Carlon Determining the Number of Innerducts Contained in Outerducts User Manual
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Determining the Number of Innerducts Contained in Outerducts
Table 1. Number of Circles, n, Contained in Complete Layers of Circles and Diameter of
Enclosing Circle
Arrangement of Innerducts in Center Pattern (see Fig. I)
n
"A"
"B"
"C"
"D"
"A"
"B"
"C"
"D"
No. of Innerducts, N, Enclosed
Diameter, D, of Enclosing Outerduct*
0
1
2
3
4
d
2d
2.155d
2.414d
1
7
10
12
14
3d
4d
4.055d
4.386d
2
19
24
27
30
5d
6d
6.033d
6.379d
3
37
44
48
52
7d
8d
8.024d
8.375d
4
61
70
75
80
9d
10d
10.018d
10.373d
5
91
102
108
114
11d
12d
12.015d
12.372d
n
**
**
**
**
**
**
**
**
* Diameter D is given in terms of d, the diameter of the enclosed circles.
** For n complete layers over core, the number of enclosed circles N for
"A" center pattern is 3n^2+3n+1; for "B," 3n^2+5n+2; for "C,"
3n^2+6n+3; for "D," 3n^2+7n+4; while the diameter D of the enclosing
circle for "A" center pattern is (2n+1)d; for "B," (2n+2)d; for "C,"
(1+2(n^2+n+1/3)^.5)d; and for "D," (1+(4n^2+5.644n+2)^.5)d.
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