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Tire diameter formula with known metric tire size.

Posted By: MoparMarq

Tire diameter formula with known metric tire size. - 10/09/11 07:31 PM

Some have posted on tire size swaps while seeking a specific tire diameter. Here's the formula for tire diameter.

Tire size is, of course, listed as "SW/AR-RD", where SW is section width (the width of the tire), AR is aspect ratio (the height of the sidewall of the tire expressed as a percentage of width), and RD is the diameter of the rim the tire is designed to be mounted on. E.G., 235/45-16 is a 235 millimeter wide tire with a sidewall height 45% of the width, designed to be mounted on a 16 inch rim.

Overall tire diameter is as follows:

TD = (SW x AR x 2) / 25.4 + RD

The term in parentheses is the height of both sidewalls and dividing by 25.4 converts the units from millimeters into inches for addition to the rim diameter. E.G., (235 x .45 x 2)/25.4 + 16 gives an overall diameter of the above mentioned tire of 24.3 inches.
Posted By: RodStRace

Re: Tire diameter formula with known metric tire size. - 10/10/11 12:54 AM

That is nice and sorta helpful, but as anyone who has worked in a tire store can tell you, 2 different brands of tire the same size can be different heights.
Posted By: deansrr

Re: Tire diameter formula with known metric tire size. - 10/10/11 12:59 AM

Quote:

That is nice and sorta helpful, but as anyone who has worked in a tire store can tell you, 2 different brands of tire the same size can be different heights.





You mean same brand tires can have different heights
Posted By: BDW

Re: Tire diameter formula with known metric tire size. - 10/10/11 01:24 AM

Good info, here's a link to calculate and/or compare.

http://www.discounttiredirect.com/direct/brochure/info/tmpInfoTireMath.jsp
Posted By: 440newport

Re: Tire diameter formula with known metric tire size. - 10/10/11 01:24 AM

Quote:

That is nice and sorta helpful, but as anyone who has worked in a tire store can tell you, 2 different brands of tire the same size can be different heights.





And widths. I had a pair of 225/70 Good-years that looked about an inch wider than a 225/70 BFG.
Posted By: 6bblgt

Re: Tire diameter formula with known metric tire size. - 10/10/11 06:56 AM

The "section width" (225 235 245 255 etc) is the widest part of the tire when mounted & it is not the tread width.

The reason a BFG VS. Goodyear (225/70/15) will be different dimentionally is the mounted rim is not STANDARDIZED - the BFG may have used 6.0" & the Goodyear 7.0" or vice-versa.
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