Calculating Factor of Safety for Ring Interference with MSS Theory

[2slowtogofast]

I have a solid cylinder inside a ring. the r of solid cylinder is 1in and the r of ring is 2in the interference is 0.002in. I found the pressure to 22.5 kpsi.

I need to find the factor of safety against the static faliure of the ring, using MSS theory. to use MSS i need to find the principle stresses. could some one suggest how to do that knowing only the pressure

 

[nvn]

2slowtogofast: The PF rules state we are not allowed to tell you how to approach or solve your homework problem. See the required homework template that appears when you start to create a new thread in the homework forums. You must list relevant equations yourself, and show your work; and then someone might check your math. Perhaps see post https://www.physicsforums.com/showpost.php?p=2064680". By the way, you misspelled principal.