I am designing a cylindrical shaft that has a round disc at its top. I am hoping to seat this shaft in 2 radial bearings and couple to a motor. The image below gives an overview of the loading diagram. There is an axial force applied when the system is static, so I am aiming to calculate the equivalent radial force in the system to specify the radial bearings adequately to handle both radial and axial forces.
Can someone point me toward the correct beam theory to use for calculating what radial force the applied downward force would create on the bearings?
I have checked overhanging beam theory and cantilever beam theory, which point to a moment like this creating zero shear force, which I believe would mean 0 radial force, which doesn't make a lot of sense to me when I consider how the shaft would react to this downward force applied at a distance from the spin axis.
Let me know if you need more information, thank you