15

DESIGN OF ICE BOOMS

y

Flow

H

d mid-span

T1

V1

L tan θ

θ

x

H

P = Uniform

T0

V0

L

Calculation of main

Assuming a parabolic shape and an inextensible cable (Leonard

cable tension

1988), the relationship among the unstressed length *S*0, the sag

ratio *s*, and the perpendicular chord length *L *may be approxi-

mated by:

8

1

(7)

3

2

The *x*-component of the load *H *along the boom cable is constant

and is given by:

(8a)

8*s*

The *y*-component of the load *V *in the main cable at any horizontal

distance *x *is given by:

1- 2

(8b)

2

Equations 8a and 8b can be combined to give a relationship that

approximates the resultant tension, *T*, at any point *x*:

2

2*x *

1 + tan θ + 4*s *1 -

(9)

8*s*