Answered: A cable with supports at the same…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A cable with supports at the same elevation has a span of 300m. The cable weighs 75 N/m and the sag at midspan is 75 m. Determine The length of the cable.

Expert Solution

Step 1

Give data:

The length of span, a = 300 m.
The weight of the cable, w = 75 N/m.
The sag at mid of span, h = 75 m.

Write the parabolic expression to calculate the length of the cable.

$L = \frac{1}{2} \sqrt{a^{2} + 16 h^{2}} + \frac{a^{2}}{8 h} \ln \frac{1}{a} (4 h + \sqrt{a^{2} + 16 h^{2}})$

Here, h is the sag in cable and a is the span of cable.

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