MAGNETIC FORCES IN THE SIX-BLOCK ISABELLE MAGNET. Page: 3 of 4
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CRISP 72-20
-2 - ISA1BELLE PROJECT
A proposed method of construction involves a vertical split of the iron.
It is then necessary to know, if the coil forces are taken up by the iron, the
net force on the hohl s holding the iron together. Since there is no field in
the split, there is no attractive force between halves there. There is an at-
tractive force between the coils and the iron, however, which can be calculated
from the field at the air-iron interface. When MAGFLD is used to Fourier analyze
the field, the field is printed out at 40 intervals on the specified circle. The
energy density B /2uo at 8o intervals on a circle of radius 6.03 cm with a field
40 kG is given in Table II.
TABLE II
U u u
8, deg 106 J/m3 , deg 10 J/m 9, deg 106 J/3
0 0.0 32 0.9544 64 3.0940
8 0.0848 40 1.7229 72 3.1979
16 0.2364 48 2.0808 80 3.5680
24 0.7038 56 2.5981 88 3.5327
The horizontal attractive force on the iron per unit height is 6F /ay = u cos 8,
and the total force per unit length of magnet is
6.03 Tl/2
ucos edy=2 f u xd8 .
-6.03 0
Using Table II this is found to be 1.515 x 105 N/m = 10,383 lb/ft. The net
tension on the bolts is then the sum of the forces on the coils minus this or
49,536 lb/ft.
The vertical attractive force on the iron per unit length along the iron-air
interface is given by aFy/bx = u sin e. The total force per unit length of
magnet is
6.03 f/2
u sin 8 dx = 2 f u y d8 = 2.338 x 105 N/m = 22,874 lb/ft.
-6.03 0
The field in a median-plane split is not given by MAGFLD, but an estimate can be
made on the basis of saturable-iron program runs on previous similar magnets,
which show that the field is almost constant along the median plane. The average
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Morgan, G.H. MAGNETIC FORCES IN THE SIX-BLOCK ISABELLE MAGNET., report, January 1, 1972; Upton, New York. (https://digital.library.unt.edu/ark:/67531/metadc1027830/m1/3/: accessed April 23, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.