We describe a modification of the traditional cosθaccelerator magnet design that substantially reduces the cost ofmanufacture of accelerator magnets. Instead of the Rutherford typecable, a round multi-strand cable is used. This cable is placed inprecisely formed grooves in cylindrical surfaces or flat plates that arethen nested together to form the coil assembly. Cost reductions areachieved by the elimination of expensive coil end parts, coil wedges andspacers, collars, and coil molding equipment. Also, conductor stressmanagement is obtained by having each conductor supported in its owngroove and thus there is no need for application of azimuthal pre-stressto the coil. Thus, coil sizing measurements and collaring pressoperations are eliminated. We describe an example design for such amagnet to operate at 6.6 T and show a performance and cost comparison tothe 6.6 T dipole that was developed for use in the SSC
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