1. The figure shows a cable of weight w per unit length. It can be shown that the cable is described by y = ccosh in the indicated system of axes (the so-called catenary curve). The minimum tension in the cable occurs at y = c, and the maximum tension at A and B. These tensions are determined from the equations Tmin Tmax 15 m Determine the maximum- and minimum tensions in a cable over a span of 90m with a sag of 15 m, as shown in the figure. The weight per unit length is 45 Nm. Use the linear interpolation method and work to an accuracy of 1 decimal place. [Hints: (1) The unknown to be found is c. (2) c is a distance, and from the scale of the figure we expect it to be in the order of 100 m.] 90 m- VA we шув O
1. The figure shows a cable of weight w per unit length. It can be shown that the cable is described by y = ccosh in the indicated system of axes (the so-called catenary curve). The minimum tension in the cable occurs at y = c, and the maximum tension at A and B. These tensions are determined from the equations Tmin Tmax 15 m Determine the maximum- and minimum tensions in a cable over a span of 90m with a sag of 15 m, as shown in the figure. The weight per unit length is 45 Nm. Use the linear interpolation method and work to an accuracy of 1 decimal place. [Hints: (1) The unknown to be found is c. (2) c is a distance, and from the scale of the figure we expect it to be in the order of 100 m.] 90 m- VA we шув O
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![1. The figure shows a cable of weight w per unit length. It can be shown that the cable is described
by
y = ccosh
in the indicated system of axes (the so-called catenary curve). The minimum tension in the
cable occurs at y = c, and the maximum tension at A and B. These tensions are determined
from the equations
Tmin
Tmax
15 m
Determine the maximum- and minimum tensions in a cable over a span of 90m with a sag of
15 m, as shown in the figure. The weight per unit length is 45 Nm. Use the linear interpolation
method and work to an accuracy of 1 decimal place.
[Hints: (1) The unknown to be found is c.
(2) c is a distance, and from the scale of the figure we expect it to be in the order of 100 m.]
90 m-
VA
wc
wyb
O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85836af1-4c0d-435d-82f2-1b92079701bf%2F6a3c55ac-9841-4fdb-a02b-bdb4ad2ffb40%2Fhm4ad7.jpeg&w=3840&q=75)
Transcribed Image Text:1. The figure shows a cable of weight w per unit length. It can be shown that the cable is described
by
y = ccosh
in the indicated system of axes (the so-called catenary curve). The minimum tension in the
cable occurs at y = c, and the maximum tension at A and B. These tensions are determined
from the equations
Tmin
Tmax
15 m
Determine the maximum- and minimum tensions in a cable over a span of 90m with a sag of
15 m, as shown in the figure. The weight per unit length is 45 Nm. Use the linear interpolation
method and work to an accuracy of 1 decimal place.
[Hints: (1) The unknown to be found is c.
(2) c is a distance, and from the scale of the figure we expect it to be in the order of 100 m.]
90 m-
VA
wc
wyb
O
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