Circular profile in compression (material mechanics)

[idraftscience]

Homework Statement

A circular profile with radius r is subjected to opposing compressive forces Fc in the x and y directions as show. If the material has compressive strength sigma_c = 2000MPA, at what compressive force Fc will the profile experience failure?

Homework Equations

sigma_c = Fc/Area

The Attempt at a Solution

I'm not sure of the right way to approach this as I've only done compressive strength with forces normal to a rectangular or circular profile, not ones where the forces are on the edge of the circle as shown.

 

[Valkarie]

The area would be pi*r^2 right? So sigma_c = Fc/(pi*r^2). To find Fc, we'd just multiply both sides by pi*r^2, so Fc = sigma_c*(pi*r^2). Therefore the compressive force Fc will be 2000MPa*(pi*r^2)