I got this e-mail from Doug Knight at
http://www.surewoodshafts.com :
"Understanding spine, especially at the upper end of the scale can be a bit of a challange. As you probably know, spine is determined by hanging a 2 lb weight from the center of the shaft while it is being supported 26" apart (for wood; carbon and aluminium use 28"). With this weight hanging from it and bending the shaft, a measurement (in .000"
inch) is taken to see just how much it is bending, otherwise known as deflection. Once the "deflection" value has been acquried the simple math formula of [spine=26"(support)/deflection] calculates it into spine as we know it. ie, a 100 lb spine shaft deflects .26" of an inch with the weight hanging on it. Take a 110 lb shaft and it deflects .24" of an inch, or a difference of .020" for a 10 lb spread. At the lighter end of the scale, ie 20 lb spine has 1.3" deflection while 30 lb spine has .87" deflection or a difference of .43". Both represent a 10 lb spread but the difference of .43" vs .020" is quite a difference.
This simply tells us that spine is not linear. Do the math for each 5 lb spine group and plot them on a graph, then draw a line connecting all the plotted points. You don't end up with a straight line but rather a nice arching curve or parabola with the deflection steadily DECREASING (at some exponetial rate) while the spine steadily INCREASES. Around the 90 lb rate the curve tightens up and heads towards infinity as we continue trying to add more and more poundages of spine into a finite space as the deflection nears zero.
Recall our 20 lb shaft has 1.3" of deflection and our 100 lb shaft is .26". Now think of the fact we only have that .26" left on our scale (till it reaches 0")to crowd all spine poundages clear to infinity. Thus it becomes clear the higher spine (or less deflection) we have in our arrow shaft the closer we approach infinity as to poundage of bow it can be used with. In theory an arrow of 0" deflection could be shot from a bow of infinate poundage, in fact it could be shot from a gun, a cannon or any other means approaching the speed of light(disregarding the fact of course that it would burst into flames and burn up once it reached kindeling temperature due to friction).
As humans we have limitations as to how heavy a bow can be drawn and have devised this method of calculating spine to suit our needs within that range. We have also developed the formulas of adding or subtracting 5 lbs here 5 lbs there for bow types, head weights, string materials etc. etc.
This method of adding and subtracting is linear. It is a great tool, but recall spine is not. Thus it is most applicable and benificial to those in the (average) 45-60 lb bow weight ranges it was developed by and created for. The more we move out of this average upwards towards infinity of bow weight the less rate of effect these issues come into play."
That's what I was trying to recall.
Thanks, Doug!