged: that is what a mile really costs, the most honest cost figure there is in running a boat.
Cover gap Checking the boat's value against the sum insured is simple: the difference is the amount you carry yourself in a total loss.

Why an insurer publishes calculators

Because most arguments after a loss are not about the contract but about numbers nobody worked out beforehand. Anyone who knows how much water has to stay under the keel runs aground less often, and running aground is the most frequently reported cause of loss in leisure boating.

Other numbers sit in the contract itself: sail area sets the rating class for a sailing boat, engine power the premium for a motor boat, and in several countries the licence you need. Knowing them is what makes two offers comparable at all.

And some of them make the difference between a claim and a maintenance job visible. The service planner is one: a documented oil change moves the discussion after an engine failure away from the question of wear and towards the question of what actually happened.

More interactive pieces

The Boat Oracle Boundary check The Longest Night Time travel
Dividers, a compass and a calculator lying on a nautical chart
A couple walks along the pontoon to their motorboat with a picnic basket and towels, laughing

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