Laser 28 - Excellent example of this great design Hamble le rice |
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Rossiter Pintail Mortagne sur Gironde, near Bordeaux |
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Laser 140101 Tynemouth |
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List classes of boat for sale |
Weight equalisation |
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KazRob ![]() Far too distracted from work ![]() ![]() Joined: 22 Oct 16 Location: Scotland Online Status: Offline Posts: 245 |
![]() ![]() ![]() ![]() Posted: 03 Jan 22 at 7:50pm |
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The basics remain the same. In simple mechanics with no significant member deflections, for no accelerations (linear or rotational), the net forces and moments at any point must be zero. In the tree analogy the tree reacts against the over turning moment by spreading the loads out through it's root system.
If you want to make it more accurate by considering member deflections, teh system becomes much more complicated to calculate but fundamentally the overall system remains in static equilibrium.
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423zero ![]() Really should get out more ![]() Joined: 08 Jan 15 Location: United Kingdom Online Status: Offline Posts: 3420 |
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The answer to the question of where to attach wire on the mast, is where it will do minimum distortion to the mast, thereby diminishing detrimental sail shape changes.
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Robert
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Sam.Spoons ![]() Really should get out more ![]() Joined: 07 Mar 12 Location: Manchester UK Online Status: Offline Posts: 3401 |
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Surely the forces are there but as the are perfectly balanced they create no movement, the tree roots are easily capable of balancing the mass of the 'sailor' so the force on them does not generate movement on the trunk. In a boat the force doing the 'pulling over is the power of the rig and the force doing the 'holding up' is the weight of the sailor, the analogy is not perfect as, because the boat can heel, they need to be in perfect balance. The position of the harness hook is still irrelevant though (excepting the physical effects on the crew Mozzy mentions)
Edited by Sam.Spoons - 03 Jan 22 at 7:38pm |
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Spice 346 "Flat Broke"
Blaze 671 "supersonic soap dish" |
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KazRob ![]() Far too distracted from work ![]() ![]() Joined: 22 Oct 16 Location: Scotland Online Status: Offline Posts: 245 |
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In the diagram above, there is no net horizontal or vertical force and no net moment around the mast base in either case. In a boat the moment is balanced by the sail force / hull couple. In the diagram the moment is resisted by the mast base itself. The difference in tensions in the wires is irrelevant and can be calculated just basic trig and remembering that net forces and moments at any point must be zero if there is no net acceleration at that point.
Edited by KazRob - 03 Jan 22 at 7:32pm |
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OK 2249
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Sam.Spoons ![]() Really should get out more ![]() Joined: 07 Mar 12 Location: Manchester UK Online Status: Offline Posts: 3401 |
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But still exactly the same hanging off the boat?
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Spice 346 "Flat Broke"
Blaze 671 "supersonic soap dish" |
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Mozzy ![]() Far too distracted from work ![]() Joined: 21 Apr 20 Online Status: Offline Posts: 209 |
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the tension (1000N) on the two examples above aren't the same.
Increasing the height of the hook puts more weight on feet and less on the wire. |
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Sam.Spoons ![]() Really should get out more ![]() Joined: 07 Mar 12 Location: Manchester UK Online Status: Offline Posts: 3401 |
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Agreed... Enlighten us then?
Edited by Sam.Spoons - 03 Jan 22 at 7:08pm |
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Spice 346 "Flat Broke"
Blaze 671 "supersonic soap dish" |
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KazRob ![]() Far too distracted from work ![]() ![]() Joined: 22 Oct 16 Location: Scotland Online Status: Offline Posts: 245 |
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Perhaps another way to look at it is a hybrid between a sliding seat and a trapeze. Imagine a model yacht with a plank pivoted at the gunwhale, and held up by a wire connected somewhere up the mast (or for that matter a structure on the boat). Moveable ballast (i.e. the sailor) is simply a weight which can be fitted to the plank at a single point equivalent to the full size sailors CoG. The total righting moment provided by this is only a function of the weight and where it is along the plank and not where the supporting wire is attached. The closer to the pivot point the wire attaches, the higher the vertical reaction load at that point. The further out the wire, the less the vertical reaction load has to be to remain in balance.
