1. S. Lassiter, P. Brindza, M. Fowler, E. Sun - Jefferson Lab G. Markham - NovaTech, B. Wands - Fermi Lab Abstract—Jefferson Laboratory is developing a set of innovative superconducting magnets for the 12 GeV upgrade in JLAB Hall C. We will report on the finite element structural analysis (FEA) of the force collar for the Super High Momentum Spectrometer Cosine Theta Dipole magnet. The force collar is designed with an interference fit and intended to provide enough pressure after cool down to operating temperature to counteract Lorentz forces acting on the dipole coil during operation. By counteracting the Lorentz forces and keeping the coil pack in overall compression, movement of the coils is expected to be minimized. The dimensional geometry of the cold mass is maintained in the commercial solid modeling code UG/I-DEAS while the magnetic field design is maintained in the commercial TOSCA code from Vector Fields. The three dimensional FEA was conducted in the commercial codes ANSYS and IDEAS. The method for converting the models and calculating the loads transferred to the structure is discussed. The results show the cold mass response to: force collar assembly preload, differential thermal contraction, and operational Lorentz loads. Evaluations are made for two candidate force collar materials and two candidate force collar designs. Material Properties` Property CoilAluminum 6061-T6 SS 304L Young’s Modulus GPa 56.572.2/78.5198/208 Possion Ratio 0.1750.320.29/0.28 Shear Modules GPA 24.127.375.6/80.2 Density x10 -3 kg/m 3 7.5872.70/2.737.86/7.93 CTE x10 6 /K 16.317.6310.35 Tensile Strength MPa TBD311/510727/1,725 Yield strength MPa TBD283/365250/700 Allowable peak stress MPa 150255/330225/630 D ESIGN C ONCEPT The design concept calls for a shrink fitted force collar to preload the keys and coils against the Lorentz forces of the energized magnet. The cold mass assembly is developed with room temperature interference between the force collar and the coil/keys substructure. This room temperature interference is enhanced upon further cooling down of the cold mass to liquid helium temperatures. The shape of the keys along with the difference in thermal contraction between the coils/keys and the force collar produces azimuthal and radial preloads upon the coils. Lorentz forces tend to compress the coils in the azimuthal direction, with the tendency of the coils to separate from the keys, and it also produces large outward radial forces at the midplanes. It is the intent that the force collar provides sufficient precompression and stiffness to maintain complete compressive stresses in the coil across the range of magnet operation. Authored by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-060R23177. SHMS 4.8 T Dipole Lorentz force at full current Cool down Radial stress Azimuthal stress Thermal contraction Radial stress Azimuthal stress Coil Motion Keys - Von Mises Stress Reverse view of end key Stainless Steel Keys Segmented Aluminum Force Collar. Cross section view Coil forces midplane Cold mass components Collar and Mesh Coils and Keys Node # 172 188 192 Compressive loading Collar Von Mises stress C ONCLUSION A finite element analysis of the force collar for the SHMS Dipole magnet of Hall C is presented. The design, evolving over several FEA studies, satisfies the requirements of maintaining coil compression, preventing unwanted gaps from developing, maintaining an acceptable of level of stress and meets the spatial requirements set forth by the layout of the SHMS within Hall C. The mechanically clamped, cryostable coil will greatly decrease the occurrence of unintended quenches in the magnet, and will result in a successful superconducting dipole magnet for JLAB’s 12 GeV experimental program within Hall C. Magnet Setting Current Density A-Turns/cm 2 Fx MN F Y MN Fz MN 11 Gev4736.75.293-2.318-1.193 Max Excitation 5300.08.031-3.398-1.793 TABLE I Lorentz Forces 4.6 mm 3.5 2.5 1.5 0.2 1.63 mm 1.87 2.58 3.52