270 CHAPTER TEN
Length of parabolic arc LCis
(10.79)
(10.80)
Supports at Same Level
In this case, fLfRf,h0, and abl/2. The horizontal component of
cable tension Hmay be computed from
(10.81)
The vertical components of the reactions at the supports are
(10.82)
Maximum tension occurs at the supports and equals
(10.83)
Length of cable between supports is
(10.84)
(10.85)
If additional uniformly distributed load is applied to a parabolic cable, the
change in sag is approximately
(10.86)
For a rise in temperature t, the change in sag is about
(10.87)
whereccoefficient of thermal expansion.
f
15
16
l^2 ct
f (5 24 f^2 /l^2 )
1
8
3
f^2
l^2
f
15
16
l
f
L
5 24 f^2 /l^2
l 1
8
3
f^2
l^2
32
5
f^4
l^4
256
7
f^6
l^6
L
1
2 B
1
wol
2 H
2
H
wo
sinh
wol
2 H
TLTR
wol
2 B
1
l^2
16 f^2
VLVR
wol
2
H
wol^2
8 f
a
1
6
wo
H
2
a^3
LLC
a
2 B
1
woa
H
2
H
2 wo
sinh
woa
H