I have a flexure problem. One of its ends is fixed to a frame (say F1) which is stationary (no rotation & no translation) and the other end is also fixed to another frame (say F2) which can move in translatory motion (rotation fixed & translation free). The flexure here is assumed to be a slender column.
On top of the flexure, F2 has a weight $W$ and is moved with a force $F$ in the horizontal direction causing a displacement of $y$ whereas at the bottom the flexure is held rigidly by F1 and doesn't allow any rotation or translation.
I want to find the displacement $y$ caused due to the forces $F$ and $W$.
Please help me solve this. Also, I request you to write the moment equation I need to consider here... and anything else I need to know.