wnethercote
Class Member
Posts: 111
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« Reply #1 on: May 13, 2019, 05:58:31 PM » |
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Bob, here is what I recently posted to Peter's forum on masts. I also did a runner post, to follow.
"I am following up on my Runner Tracks post, with a little additional detail.
I am not convinced that deleting current mast weight and centre of gravity restrictions would be performance neutral. If I assume a 2.2Kg ballast weight at hound height in a 4.6 Kg mast I can derive a centre of gravity height for that 4.6 Kg mast by assuming that the ballasted mast had the minimum legal CG height. The result is a CG height of 1604 mm for the 4.6 Kg unballasted mast. Figure 1 shows this CG and the minimum legal CG. Both gravity vectors point near the leeward end of the runner plank, about 200 and 400mm from its end, respectively.
The mast weights create a restoring moment that opposes the sail's capsizing force. The unballasted mast is only 65% of the weight of the ballasted mast, but its gravity vector is twice as far from the leeward runner, so the lighter, lower-CG mast has 130% of the righting moment of the heavier mast. In lighter winds, the mast will bend less and the righting arms of the two masts will be similar, so in lighter winds the heavier mast should have higher righting moments. But in lighter winds, the lighter mast will be more desirable for weight reasons alone.
I don't think the differences are big; indeed, in Figure 1 the lighter mast only has about 4 or 5 N-m better righting moment. What is of greater concern is shown in Figure 2. The righting moments don't really act around the leeward runner, but around the line between the leeward runner and the bow runner. The mast centre of gravity might actually be to leeward of that line in Figure 1, in which case there is even a bigger advantage for the lighter mast.
The mast centre of gravity rule is a pain in the neck without doubt. Are the advantages of a lighter mast that I claim worth worrying about? Perhaps not, but if the perception is that the advantages are significant then dropping these requirements may have negative effects on current mast values."
Peter has responded there. My estimates of ballast at the hound is on the high side.
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