Here is a miniature bow I made from part of the elm stave I posted previously. I made it partially to test the suitability of the elm wood and get an idea of what poundage I might be able to expect from a full sized bow from the stave. Also as a go at tillering before I risk breaking my full size stave. (my first go, with a bit of pine broke, I think I was expecting too much from the wood)
The dimensions are scaled from the full sized bow design that I am planning from the stave. At full size these are:
length 69" NTN
Width 2" at fades continuing at 2" for 12" down the limb before tapering to 1/2" at the tips.
I downloaded a rather neat series of spreadsheets (by David Dewey) which contain loads of wood data (based on the bend test described in TBB 1) and also a design spreadsheet. This spreadsheet suggested that I could achieve a 50 -55lb draw weight for my design at 28" with the outermost fibres at 77% of their rupture strain (based on his data for "Texas Elm").
The scrap of elm that I cut from my stave only allowed for a 16" bow. This represents a scale factor of 0.225. At a scale draw length with a dimensionally scaled bow a draw weight of 55lb/0.225 squared should result in the same strain in the outermost fibres as a 55lb draw at full size. Hence if I can achieve a draw weight of 2.78lb with the mini bow, I should be able to do the same full size.