41 h rear rim size

Per my Farmall H Parts Catalog the 11 X 38" tire was mounted on a 10" rim. Of course that was what would have left the factory decades ago and anything could have happened since then. You can measure the size between the two rim flanges to determine what size you do have after the tire is removed or fabricate some device which will allow you to measure with the tire in place, Hal.
 
13.6's will be bulged out some on a 10 inch rim as the tire tread is 2 inches wider than the rim. The difference will be noticeable. Even if you compared a 12.4 inch tire on 10 inch vs 11 inch rims, the one on the 11 inch fits visually better. The 13.6 inch tires you want will say "--on an 12 inch rim".
 
(quoted from post at 17:11:20 04/27/12) 13.6's will be bulged out some on a 10 inch rim as the tire tread is 2 inches wider than the rim. The difference will be noticeable. Even if you compared a 12.4 inch tire on 10 inch vs 11 inch rims, the one on the 11 inch fits visually better. The 13.6 inch tires you want will say "--on an 12 inch rim".

You actually mean the tires cross section at the widest part will be 2" wider than the rim. That is the dumb thing about tire measurements...well one of them.
 
Owners manual for the 41 H we had on the farm lists 8-9-and 10 inch in the 38 inch size. Thats one piece goodyear, firestone or cleveland welding brand rims. also 36 and 40 inch sizes are listed and could be used. Also says pneumatic tires and tubes should be ordered from the manufacturer. 9 inch was on the 41 we had.
 
NO, the rim size is (ideally) supposed to be the same as the tread width. A 13.6 tire has 13.6 inches at the widest sidewall point, and has a tread width of 12 inches to perfectly fit a 12 inch rim. A 13.6 inch tire on a 10 inch rim has a 12 inch tread width which means the tread width is 2 inches wider than the rim. A 14.9 inch tire has a 13 inch tread width and fits best on a 13 inch rim, etc. Tread width/cross section width on common tires are as follows 9/9.5, 10/11.2, 11/12.4, 12/13.6, 13/14.9, 14/16.9, etc. The 15.5 tire that some people like to put on an M does not have a tread width equivalent, and is probably best on a 14 inch rim. IH did allow a tread width 1 inch wider than the rim width, but most tires now have the correct rim width on the tire.
 
(quoted from post at 18:42:01 04/27/12) NO, the rim size is (ideally) supposed to be the same as the tread width. A 13.6 tire has 13.6 inches at the widest sidewall point, and has a tread width of 12 inches to perfectly fit a 12 inch rim. A 13.6 inch tire on a 10 inch rim has a 12 inch tread width which means the tread width is 2 inches wider than the rim. A 14.9 inch tire has a 13 inch tread width and fits best on a 13 inch rim, etc. Tread width/cross section width on common tires are as follows 9/9.5, 10/11.2, 11/12.4, 12/13.6, 13/14.9, 14/16.9, etc. The 15.5 tire that some people like to put on an M does not have a tread width equivalent, and is probably best on a 14 inch rim. IH did allow a tread width 1 inch wider than the rim width, but most tires now have the correct rim width on the tire.

I follow, I think we are after the same thing in different ways. I thought you were saying the tread was 13.6"
 
Perhaps a better explanation is that when a tire says, say "12.4 on a 11 inch rim", the mfg means that the the cross section will be 12.4 inches on a 11 inch rim (with proper inflation). This gives the tread the proper flatness or curvature, not too much or too little. I can't say that if you put a 13.6 inch tire on an 11 inch rim, as many do, including me, whether that will give more or less flotation or traction. Probably that is probably the reason the IH parts books say it is ok to go up one size, but not two. I do know that 13.6's look better on a 12 inch rim, because I have a 460 that way, and I just sold an M with 13.6's on 11 inch rims. There was not a lot of noticeable bulging in the side walls on the M, but the tread was definitely more curved.
 

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