On Mar 16, 11:50=A0am, "Chris Grubb" <threefa...@[EMAIL PROTECTED]
> wrote:
> I'm sorry...51 bolts will be spaced equally around a radius of 41'- 9-
> 9/16". A chord length is what I'm looking for here. I need to provide a
> template for holding these bolts in place for cast-in-place concrete. I
> appreciate all of the help I've found here. Occasionally, math problems
> arise in the field.
>
> Thank you again
>
You don't want to start at one hole and work your way around -- the
***ulative error (not math error, but physical measuring/fabrication
error) would throw you off waaay too much.
51 is a multiple of 3
So the first thing you have to do on your template is locate 3
equidistant points on the cir***ference. Easy, because you can make a
perfect hexagon using a spanner or compass and mark the sides, which
are equal to the radius and intersect the cir***ference of the
circle. But first mark one diameter. Use one end of the diameter as
your first hole center, and from the other end of the diameter use a
compass to swing an arc, both ways, to intersect the cir***ference.
These three points will be your beginning, and it is the most accurate
way by far to get started marking out your template, lacking CNC or
something of the sort... I am talking about by hand.
You have to divide each section into 17 equal parts now. You should
do it by dividing into parts of 8 and 9 units (you can't bisect or
trisect because 17 has no integer factors). This involves some
calculation, which I don't have time to go over now; maybe I can come
back to this thread later. But the 8 unit side is super easy to
complete, just do subsequent bisections, three of them, and you're
done. The on the 9 unit side, do a single step to bring it down to 8,
and then do the bisection steps again to finish it off.
Words from an experienced carpenter.
Gotta go, see you later.
Kell
|
