Rhino,
I'm sorry to say that you a make a few noteably errors in your modelling. Allow me to clearfy this point.
It is most definately a cantilever when there are no spin loads due to the pre-bend, which is just as bad from a fatigue viewpoint.
Fatigue crack growth propagation is a function of :
-1- the presence of changing stresses(loads)
-2- magnitude of average stress level
-3- the magnitude between extremes of constantly changing loads
-4- the direction of the stresses
-5- The number of stress changes
-6- presence of corrosive surroundings
-7- material properties, especially its relative resistance to shear stresses.
-8- geometrical properties of the element subject to changing stresses.
Without point -1- you don't even have fatique cracks.
point -8- can make strongly influence its growth rate. Small round holes are much less bad then large square like ones. The rivet holes do really qualify as small round holes in this respect.
Time to failure is most dependent on points -2-, -3-, -4-, -5-, -6-
It must be noted that when point -2- and -3- are below a certain threshold level that fatique cracks growth can be halted altogether and time to failure will be infinite.
Naturally salt water can be regarded as a corrosive environment stimulating the growth of fatique cracks.
Note how bending stresses of any other type of stresses don't really facture in this propagation of fatique cracks growth. As a matter of fact the very weak relationship that is between these two is such that under bending stresses the elment subject to fatique is actually MORE resilliant then one under tensile (non bending) stresses. This is because of the supporting function of less stressed material nearby.
Of course when there are no spi loads that the both the average stress level and the magnitude between extremes is MUCH Lower then under spi load. Also the frequency of stress changes is much much much lower if significant changes even occur at all. I would say that a spi pole without a spi hoisted is probably well in realm of indifinate extention of "time to failure" because of these points. Crack growth is halted and as such it is not "...Just as bad..."
The high degree of constraint at the bridle and the much lesser degree of constraint at the end of the pole is a pretty gross violation the truss idealization. This means there will certainly be some bending in the pole. To reduce or eliminate the bending on would need to:
You are right in a theoretical modelling sense, but this doesn't mean that it is a problem. The problem in this sense is on the side of the specific model that may not be entirely accurate in describing what happens in real life. But it does not mean that the real life situation has a problem simply because an overly idealized model (one of many) fails to describe it sufficiently accurately.
If you are technically schooled then the next comments will be helpful. The current spinnaker setup can still be accurately described by lineairized models as such it can be modelled by a truss model expanded with a simple cantilevel bending model and idealized buckling model where all results can be superpositioned on one another. This new model will be accurate in describing what happens in real life. When so desired when can look at each model component individually and then compare them to eachother. This is should still be within the capabilities of medium schooled engineers.
A - put a hinge in the pole at the bridle. This would decrease the compression force resistance of the pole due to a different buckling mode, however. You would also need something to keep it from drooping down too far when the spin is not up.
What if they bending stresses due to the prebend you are trying to elimate are not a significant part of the whole situation, then you may be trying to solve something that really isn't a problem. Additionally if it is significant then why not simply reduce the amount of prebend from say 2 inches to 1 and cut the importance of bending by halve ? Reduce it even more if that is not enough. Only a small amount of prebend is required to take the slack out of the system and to prevent unintended buckling bending to the sides. Why go for complex solutions when much simplier ones are available ? That is if the problem is present at all which I don't believe it is.
B - use extreamly stiff lines between the bows and the end of the pole, and eliminate the pre-bend. As Berny said, because of the acute angle of those lines, the loads in them are greatly magnified.
So what is it ? Either the much magnified compression loading is dominant or the bending due to prebend is. They can't be both dominant at the same time. I say that compression is dominant when there is no excessive prebend in the pole.
Additionally even infinately stiff lines won't cancel at all the need to spi pole prebend. The prebend is there to pull these lines taught, which is not a function of stiffness of the wires but of the stiffness of the pole ! Additionally the prebend is there to force the pole to always try to bend upwards under compression loads. This is much preferred over it bending sideways or even downwards. It is locked in place much better that way. Additionally it is near impossible to get the length of the midpole support wires such that both these and the tip wires are perfectly taught with a prefectly straight pole. Ergo you try to have the midpole support wires a little more loose then the end pole ones and prebend the pole to get all of them taught.
