40
The length L of rope that creates this sag is
expressed by the following equation.
When a = 0.846 and b = 2, find the rope sag D and
the rope length L.
* The value a is called the catenary factor, and
determines the shape of the curve.
D = acosh
2a
a
b
-
L = 2asinh
2a
b
Operation Display
0.846
0.846
0.846
2 2
<Example 1>
The curve that forms when a rope hangs from two fixed points is called a "catenary",
and the sag D of the rope can be expressed using a hyperbolic function.
0.846
0.846
2
2 2
Catenary
b (width between fixed points)
Sag D
Hyperbolic Functions
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