Few weeks ago a neighbor manage to hit my bike with his car while the bike was parked next to a wall, check the picture.
One side of the handlebar was at the wall and the door of his truck hit the other end. He hit the bike while he was turning at the corner of the garage.
I'm wondering how fast he was when he hit the bike.
I guess I can use the "bending stiffness" and the centripetal force to check his speed. But I cannot find proper numbers for the aluminium strength.
May someone help me with this calculation?
I know it is a difficult problem. I'm wondering if it is possible to build up a simple model for this.
Assume that one end of the handlebar is fixed and one applies the force as an "end load". I've found this website, now I'm trying to find reasonable numbers to put in:
Next I have to estimate the load with a model for the car hitting the bike. Let's say I know the car mass and speed.
Almost all collision problems require some strong considerations about the collision time. Here I guess one could use the impulse theorem to estimate the average force.
The velocity would be the the length of the circular arc of the bent bar over the collision time, and the collision time should be about the reaction time of a normal person, about 0.2 s maybe?
I can check the mass of the handlebar. This give us the momentum, and using again the same collision time I would get the force to use as the load.
I know it is oversimplified, but does it makes sense? I'm wondering if the numbers will be consistent after I put all numbers in.
If it all works out, I would like to use it as a class exercise in the future.