Deflection, end mass and a small tipped cue

hejests

AzB Silver Member
Silver Member
Hey Folks,

I recently started shooting again after a 2 year hiatus. I was shooting previously with a pred 314-2 for about 5 years so I was well adjusted to low a deflection shaft. I shot well with the 314-2 but never really enjoyed shooting with it. I also tried pred z2, ob 1, ob classic, lucasi hybrid and Mezz wd700. I shot well with all of them, but I just didn't enjoy the experience all that much compared to the old cheap but solid sneaky pete I started shooting with 20 yrs ago.

Restarting again after a long break, I thought I would try something different. I picked up a cue with a 11mm conical taper shaft. It's a solid shaft with a 5/8 fiber ferrule.

Interestingly enough, I really didn't have to consciously adjust my aim at all when using english. In other words, aiming with english was pretty similar to aiming with the 314-2 that I'm used to.

I expected low deflection properties with a small tip (i.e lower end mass) but I thought I would take some measurements and compare it to a standard shaft.

Here's what I came up with:
Diameter at tip: 10.88mm
Diameter at 5 inch mark (127mm): 12.38mm

A shaft with a conical taper is basically a conical frustum (a cone with the top chopped off). using the volume calculator here: http://www.calculatorsoup.com/calculators/geometry-solids/conicalfrustum.php, i came up with a volume of 13510mm3.

to compare it with a standard pro taper shaft (13mm)
diameter at tip: 13mm
diameter at 5 inch mark (127mm): 13mm (yes, i'm assuming that a pro taper is a cylinder for the first 5 inches. I think for most shafts that I've measured there's a tiny increase in diameter so not quite a cylinder but I think it's close enough for approximation). Volume = 16857mm3

Going from the 13mm shaft to the 10.88mm shaft, there's a decrease in volume of 19.86% in the first 5 inches. (i.e. = ((13510 - 16857) / |16857|) * 100).

Since Mass = Density x Volume. It should be just shy of a 20% decrease in end mass. I would love to be able to compare this with a 314-2 or the like but chopping up one of those shafts in order to measure could be a costly endeavor!

Note: I am not an engineer or a scientist, just a pool player. Also to note, I think my measurements are bit biased towards showing a smaller % change. Namely:
- Most 13mm shafts have a 1 inch ferrule (and since the material is usually denser than maple...)
- With the conical taper, the largest % difference is measured closest the to the tip. If I chose to measure the difference over a 4 inch or 3 inch span the percentage would be higher. )

All that said, it's really nice to shoot with a solid shaft that happens to be low deflection. The smaller tip hasn't bothered me at all and the shaft is in no way whippy with the conical taper.
 
Note: I am not an engineer or a scientist, just a pool player.

The engineer's preferred tool for this is either a micrometer or calipers. You can get cheap digital calipers for around $15. It comes in handy for all sorts of things.

Thank you kindly.
 
The engineer's preferred tool for this is either a micrometer or calipers. You can get cheap digital calipers for around $15. It comes in handy for all sorts of things.

Thank you kindly.
Yep, I used a digital caliper for the measurements.
 
Yep, I used a digital caliper for the measurements.

hejests,

Nice thread.

With the hollow or solid shafts being of the same wood and thus density, the solid narrow, pro tapered shaft of say 9mm could be more flexible than a hollow 13mm shaft with the same front end mass. This may be analogous to a short vs., taller "I" beam - tensile and compression strength are in play.

The solid shaft should hit more solidly.:)

Be well
 
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