A system and methods are disclosed herein for modeling a mechanical system having body elements movable in at least two dimensions in a graphical modeling environment. The system and methods described herein allow constraints on body elements movable in at least two dimensions in the mechanical system to be generalized and represented by a single block in the graphical modeling environment. The system and methods described herein simplify the modeling of a mechanical system by allowing a user to construct a definition of generalized constraints through a connectivity table. Thus, it is possible to model a mechanical system in a graphical modeling environment with less than all the body elements represented by blocks in a graphical model.