Mechanical stresses in bonded plane helical solenoids with arbitrary external field

The paper deals primarily with the elastic stresses in homogeneous (bonded) plane helical solenoids which are inner members of multicoil systems. The terms `bonded' and `unbonded' are defined with regard to solenoid types and conditions under which they operate. Distinction is made between the treatment required for bonded and unbonded solenoids, the work of other authors being clarified in this respect. The case of an infinitely long homogeneous solenoid with non-zero external field is analysed and expressions for the stresses are derived. These formulae are sufficiently manageable to be used in the preliminary design study of real solenoid systems with some loss in accuracy. They are directly applicable under certain conditions for the stress analysis of real solenoids. A set of computed stress curves are included in an appendix.