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SecltonS -S
Y R
FIGURE F2: GEOMETRV OF A CHAIN BENT OVER A CURVED SURFACE
Unfortunately. the angle (J cannot be deternuned by a closed-form analytical solution. Tbe problem
is a very complex solid geometry problem involving [he interlocking of two [oroids intersecting at
an angle which depends on angles () and (J. As tr increases then the angle (J decrease.~. Figure F3
shows the approximate relationship between th e angle (1 a.nd the angle a. These values were measu.red
with small chain having proportions similar to large stud link chain. The angle (J decreases slowly
from approximately 400 to approximately 300 as a increases to about 70°. and then it drops rapidly
as a increases to 90°.