i.e. 2m long weightless plank fitted 100mm out from boat CL with a 1kg weight at it's midpoint. For static equilibrium we need the sum of the moments around the boat CL to be zero. Assume the wind load balances the heeling load perfectly and the boat heels around it's CL to simplify things. Moment from weight around hull CL =1000+100 * 1kg * 9.81N/kg = 10791Nmm To balance this we need a vertical reaction to this
If the sideways force from teh sail acting around the hull buoyancy is not in balance the boat will heel one way or the other. The actual load in the supporting wire will depend on the angle it attaches to the plank. As wire can only take tension loads, the tension will vary inversely with the cosine of the angle between vertical and the wire. Wire vertically above connection point (0deg, cos =1, load = vertical reaction force); wire at 45deg to vertical (cos = 0.707, load = 1.41x vertical reaction force); wire at 60deg to vertical (cos = 0.5, vertical load = 2x vertical reaction load). On teh question of why does the windward shroud go slack when trapezeing, the answer is in two parts. The load on the trapeze wire takes some load of the shroud and may be enought o take all the load off it. There is also a substantial downward load that may increase bend in the mast through column buckling, reducing it's length and taking tension off the shroud |
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Mozzy ![]() Far too distracted from work ![]() Joined: 21 Apr 20 Online Status: Offline Posts: 209 |
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![]() changing the heights of the hook or termination on the mast obviously won't effect the moments. But it does change the forces which is of some importance to both the mast (and it's shape and structure) and the human body. Hook height... the further you place the hook up the body the more weight is on the feet. If you move the hook very low, you fall out backwards (or have to start tucking you feet under the gunwale). Generally I prefer a lower hook as it gives a bit more freedom to move the upper body around. If the hook height is very high it gets in the way, but also means more strain holding you bum up with the glutes. The same could be said for a low hook height and holding you shoulders up with your abbs (but you have shoulder straps and back support for that). Hook height on the mast is usually just set to the hounds as from a structural point of view its the best supported point of the mast and usually is still about full section before the mast tapers. So there is less you have to do to the mast to modify it to carry one or more sailors. What is also noticeable on the 800 with the equalisation it that as the racks go out the wires pull you inwards more. So you generally have more load on your feet. The negative is it's noticeably harder pointing your toes. But on the positive side when the boat comes on top you can have more heel before you start to swing away from the hull. Most 800 set their rigs up the same (or attempt to). Initially this makes a lots of sense as there isn't much variance in righting moment or all up weight so the theoretical fastest set up for all would be the same. But that lien of thinking doesn't account for how the varying body sizes load the rig and from which angle. First of all the heavier sailors will put more compression in to the rig (duhh they're heavier) which means their windward shroud starts to flap around sooner. Lighter sailors will produce less compression, but also their wires pull more sideways. This creates a bit of a catch 22, where 800 sailors who are very light might be able to run less tension as they are unlikely to get the windward shroud flapping, and they will get little extra compression due to body weight on the wires which can leave the rig over straight and have them feeling over powered, despite the equalisation system giving them the same RM. Whereas the bigger sailors might end up with flappy shrouds, which means they are getting more mast compression and more mast bend making their rig feel less powerful. Those problems are eventuated the further outside the weight range. The answer would be adjustable spreaders to get the correct mast curve with varying tension, but the spreaders are fixed. Interesting stuff, I think. But I don't want to derail the enthralling discussion about whether hook height changes the righting moment. Edited by Mozzy - 03 Jan 22 at 7:09pm |
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Sam.Spoons ![]() Really should get out more ![]() Joined: 07 Mar 12 Location: Manchester UK Online Status: Offline Posts: 3401 |
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Yes
No, the crew's CoG is still only 2.5m from the mast foot
Yes, it's purely the hight of the sailor (or more correctly how far, horizontally, from the mast foot his CoG is
See above
Yes
No, different forces, the CoG of the 90kg crew is roughly at his navel, say 1m from his feet. Now lets assume he can use toe straps just outboard of the gunnel and flat hike with his feet touching the gunnel, his CoG will be 1m out from the gunnel regardless of how wide the racks are (as long as they are wide enough for him to hike off). Now remove the racks and put him on a trap wire so he can stand horizontally off the gunnel with his CoG in exactly the same place relative to the boat and he will generate exactly the same righting moment and will be able to balance exactly the same amount of power from the rig. I'm almost tempted to make a mock up to prove it but have other stuff I have to do first.
Edited by Sam.Spoons - 03 Jan 22 at 6:58pm |
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Spice 346 "Flat Broke"
Blaze 671 "supersonic soap dish" |
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