1. MICE Collaboration Meeting at Frascati, Jun 26~29, 2005 Iron Shield Mounting Design Stephanie Yang

2. S Yang, 26-Jun-20052 Background to this design revision: The previous support for the Iron Shield has the following concerns and the new design must be able to overcome these concerns :- Its height to base width is so large that it is not considered stable for practical use. It sits there like a lollipop; New design must be stable enough that the iron shield will not topple due to any unexpected sideway force before it is assembled into the tracker solenoid. It requires constant use of overhead cranes during assembly to the tracker solenoid. There may be occasions when overhead crane is not available. The new design must be adaptive to smaller mobile lifting unit or fork lift etc.

3. S Yang, 26-Jun-20053 The existing design has the iron shield sitting on a frame structure before it is bolted to the Tracker solenoid cover plate via a set of spacers

4. S Yang, 26-Jun-20054 The revised design allows the shield to be suspended to the cryostat vessel via a set of “links and brackets”

5. S Yang, 26-Jun-20055 A support lug is welded onto the flange cover plate for connection to the 2 nd link-bar Main hanging bracket is welded on a patch plate (saddle) of 15mm thick by 40 degree wide which is in turn welded on the top of the tracker solenoid vessel These 2 lugs are welded directly to the iron shield The 1 st and 2 nd link bars (red & blue in diagram) are the main supporting structure for the iron shield. The link bars are free to rotate at both ends. This allows finer adjustment to be made to achieve the positional tolerance needed.

6. S Yang, 26-Jun-20056 Lifting of Iron Shield by mobile lifting unit Or Overhead Crane A fork lift truck, e.g.

7. S Yang, 26-Jun-20057 Once suspended, a further set of link blocks will be machined insitu. The shield will be connected and dowelled into the required positional precision level. Link Blocks (3 off) for positional fixing & registration Link Bars (2-off)

8. S Yang, 26-Jun-20058 The Iron Shield support is clear of the space envelop required by the Patch Panel

9. S Yang, 26-Jun-20059 An exploded view

10. S Yang, 26-Jun-200510 How safe is the support system? We believe it is very safe. A series of FEA calculations have been carried out to ensure that design is safe to use and allows easy assembly

11. S Yang, 26-Jun-200511 The FEA results (1) The Truss model –At the beginning when the Shield is being hung by the two link bars, the links behave like a bar, i.e. no bending moment. In this case study, all the links are modelled with truss elements

12. S Yang, 26-Jun-200512 Link bars modelled with Truss elements

13. S Yang, 26-Jun-200513 Displacement results

14. S Yang, 26-Jun-200514 The tightening of the links at the pivot points to take up and slack or positional adjustment for the shield means that these bars will behave between a truss and a beam (with bending moments and stresses). It is for this reason that the 4 links were modelled with beam elements to see if there is any build-up in stresses. The Beam model

15. S Yang, 26-Jun-200515 Link bars modelled with Beam elements

16. S Yang, 26-Jun-200516 When all the link bars are modelled as truss elements, i.e. no bending stresses Max. axial compression force in the truss members is 15710 N Max. Compressive stress is 8.72 MPa Max axial tension force in the truss is members is 11632N Max. tensile stress is 6.24 MPa Based on the self-weight of the magnetic shielding (~1.3 tonnes), the max. deflection (vertical drop) is 0.054mm Results indicate that majority of the weight is supported by the top 2 link bars When all the link bars are modelled as beam elements (allowing bending to develop): Max. axial compression force is 33,037N causing a stress of 18.5 MPa Max. tensile force is 24,500N causing a stress of 13.6 MPa

17. S Yang, 26-Jun-200517 FEA Result (2) The integrity of the tracker solenoid cryostat due to a large local load

18. S Yang, 26-Jun-200518 FEA model of the Tracker Module cryostat with the cover flange and the main suspension bracket. Saddle plate which would add strength to the vessel is not included in the model. The link bars are represented in the model by truss element – no bending effect

19. S Yang, 26-Jun-200519 Vertical load of 3 tonnes The applied load is more than twice the dead weight load of the Iron Shield which is 1.3 tonnes

20. S Yang, 26-Jun-200520 Vessel support position on both sides

21. S Yang, 26-Jun-200521 Maximum deflection at the support bracket is 0.43mm in Z direction

22. S Yang, 26-Jun-200522 Max. “drop” in Y direction at the truss (link bars) is about 1mm.

23. S Yang, 26-Jun-200523 Deformation enlarged by 16 times

24. S Yang, 26-Jun-200524 Max stress at the bracket is about 250 MPa. However this is due to a very concentrated bearing load from the truss element. In reality, the links transmit forces to the bracket in shear mode. The average shear stress is approx. 37 MPa (see page 27)

25. S Yang, 26-Jun-200525

26. S Yang, 26-Jun-200526 Max. local stress = 166 MPa at this corner – note that the saddle plate was not included in this model – a conservative assumption

27. S Yang, 26-Jun-200527 Max. axial load on the truss is 52000N. Since the links are connected to the bracket via a pin of diameter 30mm. The average shear stress thus transmitted is 52000 / (2 * π * 15 2 ) = 37 MPa

28. S Yang, 26-Jun-200528 Summary: The latest support design allows an easy and safe assembly of the Iron Shield to the tracker module; The purpose of the top link bars allows the Iron Shield to be suspended temporarily while the final positional adjustments are achieved by the 3 link blocks which are machined insitu for precision reason; They are then dowelled in to provide a safe and secure attachment to the tracker module. The FEA results show that both the link bars, the support brackets and the cryostat vessel are strong enough for the anticipated loads;