**Problem: Determining Tension and Reaction Components**Objective: Determine the tension in cable AB and the horizontal and vertical reaction components at pin C on bar AC. Show all calculations.**Diagram Explanation:**In the diagram, we have a structural setup where:1. Point A is at the top of a vertical bar AC.2. A cable AB is attached to point A and extends to a point B, which is located horizontally 8 feet from C.3. There is a pin support at C which allows rotation but prevents translation, providing reaction forces.4. A horizontal force of 480 lbs is applied at point A, located 5 feet from the top of the bar.5. The bar AC has a total length of 15 feet (10 ft from C to where the force is applied plus 5 ft from the force to A).To solve for the tension in cable AB and the reactions at pin C, apply principles of static equilibrium considering:- Sum of forces in horizontal and vertical directions should be zero.- Sum of moments around any point should be zero.Ensure calculations are detailed, exhibiting step-by-step solutions for clarity and educational purposes.

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Answered: Determine the tension in cable AB and…

Determine the tension in cable AB and the horizontal and vertical reaction components pin C exert on bar AC. Show all work! A 5 ft 480 Ibs 10 ft 8 ft

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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Concept explainers

Cables

Cables are collections of wires, alternatively referred to as a cord, connector, or plug. They are one or more wires covered in a plastic covering that allows for the transmission of power or data between devices. The earliest use of recognizable electrical cable was the early commercialized telegraph lines. These were iron-made and tedious to produce and install cabling.

Question

**Problem: Determining Tension and Reaction Components**

Objective:
Determine the tension in cable AB and the horizontal and vertical reaction components at pin C on bar AC. Show all calculations.

**Diagram Explanation:**

In the diagram, we have a structural setup where:

1. Point A is at the top of a vertical bar AC.
2. A cable AB is attached to point A and extends to a point B, which is located horizontally 8 feet from C.
3. There is a pin support at C which allows rotation but prevents translation, providing reaction forces.
4. A horizontal force of 480 lbs is applied at point A, located 5 feet from the top of the bar.
5. The bar AC has a total length of 15 feet (10 ft from C to where the force is applied plus 5 ft from the force to A).

To solve for the tension in cable AB and the reactions at pin C, apply principles of static equilibrium considering:

- Sum of forces in horizontal and vertical directions should be zero.
- Sum of moments around any point should be zero.

Ensure calculations are detailed, exhibiting step-by-step solutions for clarity and educational purposes.

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