Power series stress analysis of solenoid magnets

An analytical solution for the stress analysis of superconducting solenoids is given which reflects the full spatial variation of Lorentz body forces and includes shear stress components. The solution is based on power series expansions of the Lorentz body forces and the displacements which in turn gives the strains and stresses, including shear stress components. This solution is applicable to the windings and reinforcement layers of magnets and is compared to a finite element method using a 7 T sample magnet with reinforcement