Suppose I have a beam and I would like to constrain it (two dimensional structure). At one end I've chosen to use support which constrains motion only in "x" and "y" direction (horizontally and vertically), but it doesn't prevent a body from rotation. Because of that, another beam's end have to be constrained as well. If I use the same type of support, the system would have four unknown and three equations. Is it still possible to solve this kind of system and how should I proceed with it? Would it be correct to split the problem in two cases and solve them separately, choosing the unknown resultants depending on the loading conditions?