15
DESIGN OF ICE BOOMS
y
Flow
H
d mid-span
T1
V1
L tan θ
6. Definition sketch for
θ
ice boom loading and
geometry. A uniform
x
H
loading is assumed
P = Uniform
across the channel
T0
V0
width to produce a
parabolic shape.
L
Calculation of main
Assuming a parabolic shape and an inextensible cable (Leonard
cable tension
1988), the relationship among the unstressed length S0, the sag
ratio s, and the perpendicular chord length L may be approxi-
mated by:
S0 = L 1 + s2 + tan2 θ
8
1
(7)
3
2
The x-component of the load H along the boom cable is constant
and is given by:
pL
H=
(8a)
8s
The y-component of the load V in the main cable at any horizontal
distance x is given by:
pL
1- 2
x
V = H tan θ +
(8b)
2
L
Equations 8a and 8b can be combined to give a relationship that
approximates the resultant tension, T, at any point x:
2
2x
1 + tan θ + 4s 1 -
pL
T=
(9)
L
8s
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