Formula for datum points
Formula for datum points
(OP)
Hi All,
I am trying to place a bunch of battery strings (circles) inside of a tube . Using the machinery's handbook there is different configurations for packing circles inside of circles. Has anyone ever made a formula for creating datum points or pattern table to assemble parts to pack circles inside of a circle?
Tofflemire
I am trying to place a bunch of battery strings (circles) inside of a tube . Using the machinery's handbook there is different configurations for packing circles inside of circles. Has anyone ever made a formula for creating datum points or pattern table to assemble parts to pack circles inside of a circle?
Tofflemire





RE: Formula for datum points
I don't know if I well understood your problem, but if you need a patern of tangent circles on a curve here is a solution:
Supposing you have a tube having an internal radius "Ri". You need to place N small wires inside (on a single circle). This circle will have a radius "R". The wires will have a radius "r"
Now, what you need in R or r, supposing you'll know how many wires you want to place or knwoing the wires radius, you want to know how many wires you can place.
Let's take the first one: You know "Ri", and N.
alpha = 360/N
r = R*sin(alpha/2)
R + r = Ri
Now you have:
R + R*sin(alpha/2) = Ri
R(1+sin(alpha/2)) = Ri
R = Ri/(1+sin(alpha/2))
And of course will result the wire radius:
r = Ri*sin(alpha/2)/(1+sin(alpha/2))
I hope this is what you want.
-Hora
RE: Formula for datum points
Thanks for your formula. When I used the words "battery string", I meant 12 d-cell batteries wired together in series to make a string, and then I place another string tangent and wire it to the other string in parallel etc... I need to place 24 of these strings tangent each other in 1 of the 4 the configuration shown in the machinery's handbook under the section Number of circles in a circle. I would to have a formula, pattern table or even a relation so I can change a couple of variables to get my strings locations quick and easily.
Sorry for the confusion.
Tofflemire
i Hora,
Thanks for your formula. When I used the words "battery string", I meant 12 batterys wired together in series to make a string, then I place another string tangent and wire it to the other string in paralle ect... I need to place 24 of these strings tangent each other in 1 of the 4 the configuration shown in the machinery's handbook under the section Number of circles in a circle. I would to have a formula, pattern table or even a relation so I can change a couple of varibles to get my strings location.
Sorry for the confusion.
Tofflemire