Is anyone here interested in looking a bit more in depth into the mechanics of limb bending?
I would think you could place a bow on a tillering board and carefully measure the deflection at several intervals, say every inch or two, as the bow is drawn and compare those measurements to the theoretical deflection predicted by P2L3/6EI or ML2/2EI with similar type formulas for the deflection angle. I would think that treating the bow limbs as several discrete segments would make the math significantly easier due to variations in cross section not to mention any deflex, reflex, or recurved portions.
If anyone is interested in this or has done something similar, I would definitely be interested in discussing it. It's been several years since I've done any actual engineering, but I think this could be rather interesting and possibly informative regarding limb design, stored energy, etc.