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Southern Spars

When to reef and the theory of righting moments

by Grant Headifen, NauticEd on 10 Dec 2011
Can you explain why this keel boat can not capsize? SW
When do you reef a boat when bay, lake or harbour sailing? Any why? Have you ever REALLY understood why a keel boat on a level sea simply cannot roll over? Here Grant Headifen of http://www.nauticed.org!NauticEd gives a few tips for both skippers and crew for when out day sailing.

While all sailing boat designs are different and will sail optimally at different heel angles and reef points, there are a few generalities.

One piece of general preliminary reefing advice for skippers:

Don’t scare the pants off those on board by heeling the boat over too much. While you may be singing and enjoying yourself, others may be frozen solid. Here's an example:

One time sailing off beautiful Corsica we encountered a 40 knot Mistral breeze. We were sailing a Beneteau 50 and what a delight it was. The waves were about 8 feet and consistently washing over the deck. It was a beautiful day and we all had a blast – EXCEPT one person on board who had not been sailing much before. When we reached the marina in Bonifacio he jumped off the sailboat and lay flat on the dock kissing the dock boards. I learned that he had been so terrified that he could not speak and was looking between each wave where to jump clear of the boat it in case we went over.

After that incident I make sure that everyone new on the boat knows to look first into my face when and if they start to get scared. I tell them that if I’m smiling then it’s all ok and that they are only allowed to get scared if they see worry and fear on my face. This keeps the crew thinking straight and following instructions instead of worrying about jumping clear of the boat.

Heel angle and reefing in non-spinnaker/gennnaker situations: (broaching or getting knocked down with those sails is a different topic)

In light winds some heel angle will ensure your sails have some airfoil shape to them so position your crew to leeward to create at least about 5 degrees of heel angle. As the winds pick up you can begin to move your self moving ballast (crew) to the windward side to balance the wind force aloft in the sails.

In general, for most cruising sailboats, once you reach about 25 degrees or so the sailboat hull design and sail rig design will begin to reduce the ability of the boat to increase in speed in an efficient manner. That’s a very general statement but it’s a statement that will allow you to watch, learn and experiment with your own boat.

A weighed keelboat typically is not in danger of capsizing for three main reasons:

1. As the boat heels over the distance aloft to the center of pressure of the wind is lowered and thus the heeling moment is reduced. As an example, lets say the boat leaned all the way over. This heeling moment then is reduced to zero. So theoretically the wind can’t heel you all the way over anyway.

2. As the boat heels over the vertical area of the sails presented to the wind is reduced which reduces the actual heeling force.

3. As the boat heels over the weighted keel is lifted to windward thus creating a righting moment. The more the keel is lifted to windward the more the righting moment.

Heeling Moment vs Righting Moment:
From above then, the more the boat heels over, the less the 'heeling' moment from the sails and the more the 'righting' moment from the keel.

Or put more simply: In a full laydown situation there is no more tipping over force left and only straightening up force remaining. It might not feel like that when your hanging onto the rails for dear life but it’s pretty much the reality of the nature of forces and moments.

What is 'moment'? Moment is the ability to use a screw driver to open a paint can. Imagine a very stubborn paint can and a very short screw driver. Now use a longer screw driver you can imagine the force needed becomes much less. That’s moment. It’s not the force that opens the can but the moment. Moment is mathematically force x distance. In the same manner it’s not the force that heels the sailboat over it’s the height of the wind times the force of the wind.

Wind force on sails:
Mathematically, when you apply wind pressure to a triangle (sail) the center of force can be equated to be at the position of 1/3rd of the way up the triangle/sail.

Here’s a few more equations. Lets assume a right angle triangle.

Force = pressure x sail area presented vertically to the wind = pressure x foot length x sail height x (cosine (heel angle))/2
Pressure = ½ (density of air) x (wind velocity)Squared
Height of force above the sail foot = 1/3 rig height * cosine (heel angle)
Moment = force x height

Or to wrap it up, moment is proportional to the following:

wind velocity squared
the cosine of the heel angle squared
the rig height
the foot length.

In practical terms if the heel angle is 30 degrees the heeling moment is reduced to 75% or if the heel angle is 90 degrees (laying down flat) the heeling moment is zero.

Also note that in the above, if you go from 5 knots to 20 knots the heeling moment goes up 16 times. In most sailboats you should be looking at reefing anywhere from 12-15 knots. The other thought process to use is when you are starting to think about reefing, you probably should have reefed ½ an hour ago.

What effectively is reefing the sails doing?

Well, it’s just reducing the sail area and the height of the position that the wind force acts upon the sails. As an example if the sail was reefed down 15% of its height the area is reduced by 0.85 squared = to 72% of it’s original but the heeling moment is reduced even further because the center of pressure on the sail is lowered. So reefing has a cubic effect on reducing the heeling moment.

Another consideration regarding reefing and heeling is that the more you heel over the less effective is the rudder because you’ve reduced the vertical presentation of the rudder to the horizontally flowing water. So at a 45 degree heel, you’ve lost 30% of your rudder area which gives you less ability to handle the weather helm from a gust.

This can put you into a dangerous rounding up position. And believe me rounding up can be VERY dangerous. One time when sailing along I saw two things about to happen – a gust was on its way across the water towards us and a boat was heading towards us to pass to windward. A rounding up in this gust would drive us right into the oncoming boat. I reached over and let out the mainsheet. This twisted out the top of the sail and effectively lowered the heeling moment but keeping the bottom of the sail powered. The gust passed with out a round up and without that potential collision.

A seasoned saiing lboat skipper friend of mine put reefing philosophy into a nutshell: If you’re thinking about reefing, you should have yesterday. If you’re thinking about shaking out the reef, wait until tomorrow.

So, summing up, when should you reef?

So as you’re not scaring the crew
At about 25 degrees of heel angle
At about 12-15 knots of breeze

This article was written by Grant Headifen, Director of Education for NauticEd Online Sailing School. NauticEd provides basic to advanced multimedia online sailing courses and a globally accepted sailing certification. To inquire more or to take one of NauticEd's courses, http://www.nauticed.org!click_here.

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