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no suspension, tire hitting a curb, how severe?

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redrabbit03

Automotive
Oct 18, 2007
1
I'd like to share an interesting problem that I recently had a discussion about with a friend of mine on a road trip. Basically, we discussed how severe are the impacts with potholes/curbs if a car has no suspension. Imagine if we still drove carriages today.

Imagine a car moving at a velocity, v, with mass m. The front tires strike a curb, assume rectangular with a certain height h, smaller than the radius of the tire, so that the car is able to continue.

Problem: How to find that type of dynamic loading is generated on the car itself during this collision? To simplify the problem, assume the car has no suspension, and that the wheel is a considered a rigid structure, pivoting, if you will, about the point of impact. I'm interested in finding out how large this force will be compared to the weight of the car.

A number of questions also arise in this problem. Does the modulus of resilience affect the changes in momentum, if so, is it actually possible to determine the modulus of resilience in this case?
If you don't treat the tire as a rigid structure, can a tire be treated as a spring, compressing, absorbing the loads? I've heard that during a rough collision with a curb, tire itself doesn't play a vital role in changing the amount of dynamic forces transmitted to the chassis, which is why we have suspension on cars in the first place.

Anyone have any ideas?

Take care,
RedRabbit
 
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The tyre will have a significant effect.

This question is very academic and shows little relationship to practice. Are you a student.

Regards

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