The calculations for a design I am doing are making me go round in circles. I have simulated the design but I cannot seem to resolve this mathematically and it is really bugging me!
Below is an image of the design - two levers with different moments connected to each other by a hinge at their ends. Each lever's pivots can slide from left to right. The system equilibrium is maintained by an actuator between the two levers exerting a static force. This force is what I am trying to calculate.
I believe I need to work out the moment on each lever (easy enough) and resolve for a torque around the hinge point where the two levers are connected. From here I can calculate the force on the actuator using a free body diagram. Calculating the moment around the hinge point however is proving tricky as it is not as simple as just adding the two moments together (so my simulations tell me).
Note. Currently I am only interested in the static force to keep system in equilibrium.
I would appreciate the help.