A method to perform tridimensional analysis and tridimensional synthesis of
machining tolerances is presented. The model relies on the small displacem
ent torsor concept and on the computer aided tolerancing approach. The link
between process planning and functional tolerances with torsor chains acco
rding to workpiece set-ups is exposed. An example shows how the model is us
ed to determine automatically geometrical variations of the workpiece knowi
ng geometrical variations of each part (part-holder, positioning devices, m
achined surfaces, etc.).