Easy enuff if you like pie...I mean pi ( ratio of circumference to diameter) let's see 52 divideded by 3.146 equals 16.528 ... so 16 inch diameter tahrs there friend.
That would assume that the side chains wrap around the outer circumference of the tire on the tread. In fact, I don't think they would perform well under those circumstances.:dunno:
We can assume that the chains need to overlap a little over 2" over each edge of the tire: For 0.177 chain, that is one 1.18" cross link plus one 1.23" cross hook. This leaves about 10" across the tread (14"-[2x2"])=10".
Note that a tire with a cross-section width of "10.50" (i.e: 23-10.50-12) does not ipso facto have a 10.5" tread width. Cross-sectional width is at the widest point -- typically at the "balloon" between bead and tread. In fact, a Carlisle turf is only 9.5" wide at the tread. Anyway, 10" of available chain length suggests a tread width in the
neighborhood of 10".
Now, we have about 2" of overlap on our tire sidewalls. Remember that this 2" reduces the radius of the side chain, not its diameter. Our diameter is actually reduced by 4". Assuming the OP stated the usable length of the side chains (i.e: did not include the extra latch length) of 52", we divide that figure by 3.1416 to arrive at your correctly-calculated side chain diameter of about 16.5". We must now
add to that the additional 4" represented by the cross chain overhang to arrive at a
20" diameter tire.
So, I am guessing that the chains will fit a 20-10-10 or 20-10-8 tire. Possibly a 22-7.50-12 or 22-9.50-12 but that would require a test to fit.
There are two weakness in my calc's.:
1) I assumed standard 0.177" auto chain. If the cross chains are heavier duty 0.207, the overhang amount may differ as they have a different link lengths.
2) The side chains do not form a pure circle but a polygon determined by the number and spacing of cross chains. You actually pick up a little more possible tire size than a pure circular pattern would allow.
Looking at the SCC-Acco catalog, the closest matches I can find are:
Cross # Side #
Link Cross Chain Side
Stoxk # Tire Size Diam Links Diam Link
QG0466 8x12, 22x7.50-12, 22x9.00-12, 23x8.50-12 0.177 10 0.162 43
QG0471 20x10.50-12, 21x11.00-8, 22x10.00-12, 0.177 10 0.162 43
23x9.50-12, 24x8.50-12
Note: 43 side links is about 53.79", not 52". The chains could have been cut down.
I am unaware of a chart that makes it easy to determine all the sizes of tires a specific set of chains fit based on their dimensions...................
Links to tire chain specs:
http://scc-chain.com/PDF/908Cweb.pdf (tire chain specs pp 152-155)
http://www.lacledechain.com/images/stories/catalogs/tire-chains-specs.pdf
http://www.nacm.info/Downloads/TireChainSpec92805.pdf (Nat'l Assoc. Chain Manufacturers standards)