Hi,
On consideration I think you are right about not designing masts to
break. It would take a lot of luck to work right - and luck is
usually in short supply in problem situations.
The idea of canting the masts to leeward is an interesting one. If it
doesn't cause any problems with the mast swinging to leeward because
of the tilt it might be just the solution.
With regard to the weight I have clearly been confused the last few
days. I am now back to considering my first calculation (which
implied a 29% reduction in weight for a schooner) to be more correct.
The reason is that for the angle of deflection to be the same, the
ratio L^2/R^2 must be constant. Which implies that if L is reduced by
2^.5 then R must be also.
I am not quite sure what to make of the smaller sail area, but I think
it is clear that in any given weather there will be less force on each
mast for the schooner than for the single mast of the sloop.
I look forward to seing the results of your calculations. I know FEA
costs money, but would it be possible to include an analysis of
exactly the same sail shape to get comparability? I am not sure how
comparable a jibless schooner is to a balestron sloop from a weight
point of view. My first thought is that it wouldn't make much
difference, but clearly my first thoughts are not very reliable in
these matters.
Best regards
Herb
--- In harryproa@yahoogrou
>
> G'day,
>
> You are right, the angle is more relevant than the amount. Same
weight is closer to the truth, but still low, I think. We will be
doing some numbers on a schooner rigged 22m Visionarry which we are
starting early next year. I will let you know the results.
>
> Designing a mast to break before the boat capsizes is fraught. It
implies no safety factors and some hard decisions about waves and
payloads. Then you are sailing along with full sail up, a big gust
hits and you fly a hull. Ease one sail and the other mast breaks. I
would prefer to cant both masts to leeward 10 degrees, keep the weight
low in the windward hull and have a chance of self righting from 80
degrees, or more realistically, not be able to capsize this far.
>
>
> regards,
>
> Rob
>
>
> Oops.
>
> There is an error in my calculation.
>
> The weight of each mast is not 1/((2^.5) * (2^.5)) as shown below. It
> should be 1/((2^.25) * (2^.25)). This is because the luff is being
> reduced by 2^.5, which means that the reduction in weight is square
> root (2^.5) = 2^.25.
>
> So with the schooner sail the weight of the luff portion of the
> mast is now 1 / ((2^.25) * (2^.25)) = 1/2^.5 = .707. And for two
> masts it would be 2*.707 = 1.415.
>
> However the force on each mast is still 1/2 of the force on a unarig,
> so we can still reduce (I think) the diameter of each mast by 1/2^.5.
> This gives the total weight as 2/(2^.5)(2^.
>
> Hopefully this is a bit closer to the truth.
>
> Also, I was looking at the same angle of deflection - not the distance
> of deflection, on the assumption that what was relevant was the angle
> at the top of the mast. The link quoted gives that the angle is
> proportional to the square of length and radius, whereas distance of
> deflection is proportional to the cube. Should we be concerned here
> with angle or distance of deflection?
>
> One other point, on a cruising boat after a drama with 1 sail up and
> one down, do we really want to have 1 mast pointing up or 2 masts
> pointing down? If the former, perhaps the breaking strenght of one
> mast should be less than the weight of the boat.
>
> Best regards
> Herb
>
> --- In harryproa@yahoogrou
> >
> > G'day,
> >
> >
> >
> >
> > Rob I don't mind the schooner rig, in fact on a big boat where a
> mainsheet winch is required, and if the fore boom of an Easy rig is
> too high to easily reach, they have a lot going for them. Horses for
> courses.
> >
> > Herb The angle of deflection of a circular thin wall beam is
> proportional
> > to the square of the length
> > ( http://en.wikipedia
> > and the square of the radius
> > ( http://en.wikipedia
> >
> > R
> >
> > The formula for cantilever deflection is
> >
> > (Load*length cubed)/8*E*I Therefore it is a cube function of
> length, not a square. Halve the length, one eight the deflection.
> >
> > E is the material properties, I is the 2nd moment of area about
> the neutral axis. I= pi*radius cubed *wall thickness. The radius is
> also a cube function, so half the radius, 8 times the deflection.
> >
> >
> > H
> >
> > However, each mast now has only 1/2 as much sail area, so the
force on
> > each mast is 1/2 of what it would be for the single mast.
> >
> >
> >
> > R
> >
> > Yes and no. Each mast has to be strong enough to capsize the
> boat, as it is possible that only one sail would be fully powered up
> in a capsize scenario. This does not make each mast as heavy as a
> single one as to be stiff enough they are already stronger than
> required. However, depending on bury and other variables, it does
> make each mast much more than half the weight of a single one. On a
> harry, the bury will be very similar, although although a higher
> percentage of the overall length, which reduces the sheer loads
> somewhat.
> >
> >
> > H
> >
> > So I am confused. Is a schooner rig really about 2/3 the weight and
> > cost of a unarig (ignoring sails), or have I misunderstood
something?
> >
> > R
> >
> > I would say 3/2 is closer to reality for the weight and cost.
> >
> > regards,
> >
> > Rob
> >
> >
> >
> > Best regards
> > Herb
> >
> >
> >
> >
> >
> >
> >
> ------------
> >
> >
> > Internal Virus Database is out-of-date.
> > Checked by AVG Free Edition.
> > Version: 7.1.394 / Virus Database: 268.14.6/536 - Release Date:
> 11/16/2006
> >
>
>
>
>
>
>
>
------------
>
>
> Internal Virus Database is out-of-date.
> Checked by AVG Free Edition.
> Version: 7.1.394 / Virus Database: 268.14.6/536 - Release Date:
11/16/2006
>
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