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This paper describes the physical design of a 5.5 T central field, 300 mm room temperature bore, High Gradient Superconducting Magnetic Separation (HGMS) magnet for kaolin. The magnet has been designed and is under construction at the Institute of High Energy Physics (IHEP), Chinese Academy of Sciences. The first part of the paper introduces the size of the superconducting coil. The inner diameter of the coil is 400 mm, the height is 815 mm, and the current is 150 A. The central and maximum magnetic fields are 5.5 T and 5.6 T, respectively. By adding an iron shield the magnetic field is limited to 50 G in a radial distance of 1.0 m and an axial distance of 1.2 m. The second part analyzes the coil stress in process of winding, cool-down and charging. The winding pre-stresses applied on the coil and the bandage are 70 MPa and 100 MPa, respectively. The maximum hoop stress of the coil is limited to less than 150 MPa and at the same time the coil does not take off from the bobbin.