
Cornering force or side force is the lateral (i.e., parallel to wheel axis)
force
In physics, a force is an influence that can cause an Physical object, object to change its velocity unless counterbalanced by other forces. In mechanics, force makes ideas like 'pushing' or 'pulling' mathematically precise. Because the Magnitu ...
produced by a vehicle
tire
A tire (North American English) or tyre (Commonwealth English) is a ring-shaped component that surrounds a Rim (wheel), wheel's rim to transfer a vehicle's load from the axle through the wheel to the ground and to provide Traction (engineeri ...
during cornering.
Cornering force is generated by tire
slip and is proportional to
slip angle at low slip angles. The rate at which cornering force builds up is described by
relaxation length.
Slip angle describes the deformation of the tire
contact patch
The contact patch is the portion of a vehicle's tire that is in actual contact with the road surface. It is commonly used in the discussion of pneumatic (i.e. pressurized) tires, where the term is used strictly to describe the portion of the tire' ...
, and this
deflection
Deflection or deflexion may refer to:
Board games
* Deflection (chess), a tactic that forces an opposing chess piece to leave a square
* Khet (game), formerly ''Deflexion'', an Egyptian-themed chess-like game using lasers
Mechanics
* Deflection ...
of the contact patch deforms the tire in a fashion akin to a
spring.
As with
deformation of a spring, deformation of the tire contact patch generates a
reaction force
As described by the third of Newton's laws of motion of classical mechanics, all forces occur in pairs such that if one object exerts a force on another object, then the second object exerts an equal and opposite reaction force on the first. The t ...
in the tire; the cornering force.
Integrating the force generated by every tread element along the contact patch length gives the total cornering force. Although the term, "tread element" is used, the compliance in the tire that leads to this effect is actually a combination of sidewall deflection and deflection of the
rubber
Rubber, also called India rubber, latex, Amazonian rubber, ''caucho'', or ''caoutchouc'', as initially produced, consists of polymers of the organic compound isoprene, with minor impurities of other organic compounds.
Types of polyisoprene ...
within the contact patch. The exact ratio of sidewall compliance to tread compliance is a factor in tire construction and inflation pressure.
Because the tire deformation tends to reach a maximum behind the center of the contact patch, by a distance known as
pneumatic trail
Pneumatic trail or trail of the tire is a trail-like effect generated by compliant tires rolling on a hard surface and subject to side loads, as in a turn. More technically, it is the distance that the resultant force of side-slip occurs behind th ...
, it tends to generate a torque about a vertical axis known as
self aligning torque.
The diagram is misleading because the reaction force would appear to be acting in the wrong direction. It is simply a matter of
convention to quote positive cornering force as acting in the opposite direction to positive tire slip so that calculations are simplified, since a vehicle cornering under the influence of a cornering force to the left will generate a tire slip to the right.
The same principles can be applied to a tire being deformed longitudinally, or in a combination of both longitudinal and lateral directions. The behaviour of a tire under combined longitudinal and lateral deformation can be described by a
traction circle.
See also
*
Camber thrust
*
Lateral force variation
*
Circle of forces
The circle of forces, traction circle, friction circle, or friction ellipse is a useful way to think about the dynamic interaction between a vehicle's tire and the road surface. The diagram below shows the tire from above, so that the road surface ...
*
Skidpad
A skidpad or skidpan is a circular area of flat pavement (material), pavement used for various tests of a car's handling. The most common skidpad use is testing lateral acceleration, measured in Metre per second squared, meters per second squared ...
References
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Tires
Automotive steering technologies
Force
Motorcycle dynamics