CCT magnets are becoming more popular, especially as they provide support for each separate turn of a coils, thus significantly lowering the coil stresses and deformations. A four layer nested CCT dipole was designed at CERN as an R&D effort to study the possibility of using the CCT technology for such a complex magnet. Two pairs of layers produce dipole magnetic fields at 90° angles, allowing a 360° control over the resulting dipole field vector. In order to validate the design in terms of the mechanical strength and the allowed deformations, mechanical FEM models were needed. Three models, having different levels of geometrical details have been developed in the APDL language in the ANSYS software: a 3D model with periodic symmetry and two 2D models, one assuming very simplified geometry of the coils and the formers and the second one with real geometry of the coils and the formers. Realistic coils properties were accounted for via homogenization technique used to obtain average properties of the Nb-Ti strands and the cured resin. Orthotropic behavior of the coil was accounted for via rotations of the element coordinate systems in the 3D periodic model, and via anisotropic material properties for the detailed 2D model.The electromagnetic (EM) analysis was done for the full 3D model of 1.4 m long nested CCT dipole. The EM forces were mapped to the 3D periodic models and the 2D models. The mechanical analysis consisted of the cool-down to 1.9 K in the first step and subsequent application of the nominal Lorentz forces. In addition, behavior at 1.9 K without thermal strains but only EM forces was studied to compute the maximum coil deformations – important to be kept low for good field quality.All three FEM models have been successfully solved providing three estimations of the resulting deformations and stresses. The most loaded part was the interlayer insulation – due to the thermal strains and large torque between the layers, shear stresses above the safe level of 10 MPa were found. Another design was proposed to remove the possibility of the failure of the interlayer insulations via castellations in the formers. Further studies will include the full 3D model and a comparison to the periodic model, in order to find the most suitable boundary conditions for the periodic model. The detailed 2D model requires further developments in terms of electromagnetic force import. As the 2D model requires much less computational power w.r.t. the periodic 3D model, it shows a potential for more realistic geometrical modeling including the Nb-Ti strands and their Kapton insulation, to study the behavior of the interface between the strands, the cured resin, and the formers.