Vacuum pipe deflection Mariusz Juchno, Paolo Ferracin, Paolo Fessia 28 January, 2014

Vacuum pipe cross-section 28/01/ Luca Dassa, Rafael Fernandez-Gomez, EN-MME-ES Q1 Q2, Q3

Deflection assumptions 28/01/ Q1Q2, Q3 Mass [kg] Length [m]8.4 Mass/m [kg/m] Load q [N/m] Tube OD [m]0.147 Tube TH [m]0.004 Tube mom. inertia [m 4 ]4.60E-06 Tube E [GPa]196 Assumptions: – Beam tube pre-assembled and then inserted after magnet assembly – Only the tube provides the stiffness – All components provide the load Considered beam cases: – Q2 – Q1, Q3 Note that L 2 = L 1 /2 Area moment of inertia 1 2

Q2W max = 4.9 mm Q1W max = 0.5 mm Q3W max = 0.3 mm Q1W max = 43.3 mm Q3W max = 24.4 mm Q1W max = 1.1 mm Q3W max = 0.6 mm Deflection 28/01/ Transport or assembly

Tube support 5 Support 28/01/2014