1. Supported by NSTX Centerstack Upgrade Project Meeting P. Titus October 19 2011 Aluminum Block Analyses

2. x z x y coordinate system 200 (Cartesian) Top view Load in Aluminum block (in coordinate system 200) FX = -203828.1 N FY = -111829.7 N FZ = -17760.17 N MX = 169.0026 N-m MY = -5506.380 N-m MZ = -12044.77 N-m FradialFverticalFtheta Han's Early Loads224-297 kN10-44 kN100 - 170 kN Titus (This Calc), Scenario 79 242.1 kN-25.5 kN184.8* Sri's 2009 Calc256.3 kN21.3 TFInPlane=242058 TFInPlane=TFInPlane*.2248 TFInPlaney=-25516.9 TFInPlaney=tfinplaney*.2248 momy=254831 !N-M momy=momy*.2248*39.37 TFOOPForce=168311.2*.2248 * this is 168*1.1 intended to apply the 10% headroom in PF current The 6 3/4 bolts should be preloaded to a minimum of 92 ft-lbs or 7375 lbs each to avoid cyclic loading. This produces a frictional restraint of 6*7373*.3 = 13275 lbs or 59052 N frictional restraint. Not enough to support the 184.8kN FX = 242058 N FY = 184800 N FZ = -25500 N MX = 0 N-m MY = 0 N-m MZ = 254831 N-m Han EQ 16 Ball End Struts, Welded Clevis Titus Calc, EQ 79 Spring Struts, Bolted Clevis Hand Calc **** SUMMATION OF TOTAL FORCES AND MOMENTS IN COORDINATE SYSTEM 5 NOTE: THE SUM IS DONE IN COORDINATE SYSTEM 5 FX = 139580.7 FY = 90927.03 FZ = 133837.8 MX = -1362.338 MY = 32135.61 MZ = 9598.212 SUMMATION POINT= 1.0624 2.4824 0.28466 Titus Calc, EQ79 Ball End Struts, Welded Clevis Vector Sum of FX and FZ 204,600N 193,377N243,340N Mz at Alum Block 12044.77 N-m 9598 N-m254831 N-m My at Alum Block 5506.38N-m 32135N-m0

3. 1.09m *** SUMMATION OF TOTAL FORCES AND MOMENTS IN COORDINATE SYSTEM 5 NOTE: THE SUM IS DONE IN COORDINATE SYSTEM 5 FX = 139580.7 FY = 90927.03 FZ = 133837.8 MX = -1362.338 MY = 32135.61 MZ = 9598.212 SUMMATION POINT= 1.0624 2.4824 0.28466 EQ79

4. ~1T Average Field Across Leg=.5T 130*3kA ~.5m 130kA*.5m*.5T = 195000N Load Inventory from Inside the Umbrella Structure

5. Bursting force from the inner TF components is the source of the radial finger loads. These are included in the loads from [1], [2]

6. Aluminum Block Tresca EQ #79 With PlasmaNo Plasma

7. Split Desired for Installation Can we get rid of this notch? Analyzed to date All the Block Clamp Bolts Pass Thru “Wing” CDR/PDR

8. Mat 1 Mat 5 Mat 40 Mat 5 Mat 2 Mat 10 Mat 11 Mat 14 Mat 15

9. Gaps Under the Bolt Heads –Used for Preload Gaps Between “Wing” and Umbrella Shell Gaps Between Block Flange and Umbrella Shell Gaps Between Block and Umbrella Shell Opening Gaps Between Block and Umbrella Shell Opening Gaps Between Block Flange and Umbrella Shell Gaps Under the Bolt Heads –Used for Preload Gap Elements Used in the Model

10. 304 Bar Stock Yield and 1.5 Sm is 33.6ksi

14. 25ksi Bolt Preload Run ablk12 Weld Allowable 14 ksi No PT 20 ksi with PT FEA simulates 3/8 Groove backed with a 3/8 Fillet

15. 25ksi Bolt Preload Preload Only Full Loading

16. Local Model EQ79 Global Model [2] EQ79 (25670 psi) Stress in Pascal Stress in psi Bending allowable is 34.6 ksi.

17. 1.87 mm Vertical Displacement with respect to the block 1.48 mm Vertical Displacement with respect to the block 0.5 mm Theta Displacement with respect to the block The differential motion in the theta Direction with respect to the block is.002727-.001207 =.001513. Global rotation needs to be subtracted –see below In the global model the umbrella structure rotates.001207/1.0624 =.001136 rad and the global displacement difference just from the global rotation is 1.57/1.0624*.001207 =.00187m and the difference is.00187-.00127=.000606m or.6mm. The comparison is then 1.513-.6 =.9mm vs.5 mm for the local model.