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> 13_0307090_CLN_01.doc

***TO: DISTRIBUTION***

***FROM: C NEUMEYER***

***SUBJECT: OUT OF PLANE LOADS ON TF FLAG***

SOLFI was used to calculate the vertical field seen by the TF flags due
to OH=24kA, PF1A=15kA, PF1B=20kA, PF2=20kA, PF3=20kA, PF5=20kA, and the
corresponding force with ITF=71.2kA.

As a simplifying assumption, the field due to the PF coils in the
opposite half plane was not included. Due to 1/r effects, this should be
reasonable.

The fields and forces were calculated at four elevations, namely the
inner edge of the inner tier flags, the outer edge of the inner tier
flags, the inner edge of the outer tier flags, and the outer edge of the
outer tier flags. These are referred to with suffixes 11, 12, 21, and
22, respectively.

The following curve shows the field contribution of the various coils,
and the total, at the inner edge of the inner tier flags (worst case).

![](media/image2.pct){width="5.996527777777778in"
height="3.609027777777778in"}

The following curve shows the total vertical field at the four
locations.

![](media/image3.pct){width="5.996527777777778in"
height="3.609027777777778in"}

The following table gives the forces at Bt=6kG.

  ---------- ---------- ----------- ---------- ---------- ---------- ----------
  R          R\'        Component   F1         ∑F1        F2         ∑F2

  (inch)     (inch)                 (lbf/in)   (lbf)      (lbf/in)   (lbf)

  3.8480     0.0000     Flag        334.5      0.0        192.3      0.0

  4.8480     1.0000     Flag        327.5      331.0      190.8      191.6

  5.8480     2.0000     Flag        319.6      654.6      189.0      381.5

  6.8480     3.0000     Flag        311.0      969.9      187.0      569.5

  7.8480     4.0000     Flag        302.1      1276.4     184.7      755.4

  8.8480     5.0000     Flag        292.9      1573.9     182.2      938.8

  9.8480     6.0000     Flag        283.8      1862.3     179.4      1119.6

  10.8480    7.0000     Flag        274.9      2141.7     176.5      1297.6

  11.8480    8.0000     Flag        266.3      2412.3     173.5      1472.6

  12.8480    9.0000     Flag        257.9      2674.4     170.3      1644.6

  13.8480    10.0000    Flag        249.9      2928.2     167.1      1813.3

  14.8480    11.0000    Flag        242.1      3174.2     163.7      1978.6

  15.8480    12.0000    Link        234.7      3412.7     160.3      2140.6

  16.8480    13.0000    Link        227.6      3643.8     156.8      2299.2

  17.8480    14.0000    Link        220.6      3867.9     153.2      2454.2

  18.8480    15.0000    Link        213.9      4085.2     149.7      2605.6

  19.8480    16.0000    Link        207.3      4295.8     146.0      2753.5

  20.8480    17.0000    Link        200.8      4499.8     142.4      2897.7

  21.8480    18.0000    Link        194.4      4697.5     138.7      3038.3

  22.8480    19.0000    Link        188.0      4888.7     135.1      3175.2

  23.8480    20.0000    Link        181.7      5073.5     131.4      3308.4

  24.8480    21.0000    Link        175.3      5252.0     127.7      3438.0

  25.8480    22.0000    Link        168.9      5424.1     124.1      3563.9

  26.8480    23.0000    Link        162.5      5589.8     120.4      3686.2

  27.8480    24.0000    Link        156.1      5749.1     116.8      3804.8

  28.8480    25.0000    Outer Leg   149.6      5901.9     113.2      3919.8

  29.8480    26.0000    Outer Leg   143.3      6048.4     109.6      4031.2

  30.8480    27.0000    Outer Leg   137.0      6188.5     106.1      4139.1

  31.8480    28.0000    Outer Leg   130.8      6322.4     102.6      4243.5
  ---------- ---------- ----------- ---------- ---------- ---------- ----------

The calculated fields are in general agreement with the results from HM
Fan's original ANSYS model, but it is difficult to check because only
the color plots are available from the ANSYS runs. HM is not able to
re-run his code from the earlier ANSYS version. It is noted that HM only
included the effects from OH and PF1A; the outer PF's were omitted.

A cross check was performed using another field solver for one of the
field calculations (PF2) and good agreement was found.

Connection scheme from end of flag to outer leg is complex. There is one
style of connector associated with the inner layer and two styles
associated with the outer layer. Bottom and top of machine are
identical. The following figures depict typical connection paths.

![](media/image4.pct){width="3.6243055555555554in"
height="3.8777777777777778in"}

![](media/image5.pct){width="4.664583333333334in"
height="2.6444444444444444in"}

Cc:

A Brooks P Heitzenroeder M Kalish M Ono J Schmidt

A Von Halle M Williams I Zatz