How to Calculate Forces Leading to Disk Failure?

[pmlapl]

I would like to be able to calculate the forces on a spinning disk to determine the rpm it will fly apart given its dimensions and the mechanical properties of the material it's made of. I understand centripital and centrifugal forces. However, I'm not understanding how I to set up the problem to calculate the forces that would go beyond the yield strength of the material. Suggestions, ideas, formulas? Thanks for the help.

 

[pallidin]

It's a good question that, fortunately, has been well studied.

I am not competent enough to give you a direct answer, but I do know that Googling the term "flywheels" will present to you many hours of interesting info.

One "obvious" note: high rpm disks are extremely dangerous due to their instability/fragmentation potential which CAN RESULT IN A LETHAL ENVIRONMENT.

Treat this subject with considerable respect of the potential hazards should you wish to experiment with it.

Anyway, googling flywheels will give you some great info.

 

[minger]

There was actually recently a post regarding this same thing. If you cannot find it here, do a google for "Disk Burst", which will help you calculate the radial and circumferential forces generated by spinning.

 

[pmlapl]

Thanks much. I'll try that.