Winter wheels. Need advice.

Did you read all of it? Yeah, it confirms a long contact patch is better for rotational grip and wide is better for lateral. I don't think anyone here was arguing that. In our specific case, 225/40-18 vs 255/35-18, I don't see how the patch length is changing causing the 255 to be inferior.
As for how the patch length changes because you change the width, how much the tire will squish (all other things being equal) is a function of presure (in this case due to weight). If the tire material / sidewall stiffness / tire ressure / car weight doesn't change, neither will the pressure the car exerts on the road through the tires... in other words, the number of pounds per square inch. If you make the contact patch wider, the length of it will decrease.
As for how the patch length changes because you change the width, how much the tire will squish (all other things being equal) is a function of presure (in this case due to weight). If the tire material / sidewall stiffness / tire ressure / car weight doesn't change, neither will the pressure the car exerts on the road through the tires... in other words, the number of pounds per square inch. If you make the contact patch wider, the length of it will decrease.
You've now narrowed the question so that it favors your argument. The discussion hasn't been about whether tire width affects traction. The discussion has been about whether narrower tires are better, as a whole, for winter driving. There are trade-offs, that you have ignored in declaring yourself the winner.
With everything being equal other than contact width, wouldn't it behave like a solid hollow cylinder?
The Best of Mercedes & AMG
You've now narrowed the question so that it favors your argument. The discussion hasn't been about whether tire width affects traction. The discussion has been about whether narrower tires are better, as a whole, for winter driving. There are trade-offs, that you have ignored in declaring yourself the winner.
And, this is not a contest and I am not the winner... I am merely expressing my understanding of the laws that govern the forces at play.
No - it's not a solid cylinder... if it behaved like a cylinder, the contact patch would essentially always be a line regardless of the diameter, and furthermore (in the practical case at in theory a line has no surface area) by changing the width you'd be changing the pressure per square inch. The tire is deformable and behaves like a balloon - what you're changing is the shape of said balloon.
No - it's not a solid cylinder... if it behaved like a cylinder, the contact patch would essentially always be a line regardless of the diameter, and furthermore (in the practical case at in theory a line has no surface area) by changing the width you'd be changing the pressure per square inch. The tire is deformable and behaves like a balloon - what you're changing is the shape of said balloon.
Doesn't the psi on the road decrease because the surface area increases?
If you don't know how to calculate it that's fine and it's ok to actually admit that. I don't, and I would like to learn how to.

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I don't need any persuasions about contact patch shape vs what's better for a particular application (I've already agreed more than once). I just want to learn how to approximate contact patch dimensions. It sounds like you do and I'd like to learn how. If both the OD and the width of the tire increase, the contact patch length could potentially remain the same. If so, the wider tire could be better all around for dry conditions.
Additionally, even if the OD is exactly the same, I'd like to figure out how how much the patch length decreases for the wider tire. I have interpreted from your replies that it's significant so I'd like to verify.
Does that Race Car Dynamics book show how do said calculations? If so, I will consider ordering the PDF version and would be happy to share my findings.
I suspect that any calculation would require knowledge of a wide range of factors, including factors that haven't been touched on in here like weight distribution, spring rate, and wheel width. In my mind, if you're accelerating aggressively and weight is being transferred to the rear, there is more force compressing the tire into the ground, changing the contact patch.
I suspect that any calculation would require knowledge of a wide range of factors, including factors that haven't been touched on in here like weight distribution, spring rate, and wheel width. In my mind, if you're accelerating aggressively and weight is being transferred to the rear, there is more force compressing the tire into the ground, changing the contact patch.
Who cars is someone else pretends to know more than actually they do.I found this read interesting.
http://www.enginebasics.com/Chassis%...t%20Patch.html
Perhaps you should be more concerned about the long-standing members who feel the need to be condescending and rude to new members, a fairly big problem in this particular forum, rather than trying to profess civility to someone who gave a member a taste of his own medicine.

Moving on, some more info I stumbled across.
http://the-contact-patch.com/book/ro...-contact-patch
As a quick experiment for sh¡ts and giggles. I'm going to pick up some contact paper to measure the contact patch of my current rear 255-35/18 vs my front 235-40/18 (I'll swap it over to the same rear position) just to see the difference. It won't be very accurate since they are different tires with different load ratings, but, since I originally had the same 235 on the rear, it will be interesting (for me) to see the comparison.

Moving on, some more info I stumbled across.
http://the-contact-patch.com/book/ro...-contact-patch
As a quick experiment for sh¡ts and giggles. I'm going to pick up some contact paper to measure the contact patch of my current rear 255-35/18 vs my front 235-40/18 (I'll swap it over to the same rear position) just to see the difference. It won't be very accurate since they are different tires with different load ratings, but, since I originally had the same 235 on the rear, it will be interesting (for me) to see the comparison.
I look forward to your experiment. I'm sure somebody could rig up a machine in their garage to test other situations, but I don't know anybody that cares that much about determining contact patch.
I care and that's all that actually matters to me...
A key problem has been that at times, we're talking different things. He has focused on an increase in longitudinal traction, while we have at least tried to expand to other topics, like handling. Both of us can be right yet the real question, which setup is better, can be left answered.



Now, after saying you're "bowing out", you come back in, look like you're interested in a discussion, but unfortunately, we appear to be answering and asking different questions.
Finally, after the thread went silent for two days, you take your ball and go home, which is your right to do.

Even your latest comment comes off as condescending. I have no idea why you posted, and asked a direct question to me, if you "have absolutely no intention whatsoever in enaging you any further nor wasting my time on you".
I don't deny that you have good information, but it'd be great if it was packaged in a format that was less analogous to a suppository. This applies to other people in this forum as well, who act as if they're doing people a favor and blessing the forum with their knowledge by posting.






