Vacuum pipe deflection

Mariusz Juchno, Paolo Ferracin, Paolo Fessia

28 January, 2014

Vacuum pipe cross-section

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Luca Dassa, Rafael Fernandez-Gomez, EN-MME-ES

Q1 Q2, Q3

Deflection assumptions

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Q1 Q2, Q3Mass [kg] 515.5 290.9Length [m] 8.4 8.4Mass/m [kg/m] 61.4 34.6Load q [N/m] 601.4 339.4Tube OD [m] 0.147 0.147Tube TH [m] 0.004 0.004Tube mom. inertia [m4] 4.60E-06 4.60E-06Tube E [GPa] 196 196

• 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 L2 = L1/2

 

 

Area moment of inertia

20 30 40 50 60 70 80distance to IP (m)

Q1 Q3Q2a Q2b

MC

BX

MC

BX

MC

BX

CP D1

Q: 140 T/mMCBX: 2.1 T 2.5/4.5 T mD1: 5.6 T 35 T m

4.0 4.0 4.0 4.06.8 6.8 6.31.2 1.2 2.2

SM

𝐼=𝜋4

(𝑟 𝑒𝑥𝑡4 −𝑟 𝑖𝑛𝑡

4 )

1

2

Q2 Wmax = 4.9 mm

Q1 Wmax = 0.5 mm

Q3 Wmax = 0.3 mm

Q1 Wmax = 43.3 mm

Q3 Wmax = 24.4 mm

Q1 Wmax = 1.1 mm

Q3 Wmax = 0.6 mm

Deflection

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1

2

 

 3

4Transport or assembly

Transport or assembly

Tube support

5

Support

28/01/2014