The Catenary Equation - HP -22S Owner's Manual

I
EVALI
I
INPUT
1
I
INPUT
1
I
INPUT
1
I
INPUT
1
I
INPUT
1
H?5.0000
V?34.0000
T?0.7201
A?43.0000
G?32.2000
Y= 13.3491
Retains all variable val-
ues, calculates
maximum altitude.
The Catenary Equation
The curve formed by suspending a flexible cable from two points is
called a
catenary,
and is defined by the two equations:
Y=AXCOSH(X+A) (Equation #1)
L=2xAxSINH(X+A)
(Equation #2)
where A
L
X=
¥=
the height at the midpoint (the lowest height).
the cable length.
the horizontal distance from the midpoint.
the height at any X-value except X
=
o.
Entering the Equations. Press.1
EQUATIONS
I, then [YJ (if necessary)
until the HP-22S displays
TYPE NEW EQN.
Type equation #1 and
press
I
INPUT
I.
Press [YJ, type equation #2, and press
I
INPUT
I.
8: Additional Examples 129