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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

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
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: 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.
Transcribed Image Text:**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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