
Self aligning torque, also known as aligning torque, aligning moment, SAT, or Mz, is the
torque
In physics and mechanics, torque is the rotational equivalent of linear force. It is also referred to as the moment of force (also abbreviated to moment). It represents the capability of a force to produce change in the rotational motion of t ...
that a
tire
A tire (American English) or tyre (British English) is a ring-shaped component that surrounds a wheel's rim to transfer a vehicle's load from the axle through the wheel to the ground and to provide traction on the surface over which t ...
creates as it rolls along, which tends to steer it, i.e. rotate it around its vertical axis. In the presence of a non-zero
slip angle, this torque tends to steer the tire toward the direction in which it is traveling, hence its name.
The magnitude of this torque can be calculated as the product of the
lateral force generated at the
contact patch and the distance behind the wheel centre at which that force acts. This distance is known as the
pneumatic trail. The steering torque around a non-vertical steer axis with non-zero
mechanical trail
Bicycle and motorcycle geometry is the collection of key measurements (lengths and angles) that define a particular bike configuration. Primary among these are wheelbase, steering axis angle, fork offset, and trail. These parameters have a major ...
is given by
: (trail + pneumatic trail) · cos(
caster angle) · ''F''
''y''.
Even if the slip angle and
camber angle are zero, and the road is flat, this torque will still be generated due to asymmetries in the tire's construction and the asymmetrical shape and pressure distribution of the contact patch. Typically for a production tire this torque reaches a maximum at 2–4 degrees of slip (this figure depends on many variables) and falls to zero as the tire reaches its maximum lateral force capability.
See also
*
Vehicle dynamics
References
*Milliken and Milliken "Race Car Vehicle Dynamics" Chapter 2
{{Tires, state=collapsed
Automotive safety
Tires
Motorcycle dynamics