04/04/2020
I'm sitting down to do some structural analysis before finally sending them out for quote and manufacturing. Its overkill as I've already built and tested them under real conditions, but I'm a nerd and this is fun. This gives me insight into where the high/low stress points are and therefore where I can add/remove material to increase the stiffness/strength while reducing the weight.
One of the trickiest things about structural analysis of a fast, dynamic event like a skater dropping off a roof is understanding the impact force. The amount of energy dissipated during impact is easy to calculate. Kinetic energy is 1/2*mass*velocity^2. Downward velocity can be easily calculated: v=square root(2*gravity*height).
Worst case scenario, a 100kg (220lb) skater jumping the leap of faith 5.7m (18'8") drop. Downward only velocity = 10.6 m/s (24 mph).
Downward energy=5618 Joules, for comparison a 100mph baseball delivers 140J, 9mm bullet 467J, and a 12 gauge shotgun blast=4453J.
So the skates/skater must absorb more energy than a shotgun blast to land the leap of faith. We've now got all the info we need right?
Wrong. I need a force value to apply (in pounds or Newtons). To get that I need to know how much time was utilized to dissipate that energy. It's less than one second, but is it closer to 0.05s or 0.5s? That could vary the force by ~10x.
This is where the skill of a professional skater comes in. They can stretch out the time duration of the impact as much as possible to decrease the impact force. Sadly this is an unknown to me. I'd need some high speed video footage or some accelerometers on a skater to measure this impact time.
Another way to look at the problem is: how much force can the human body endure? It turns out there's lots of good research on this for airplane ejection seats and parachutes. That indicates the upper limit is around 40Gs before severe spinal injury occurs. Given the known velocity of 10.6m/s, 40G=0.27s of impact time, or a 20G = 0.53s.
To be conservative I'll use 40G. F=m*a; F=100kg*40G= 4000N.
There we finally have our force input to the analysis :) @ San Francisco, California