d at the top out equal tensions T in the two wires. All in the came vertical plane.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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### Problem Statement

**2.13** The resultant of three tensions in the guy wires anchored at the top of the tower is vertical. Find the unknown but equal tensions \(T\) in the two wires. All three wires and the tower are in the same vertical plane.

### Diagram Explanation

The diagram shows a tower with three guy wires extending from the top. Here's a detailed description:

- The tower is represented as a vertical line on the right side.
- Three wires are labeled:
  - The middle wire is vertical and labeled with the tension \(T_j\).
  - Two inclined wires are labeled with equal tensions \(T\).
- The wires meet at a common point at the top of the tower.
- The inclined wires form angles with the ground:
  - The left wire makes an angle of \(60^\circ\).
  - The right wire makes an angle of \(45^\circ\).
- A horizontal line represents the ground level.

This setup visually illustrates how the tensions in the wires balance to keep the resultant force vertical.

### Objective

Find the value of the unknown but equal tensions \(T\) in the inclined wires.
Transcribed Image Text:### Problem Statement **2.13** The resultant of three tensions in the guy wires anchored at the top of the tower is vertical. Find the unknown but equal tensions \(T\) in the two wires. All three wires and the tower are in the same vertical plane. ### Diagram Explanation The diagram shows a tower with three guy wires extending from the top. Here's a detailed description: - The tower is represented as a vertical line on the right side. - Three wires are labeled: - The middle wire is vertical and labeled with the tension \(T_j\). - Two inclined wires are labeled with equal tensions \(T\). - The wires meet at a common point at the top of the tower. - The inclined wires form angles with the ground: - The left wire makes an angle of \(60^\circ\). - The right wire makes an angle of \(45^\circ\). - A horizontal line represents the ground level. This setup visually illustrates how the tensions in the wires balance to keep the resultant force vertical. ### Objective Find the value of the unknown but equal tensions \(T\) in the inclined wires.
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