Calculating load on a shaft 1

[Alan Lowbands]

Hi Gents,

Could someone please help with this problem.

I have a shaft that need to locate into a socket.
The shaft is slightly bent and needs to be guided into the socket, both have a 45 degree lead machined on them.

I have restrained the shaft at the bottom and applied a distributed force to the side and got a figure of 60kgf to move it 0.5mm.
How do I calculate the vertical load acting on the 45 degree lead to move the shaft the same amount.

I have tried a few things including using a buckling case but got weird results.
As you can see I'm not a stress guy.

Any help would be appreciated.
Regards
Alan