Affect of Body Roll on Vehicle Cornering

In summary, the person is asking for help with a past paper problem, specifically the maximum velocity a car can take round a bend without sliding or rolling over. They provide the relevant data, such as the radius of the bend, friction coefficient, car width, and center of gravity position. They mention using Newton's laws and torque to solve for the maximum velocity, but are unsure of where to begin with the body roll calculation. Another person comments on the thread but the original poster figures out the solution on their own. They ask for the thread to be deleted but also inquire about the solution process.
  • #1
Engineer91
2
0

Homework Statement


Not sure if this is the right place, it's a past paper problem - not really homework. Anyway, the question asks for the maximum velocity a car can take round a bend without sliding or rolling over.

Radius of Bend = 60m (R)
Friction Co-ef = 0.55 (u)
Width of car, (tyre to tyre)=1.8m
C.G. position = 0.75m

Homework Equations


For the sliding part, it's just simple Newtons laws centrifugal (centripetal-always get mixed up) force is (m*v^2)/R.

For traction force, =u*m*g.

I have no idea where you would begin with the body roll - I assume that suspension is not taken into account since no data for that is given, and therefore assume that the force required for tipping a rigid body box 1.8*0.75 is needed.

The Attempt at a Solution



For the sliding, I took the maximum velocity of cornering as when the traction force is equal to the centripetal.

From which,

Velocity v=sqrt(R*u*g), = 17.99m/s, 64.77km/h

For the roll, I'm not sure where to begin, there is no mass given in the question, I take it has something to do with using torques and moments... ?
 
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  • #2
Never mind, being an idiot. Torque cw = torque ccw, mass cancels out...

Mods can delete this thread.
 
  • #3
Before this topic is deleted how did you go about it cos I'm also stuck on that question?
 

1. How does body roll affect a vehicle's cornering ability?

Body roll, or the tilting or leaning of a vehicle during cornering, can significantly impact a vehicle's handling and stability. When a vehicle experiences body roll, the weight distribution shifts to one side, causing a decrease in the tire's contact with the road. This results in reduced grip and traction, making it more difficult for the vehicle to maintain its trajectory and increasing the risk of oversteer or understeer.

2. What factors contribute to body roll in a vehicle?

There are several factors that can contribute to body roll, including the vehicle's weight distribution, suspension design, and tire grip. A higher center of gravity, heavier weight, and softer suspension can all increase the likelihood of body roll during cornering. Additionally, tires with lower grip levels or underinflated tires can exacerbate body roll.

3. How can body roll be minimized or improved?

To reduce body roll and improve a vehicle's cornering ability, a few measures can be taken. These include lowering the vehicle's center of gravity by installing a sportier suspension or adding a sway bar, which helps to distribute weight more evenly during cornering. Additionally, ensuring proper tire pressure and using high-performance tires with good grip can also help minimize body roll.

4. Is body roll always a bad thing for a vehicle?

While body roll can negatively impact a vehicle's cornering ability, it is not always a bad thing. In some cases, a slight amount of body roll can actually improve a vehicle's handling by allowing the suspension to absorb bumps and maintain better contact with the road. However, excessive body roll can be dangerous and should be addressed through proper vehicle maintenance and modifications.

5. How does body roll affect different types of vehicles?

Body roll can affect different types of vehicles in varying ways. Generally, taller and heavier vehicles, such as SUVs and trucks, are more prone to body roll due to their higher center of gravity. On the other hand, sports cars with lower centers of gravity and stiffer suspensions may experience less body roll, resulting in better cornering ability. However, the impact of body roll also depends on the design and engineering of each specific vehicle.

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