Symbolic relationship between the input and output load

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Homework Statement


A testing device has the applied load located at the end of a loading bar. The loading bar is connected by a pin to the post. Find the symbolic relationship between the applied load(the "input" load) and the effective load applied the specimen(the "output" load).

Homework Equations


Free Body Diagram
∑Fy = 0
∑Fy = Fs + Piny - P = 0

The Attempt at a Solution


So I drew a free body diagram of the loading bar, but I'm not sure if it's correct. I tried to think about what the relationship might be, but all I can see from my diagram is that the input load is equal to the effective load + the pin force in the y direction. Any help with this would be appreciated!
Hand-drawn free-body diagram of a vertical loading bar labelled FBD of Loading Bar, with force Fs acting right at the top, pin forces Pin x and Pin y at a pin near the middle, and load P acting down at the bottom.
Hand-drawn free body diagram on grid paper of a loading bar pinned to a vertical post, with a specimen below, lengths L1 and L2 marked either side of the pin, and load P shown downward at the right end.
 

Discussion

Does it help if you consider the loading bar as a lever?
 

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