2012/4/9 charles green <xxzzb...@yahoo.com>:
> i wonder if there is any math out there on the ideal taper form, given its 
> use in specifed materials and load conditions?

Ohh, conical fits (I hope that is the correct translation) is the
thing we have been discussing in university lately.
Answer to Your question is: No. Because You skipped another (and IMHO
the most important) factor: specific use-case also applies.
What I mean - the angle of taper determines:
1) how well both parts are centered each to other - the smaller angle,
the better centering;
2) how much will the distance between bases of both cones change as
the surfaces of cones wear off - the larger the angle, the smaller the
distance,
tolerances on each cone also will increase the tolerance of the fit
dimensions for smaller cone angle values;

So larger angle improves one, the smaller angle improves the other, so
the optimum value lies somewhere inbetween, changing in different
situations. That is why there is not the one and only answer (which is
also my answer to Your original question).
The way I see it now is that the load and material will determine
mostly the diameter (and length) of the taper, but the application of
particular mechanism (required precision of assembly etc) is the main
factor to determine the angle value.

Viesturs

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