Calculating Euro 4-1 Rings per Square Foot
View previous topic | View next topic >
Post new topic Reply to topic
M.A.I.L. Forum Index -> Weaves Discussion
   
Author Message

Joined: October 05, 2006
Posts: 167
Submissions: 0
Location: Auburn, Alabama

Calculating Euro 4-1 Rings per Square Foot
Reply with quote
Posted on Fri Jun 22, 2012 9:10 am
Link to Post: Link to Post

I know I have way too much time on my hands, but for those who want to know how changing your ID or AR will affect how many rings you'll need I've empirically calculated a formula to predict how many rings you'll need for a given area. We'll start with the number of rows need for a given height at full stretch:

Num_Rows = Height / [2*(Do - 1)]

This was found analytically (which means that it wasn't a curve fit, but actually calculated using geometry). Since we know how many rows are required for a given height the only error in our calculation is from the assumption of how each ring lays over the over. In theory, if the wire is infinitely thin, then the number of rings around a cylinder is equal to the circumference divided by the ID.

Rings/sqft = 144/(ID*OD)

However, the rings don't lay perfectly flat and the wire isn't infinitely thin, so there is some error involved. This can be corrected by adding another term for a curve fit (a fudge factor if you will):

Rings/sqft = FIT * 144/(ID*OD)

where

FIT = 0.0245*AR^3 - 0.3461*AR^2 + 1.3998*AR + 0.4976

The curve fit works best for AR's less than ~7, but is better than 5% accurate up to AR's of about 9.4

Hope this helps!
-Ben



Post new topic Reply to topic
Jump to:  
Page 1 of 1
All times are GMT. The time now is Sat Aug 23, 2014 5:30 am
M.A.I.L. Forum Index -> Weaves Discussion
Display posts from previous: