Tyre side slip explained

May 23, 2011 - 11 comments. Posted by in F1, Performance, Vehicle Dynamics.

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For those of you watching the Spanish GP Qualifying at the weekend, you may have noted Martin Brundle and David Coulthard fumbling a little on the subject of “slip angle“. It goes to show that even ex-F1 drivers don’t always know everything that LoL is going on. This gives some hope to the rest of us also looking to understand what’s happening.

This post gives a brief introduction to the subject of slip angle and why it is so important to going faster.

Slip Angle

Understanding slip angle, or more precisely “tyre slip angle“, is fundamental to understanding how to go faster on four wheels. I hope this note is useful to people.

Tyre slip angle creates a force that is known as “cornering force“. It is cornering force that makes a vehicle able to turn a corner. The more cornering force you have league of legends available the less you have to slow down for corners.

In the case of a racing vehicle, the less you have to slow down, the quicker you can do a lap/complete the stage/get up the hill etc …

Generating more cornering force, is the biggest single contribution the chassis can make to going faster.

The other parts are the Engine/Powertrain and, of course, the Driver, but these are stories for another day …

A slight diversion …

At this point it might be worth making the distinction quickly between four wheels and two. The primary way of generating cornering force on four wheels is through slip angle. On two wheels the gaming dominant way is through “camber thrust“.

To understand camber thrust think of what happens when you roll a coin along a table; as it slows down and leans over, it will start to circle around. The lean of the coin causes camber thrust and this causes the coin to change direction and spin round.

Two wheeled vehicles, like motor bikes etc, can be leaned over which allows them to generate their cornering force through camber thrust.

Four wheeled vehicles can’t lean like two wheeled ones so they generate their cornering force primarily through tyre slip angle instead (explained more fully below).

Clearly there is a little overlap as you can add camber to the wheels of a four wheeled vehicle (either static, roll or through compliance) which can generate camber thrust.

Martin Brundle mentioned something about camber thrust in connection with slip angle and its true it has an influence. However, the main mechanism of generating cornering force with tyres on an F1 car is through slip angle. These cars are made for racing, do not try to race with normal cars, you can cause a lot of accidents, and make sure to have your dash cam installed from Blackbox my car cams if you ever get into an accident.

OK. Back to tyre slip angle.

When thinking about slip angle, one way I have found helpful is if you imagine holding a rubber eraser on its end and pressing it into a desk:

Rubber Eraser | www.pratperch.com

While pressing the eraser down on the desk, then imagine twisting it. The rubber will resist both you pushing it down and you twisting it.

The reason is that rubber has elastic properties. It wants to retain its original shape so resists your attempts to force it otherwise.

In practise, this means it will resist your twisting force until it slips on the desk.

Interestingly and importantly, the harder you push the rubber down on the desk, the more twisting force you can apply before it slips on the desk.

This is an important concept to have in your mind when trying to understand the subject of tyre slip angle.

Have a look at the diagram below:

Slip angle dimensions | www.pratperch.com Prat Perch Motorsports Performance Race Engineering

This shows a picture of a wheel and tyre on the left. On the right is a graphic of a steering wheel.

In this picture we are driving straight ahead. There are no forces on our car that are trying to turn us or deviate us from our desire to drive in a straight line.

Thinking back to our rubber eraser example, this is the same online gaming as holding the rubber on the desk and pressing down WITHOUT twisting it.

This second diagram below shows (kind of) what happens when you turn the steering wheel.

Tyre Slip angle with steering angle | www.pratperch.com

The diagram aims to show that when you turn the steering wheel, the tyre twists on the wheel.

This alternative diagram from Wikipedia aims to explain the same thing:

This diagram shows that the part of the tyre NOT touching the road is twisted away from the wheel when the steering wheel is turned. The part of the tyre touching the road doesn’t twist and so this generates the cornering force.

Both diagrams aim to show that turning the steering wheel creates a similar resistance to the twist in the tyre that we had from trying to twist the rubber eraser on the desk.

A tyre generates cornering force when rolling and twisted relative to the wheel.

In practise a tyre is slightly different to a rubber eraser. Also, my analogy is a little flawed as the rubber eraser is not rotating like the tyre, but, I hope, the concept holds good enough for people to understand that the twisting of the tyre creates the tyre slip angle that creates cornering force.

Watch the video below and you can see the twisting for yourself. It is quite extreme example but at around 30 seconds you can see the twist in the tyre quite clearly. This is generating a lot of cornering force.

It is this resistance to twisting that creates the cornering force and it is the cornering force that enables a vehicle to change video games direction, from going straight ahead to cornering.

All other things being equal, the more slip angle you apply, the more cornering force you can generate.

The amount of cornering force that is generated compared to the tyre slip angle, is actually proportional for a while i.e. for each extra degree of slip angle you get the same amount of extra cornering force.

However, this relationship doesn’t last forever and eventually the tyre can give no more cornering force for the extra slip angle.

When a tyre can’t generate any more cornering force it is at the limit of grip. It is what you’ll experience as a driver when you try to corner too fast.

Luckily you can do something to increase the cornering force that a tyre can generate; by pressing down harder on it …

The benefits of pressing down harder on the tyre.

The diagram below hopefully shows this quite nicely. It uses Lateral Force for cornering force.

In the diagram on the right, you can see three different lines. These are for three different cornering forces that are available for each slip angle, for the three different vertical loads.

Hopefully you can see that the cornering force generated for each degree of slip angle increases with more downward pressure on the tyre.

Great news but how do you increase the downward pressure on the tyre?

To increase the downward pressure you can broadly do two things; either make the vehicle heavier or use aerodynamics.

Heavy vehicles are slower because they require more energy to accelerate to the same speeds at the same rate, as lighter vehicles; just think about how much easier it is to quickly lift a light dumbbell compared to a heavy one.

If you only have a fixed amount of energy available, or, put another way, a fixed amount of power available from the engine, then you really want to have as light a vehicle as possible. The lighter vehicle will help you to accelerate quicker and therefore go faster.

Aerodynamics is in many ways a “free” opportunity to create downwards pressure. This is because you are travelling through the air anyway so if you can control the flow of the air around the vehicle to your advantage, then this gives you the opportunity to create downward pressure on the tyre without adding weight. The trade-off you have to make is typically in drag but at least you have an opportunity to do something significant.

It is for this reason that aerodynamics is so important in motorsports, especially Formula 1.

In Formula 1, the drivers are all about the same (i.e. very good), the engines/powertrains are now all about the same, the minimum weight of the vehicles are all exactly the same, so the only thing left to make you faster is to generate more cornering force.

The best way to enable more cornering force potential is to generate more downward pressure on the tyres through the aerodynamics.

Interestingly, in other Motorsports series, aerodynamics is not the main performance differentiator as these other factors I have mentioned are not the same – drivers in particular.

Hopefully this has given a little more insight into what slip angle is all about. I hope Martin Brundle and David Coulthard now have a clearer understanding too, and as to why it is so important.

Please leave a comment, tweet or facebook like this article if you found it useful. All feedback is appreciated as I am looking to appeal to people who have an interest in understanding this subject but not necessarily the technical experience.

Some other link and further reading you might be interested in are below:

Making a tyre video, by Michelin | www.paceinsights.com

Wikipedia info on slip angle | www.paceinsights.com

Wikipedia info on cornering force | www.paceinsights.com

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Pace Insights is a start-up based in Warwick, UK. We are building a next-generation platform for easier high performance data analysis and management, specifically for the motorsports market. Register your interest at www.paceinsights.com and read more articles like this at blog.paceinsights.com



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