Don I think TBB already addressed this in that the more dense the less the wood would float. So pine had to be about twice as wide as Osage for example. I think that weight = density= stiffness they all three make up the mass in a working bow. How you distribute the mass is the secret to better performance. This Is more technical than I can do the math for . But it’s my gut feeling. Mark it might be easier to build 50 bows . Just saying. Arvin
This doesn't help a beginner bow maker until he (or she) understands what it means, and that means making a number of bows. As you said, This Is more technical than most beginners can understand until you've seen it working, if you can ever. And you need to understand the variations in the wood itself and give a little leeway.
Most beginners want to make a bow that shoots well and is within some reasonable draw weight range.
Take this bow for instance
http://www.primitivearcher.com/smf/index.php/topic,70563.0.htmlTake this comment specifically (which helped me, and should help anyone else reading it)
Correct observation by bownarra and should have mentioned it but I don't make too many bendy handled bows myself.Making that thickness of .84 extend out a few more inches either way from the handle for a more eliptical tiller.
Shooting heavier arrows does reduce handshock a bit too making the bow more efficient with bows 5.5' in length.To really see if a bow has no handshock shooting an 8 grain arrow will show you too.Right now your shooting around a 11.5 grain arrow.
If I had beginning dimensions of this bow before going through the trial and error, I would have made the .84" longer. The only way we knew it was .84" and the .84" needed to be longer, was I documented it. I haven't documented the final numbers yet, I wanted to wait until it was well shot in, but the point is, someone could now take a HHB stave, match my measurements (or stick with the original and just make the .84" longer) and they would have much less trial and error to go through.
There will still be final tillering, but not nearly as much. I've copied like this twice now, and it's got me very very close. I haven't even needed to floor tiller and final tiller on one went straight to shooting.
I typically take a spreadsheet, layout the dimensions, then create a new row that adds .02" to each measurement. One could be a little safer and add .04", to give some leeway in tillering or add a little draw weight.
TBB is a great start, but there is a lot of conflicting information from vol 1 - vol 4, and it can get very confusing at first.
I've only done this with HHB, but I think Hickory would be very close to the same dimensions. I don't know how far off other wood would be.
If everyone documented their bow this way, and we could compile that info, a beginner could say, "I want a 60" maple bow, 45#@28" and if he could find a few examples with dimensions like this, I believe he could make his first bow shoot, if he had the woodworking skill to follow the dimensions as I described.
Maybe he'll eventually learn to tiller a tough knarly knot ridden bow, or maybe he'll make 3 bows his entire life he hunts with.
I know an experienced bowyer can make a bow by feel, and I get that, but my 2 dozen shooters, and my three dozen broken remnants in the corner hasn't gotten me there yet, and at my age, I may not ever get there, but this kind of information will help me and many others make bows to hunt with, shoot when they want, and continue to make better bows (whatever that means)