CERN is currently investigating the feasibility of a future collider - the Future Circular Collider (FCC) - as a potential successor of the Large Hadron Collider (LHC), providing scientists with a powerful discovery tool in the field of high energy physics. INFN developed the main 16 T Nb <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sub> Sn dipole of the FCC based on the cos-theta coil design. The baseline design of the superconducting magnet adopts the bladder-and-key concept and includes 4-layered asymmetric coils, an aluminum shell and a welded stainless-steel skin. The scope of this collaborative work between INFN, CERN, UPATRAS and FEAC, is to validate and further study the baseline design. This paper describes the design concept and the fully parametric multi-physics finite and boundary element (FEM and BEM) model. The baseline assembly parameters are presented while the study of geometrical, material and assembly parameters, unveils the optimized structure.