- #1

Sprotz

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This is about vehicle physics. I know how to calculate weight on each axle on a car during deceleration. Given the picture below:

The weight on the front axle is calculated as:

and the weight on the rear axle is calculated as:

where c and b are the distances between the center of gravity and the rear and front axle respectively, L is the wheelbase, W is the weight of the car (m*g), h is the height of the center of gravity, M is the mass and a is deceleration.

Now how do I determine the weight on each of the four wheels when the car is cornering? I figured that I could use the area on each corner for each wheel that is inversely proportional to the load. The area calculated by the shifted weight determined by the velocity vector of the car while it is skidding when cornering, as shown in the picture below:

Example, as shown above, the load on the front right wheel (FR) is inversely proportional to the area (A1) as the car's 'reversed' deceleration vector shifts the center of mass to the point shown by blue arrow. Likewise for the other three wheels.

So how do I translate the equations from the first image above into the second image involving each individual wheel?

Or is there another method or simpler method of determining the weight load on each wheel instead of just on each axle?

The weight on the front axle is calculated as:

**Wf=(c/L)*W-(h/L)*M*a**and the weight on the rear axle is calculated as:

**Wr=(b/L)*W+(h/L)*M*a**where c and b are the distances between the center of gravity and the rear and front axle respectively, L is the wheelbase, W is the weight of the car (m*g), h is the height of the center of gravity, M is the mass and a is deceleration.

Now how do I determine the weight on each of the four wheels when the car is cornering? I figured that I could use the area on each corner for each wheel that is inversely proportional to the load. The area calculated by the shifted weight determined by the velocity vector of the car while it is skidding when cornering, as shown in the picture below:

Example, as shown above, the load on the front right wheel (FR) is inversely proportional to the area (A1) as the car's 'reversed' deceleration vector shifts the center of mass to the point shown by blue arrow. Likewise for the other three wheels.

So how do I translate the equations from the first image above into the second image involving each individual wheel?

Or is there another method or simpler method of determining the weight load on each wheel instead of just on each axle?