The reason for the prebend is much of practical nature and the attractiveness of the fact that we know its failure direction in advantage. The last point allows a designer to optimize the design further. It will always fail in one direction before failing in another. But we are getting into details here. There is a more important error point to be discussed here.
Stretch in those lines causes the tip of the pole to move upward (I figure this is why you use pre-bend, so that the tack of the spin doesn't go to high). Because the pole is highly constrained at the bridle, this leads to bending stress in the pole. You would need some super-stiff line (perhaps made of unobtainium) to keep the end of the pole from deflecting an appreciable ammount.
I'm sorry to say that this is wrong on multiple points and as such is totally wrong in its end conclusion.
First of all if the wires stretch and the pole tip moves upwards then that is actually a good thing and not a bad one. Afterall by moving th tip up you are REDUCING the net prebent of the pole and thus lowering the bending stresses ! So this would mean that when a spi is hoisted that the pole experiences smaller bending loads/stresses then when the spi is snuffed. This is actually a good reason to have prebend in the pole and not start out with a perfectly straight pole. However the dyneema lines used or so low stretch that this is really not a significant issue.
So the basic error here it that deflection under spi load is actually a bad thing on a prebend pole when it really isn't it is actually a good thing. If the lines would stretch more then you would increase prebend to compensate for it.
The assumption that the fact of the bridle point being highly constrained will lead to increased stresses is an overall unsupported statement and false at that. First you can not ever say it like that as there are more then a few exceptions and secondly it is patently false in this situation where buckling failure mode is a component. Buckling failure mode is actually enhanced by any deflections (in its halveway point). By fixing the middle of the pole very well (constraining) the pole will become much more resiliant to buckling failure. So my other recent post to Berny.
Or do this home experience. Grap a small diameter by long rod. Stand it up straight and press down on its top. At a certainly level of force the rod will deflect outwards and bending it will become easier (requiring less downward force). Now have a family member hold the middle of the rod so that that point stays on the vertical between both ends. No repeat the experiment, what do you notice about the required force to buckle the rod ?
Now you will understand why the next point you wrote down is actually a very bad move.
C- Decrease the constraint at the bridle, by removing the compression strut. This would decrease the apparent stiffness of the pole by increasing the length over which it is bending. This will make the lines take more of the upward force of the spin by decreasing the resistance of the pole to that force via bending.
I also am a bit confused by the fact that at first you try to lower the bending stresses but adding hinges etc and now you are actually increasing bending stresses by removing the constrained at the midpoint. These two actions are in direct conflict with eachother. You are, I'm afraid, not consistent in your solution.
Anyway, this may be a systematic problem, or just a random event. My understanding is that the Blade is pretty new design. Maybe other Blade runners will encounter this problem in the future, in which case the design of the pole needs to be changed. Or maybe they won't.
The general spi pole design is now widely accepted in beach catamarans so that is not it. The only difference in F16's is that we use an eyestrap with 2 rivets to secure the strut too, although we are not unique in this aspect as several other builders use the same eyestrap to fit the retaining line to as well. I do feel that we F16 sailors are looking for the most lightweight setup while other builders tend to overdimensionalize components like these. A Tiger spi pole feels MUCH heavier then our F16 pole while being almost the same length.
During prototyping neither Phill not I encountered any problems with the saddle over a time span several years. And phill have a large gaping hole there. So either Robi's pole was at one time seriously mishandled or the VWM pole are using a much smaller wallthickness or small diameter pole.
Can anybody measure this ? Because now I want to know.
If I owned a blade, I wouldn't futz with my pole at this point. However if it broke in a similar manner, I would certainly consider modifications to the design.
I would first try to establish what the reason for the failure was and attack that issue directly. I dare wager a good amount that it is not the saddle or the rivet holes but something else.
Wouter