I have got problem with define forces in simple model. I need to combine forces FA and FC by one equation in way that point B will be in neutral position (still in one position. This is some kinde of regulation system. Thanks for any help.
Apply 1 load in the first step. Then apply the other load in the second step and reduce the step size appropriately for your needed resolution. Plot the vertical displacement of the node associated with B. See when it doesn't move. I hope this helps.
If you mix and match these equations you should be able to develop a closed form solution. Remember beam theory makes a small deformation assumption. Good Luck.