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Tire Sizes again

To: brucec@amex-trs.com
Subject: Tire Sizes again
From: phile@pwcs.stpaul.gov (Philip J Ethier)
Date: Tue, 1 Sep 92 14:45:59 CDT
Bruce Carter writes >

>Phile scribed \
>\IMHO these tires are too wide for the 5.5" wheels. They are at 65% and I neve
>\like to run below 70%.  195s would be OK, at 72%, but 185-60-14 really work
>\well at 75.5%. My buddy Brian autocrosses with this setup, and it works fine.
>\He would not go to bigger tires without wider wheels.

>My question what are the percentages and what do they mean?

The wheel width as a percentage of the tire section width.

>Is it percentage of tire that meets the ground in relation to how wide
>the wheels are?

No.  Tread width is not considered.  Section width is the overall width of the 
widest part of the tire when the tire is mounted on a rim which is 70% of the 
section width.  This sounds like circular logic, but as Dave Barry says, "I am 
not making this up."

>What formula is used to determine how wide of a tire that will fit a
>given wheel?

Industry standards for tires call for a rim 70% of the section width.  For 
performance driving, several advantages are had by using a wider wheel.  More 
than 100% would be pushing it, though I do know some autocrossers up around 
100%.

>Everybody that I talked to before purchasing these tires said my wheels
>were plenty wide.

The standard measuring rim for a 185 tire is 5.1"  I don't think it is a good 
idea to put a tire wider than that on a 5" rim.  I don't think you will get any 
performance advantage.

>How about some enlightenment on the subject of tire sizes and wheel
>sizes, as I am completely in the dark here.

This is starting to become a FAQ  :-)  Here is a reprint of a previous post:
---------------------------
I have been getting a lot of request via private Email to compare tire sizes
for folks.  I figured I would just let everyone know how I do it.  I will still
be happy to answer questions about tire sizes, but you can have a lot of fun 
doing this yourself with a spreadsheet.

Here are the instructions to set up a spreadsheet for tire sizes and speeds.
The formulae are industry-standard from BFG.  They were taken from a Team T/A
tech sheet.  After I made the spreadsheet, I ran the BFG examples to check it.
I did mine in Excel, but rather than try to send the Excel file, I thought it 
would be more useful to send instructions that should work in your spreadsheet
program.

Assume for these formulae that your first cell is the upper left and it is 
called "A1".  [Cell "eye-one" looks like "I1"].  Actually, you will probably 
start lower on the page so you can get your titles on the top.  These formulae 
are all on one line, using columns A through L, so you can fill down the 
formulae and entered data to fill as many lines as you like, then change tire 
sizes, gearbox ratios, final drive ratios, or engine speed on each line to
compare.  You can figure the speeds in gears for your car, or check the effect
of a different tire size.

This example uses a 225-50-16 tire. For each column, the example will give:
1) The cell designation.
2) The title for the column.
3) The formula used for that column.  "enter" means that the user enters this
   data.
4) The number which appears in the cell as the result of the formula or entry.
   [Comments about the example]

A1
Section Width (mm)
enter
225

B1
Aspect Ratio
enter
50

C1
Wheel Diameter (inches)
enter
16

D1
Wheel Width (inches)
=E1*0.7
6.20 [This is the industry-standard measuring rim width of 70% of the section
     width.  If you use a wider rim, your tire will measure wider.  I don't
     like to use a wheel narrower than this for autocross and like to be above
     80%.  I think you might have problems with wheels wider than 100%.]

E1
Section Width (inches)
=A1/25.4
8.86  [This is just a straight mm/inch conversion.] 

F1
Section Height (inches)
=E1*B1/100
4.43

G1
Overall Diameter (inches)
=(F1*2)+C1
24.86

H1
Revolutions per Mile
=20800/G1
836.74 [This gives a number about 3% higher than straight math calculations
       would suggest.  I can only assume that BFG's testing confirms the "flat
       spot" theory that has spawned so many arguments in the past.  I choose
       to just accept BFG's formula.]

I1
Engine RPM
enter
5000

J1
Gearbox Ratio
enter
0.96 [This is a slight overdrive, maybe fifth gear]

K1
Final Drive
enter
3.55 [This is a typical "rear-end" ratio]

L1
Speed (MPH)
=(G1*I1)/(K1*J1*336)
108.54  [My spreadsheet displays all calculated numbers rounded to the nearest
        hundredth, but all numbers are held in the spreadsheet to many decimal
        places for calculation.  This gives hell of a lot more accuracy than we
        need.]

Go ahead and try this out.  If you get numbers different from my example, let
me know and I will look for errors.

It is left as an exercise for the student to print out "speeds in gears" graphs 
for the student's car from a spreadsheet modified from these formulae. :-)

Phil Ethier, THE RIGHT LINE, 672 Orleans Street, Saint Paul, MN   55107-2676
h (612) 224-3105   w (612) 298-5324     phile@pwcs.stpaul.gov
"The workingman's GT-40" - Anthony Colin Bruce Chapman

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