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!
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