Beta Clamp Sketch 14 bolts Cooling Tubes Slanted

Beta Clamp Sketch 1/4” bolts Cooling Tubes * Slanted Edge on top portion of clamp allows for expansion in both winding directions. Belleville Washers 3/8” Bolts Exploded Unexploded

Benefits of Beta Clamp • Allows for expansion of winding both vertically and horizontally through Belleville washers and the shape of the connection between the upper and lower portions of clamp. • All the Clamps are identical. (One design for all) • Pre and post potting bolts sizes will be used. The post-potting bolts will have slightly undersized shanks to ensure sliding spacing between the clamp pieces. • Cooling Tubes are easily routed around and under the clamps (less tubing needed as less “crisscrossing” is needed. • The use of “moldable epoxy” between the clamp and winding (shown in FEA model) eliminates the problem of assembling the planar faces of the clamp onto the curvature of the modular coil.

Beta clamp (FEA Models) Note: Corners of top portion of the clamp were removed due to contact modeling issues in mechanica 1/4” bolts Spring Stiffness = 48, 000 lbf/in 3/8” bolts Bolted Connections Case # 1 Spring Stiffness = 24, 000 lbf/in Spring Connections Case #2

VM Stress Case #1 (delta T only)

VM Stress on bolts Case #1 Lower 3/8” bolt fitted in Tee 3/8” center bolt 1/4” side bolt

VM Stress on Clamp Case #1 Top Hole on Side Piece Top Piece Side Piece

Overall Displacement (Case #1) Approx. . 0. 0004” separation on top Approx. . 0. 001” separation on sides

VM Stress Case #2 (delta T only) 3/8” center bolt Top half of clamp Note areas where springs are attached produce large stress (NOTE: Stress is similar to case #1, correct spring stiffness ? )

Overall Displacement (Case #2)