Parametric Analysis of Forces and Stresses in Superconducting Dipoles

We present an analysis of the electromagnetic forces and stresses in a dipole sector coil using analytical equations, evaluating their extent of application as a function of the geometrical layout. Since the superconductor degradation is related to the stress on the coil mid plane, the maximum stress achievable for a given layout as a function of the central field has been studied at coil short sample condition. Two different superconductors have been analysed: Nb-Ti and Nb$_{3}$Sn. In the last part, the effect of an infinitely permeable iron yoke on forces and stresses is presented. A comparison with stresses on some real dipoles used in particle accelerators has been carried out to validate the analytical approach.