Joint Constraints
I had difficulty with joint constraints, when I constrained a number of joints together. What happened is, static equilibrium was not satisfied for the model. The lateral loads times the moment arm about the base (a point) did not equal the reaction loads about the same base (a point). This is pretty easy to check, by putting a single load on the structure.
So, if I use joint constraints, I will check that these constraints have not extracted some moment out of the problem, and this could be substantial. What I ended up doing is using rather stiff spring connectors between joints rather than joint constraints between joints.