
CALCS	BAS015 CATENARY ANALYSIS

NOTATION
K	stiffness
L	cable length (0 if not known)
P1 P2	forces, at end points (P1=0 if not known at input)
theta1,2	cable inclinations
w	line force (weight per unit length)
X1,Y1	coords of cable end point
X2,Y2	coords of cable end point
x11,x21	coords estimate (non-dimensional)
Xo	catenary origin

APPLICATION

Chain, rope or cable with significant self weight, fixed at both ends

OUTPUT

connections forces

THEORY

Newtons Method

GUIDANCE

The cable length L or force P1 must be non zero.
In the present formulation it is necessary to input estimates of the points X11 & X12 on the non dimensional catenary curve.
If the program fails, re-try with new estimates.


INPUT FORMAT
DAT015	title
Case	X1	Y1	X2	Y2	x11	x21	L	P1	w
en	t	er	tab	de	lim	it	ed	da	ta
ENDDAT
EXAMPLE
Input
DAT015	example
Case	X1	Y1	X2	Y2	x11	x21	L	P1	w
1	0.43	0.41	0.85	0.69	0.4	0.8	0	5.3	32.5
ENDDAT
Output
OUTPUT
Case	theta1	theta2	P1	P2	Xo	L	x1	x2	K
1	33.632	33.749	6675.8	6684.9	-106.28	0.50478	0.62392	0.62637	-0.037698
END015

NOTATION

APPLICATION

OUTPUT

SEE ALSO

THEORY

GUIDANCE

INPUT FORMAT

EXAMPLE

Input

Output