CIVIL ENGINEERING FORMULAS

(Frankie) #1

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
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