226 KANSAS UNIVERSITY QUARTERLY. 
Cc 2S, sip rese 
hie (e ec +e c )—e. 
2 
And from the simple catenary we have 
1 (/ OK —OK 
Pik +(e —-e )—. 
But, as before 
pees 
c 
Ore 
c 
Then substituting 
BM I OM OK 
ee Cm ee 
where c is the ratio OM : OK, which is easily found. 
CASE II.—-SUPPORTS AT UNEQUAL HEIGHTS. 
(a) Given the fixed abutments and 1, the length of the cord, to find 
the level to which the curve will fall and to plot the catenary. 
| 
ly 
Fig. g shows the abutments as assumed at a distance apart D, 
and a difference of level v. 
For this case we may discover the relation 
—_ eo 
