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Find the Force in Pin C: A 10k 3' 5' C B 6k 3' 8'

Find the Force in Pin C: A 10k 3' 5' C B 6k 3' 8'

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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**Finding the Force in Pin C** This problem involves determining the force at pin C in a structural system. The provided diagram represents a structure with members connected at points A, B, and C. ### Diagram Analysis: - **Members and Joints:** - Point A is a fixed point on the left side. - Point B is another fixed point located directly below C. - Point C is the pin whose force we need to determine. - **Loads and Forces:** - A vertical load of 10 kips (10k) is acting downward exactly 3 feet from point A. - A horizontal force of 6 kips (6k) is acting towards the left 3 feet above point B. - **Dimensions:** - The horizontal member from A to C is 5 feet long. - The vertical member from B to C is divided into two sections: - The lower section (B to C) is 8 feet. - The upper section (above point C) is 3 feet. ### Explanation of Constraints: - **Point A** can be assumed as a pin joint or a fixed support. - **Point B** is likely a pin support. ### Components of the Force: To find the force at Pin C, the following methods and principles can be applied: 1. **Equilibrium Equations:** The structure must be in static equilibrium, meaning: - The sum of all horizontal forces (ΣF_x) must be zero. - The sum of all vertical forces (ΣF_y) must be zero. - The sum of the moments around any point must be zero. 2. **Free Body Diagram (FBD):** - Identify all the forces acting on the structure. 3. **Solving for Forces:** - Use equilibrium conditions (ΣF_x = 0, ΣF_y = 0, and ΣM = 0) to solve for the unknown forces. By applying these principles, you can determine the force at pin C, ensuring the structure is balanced under the given loads.
Transcribed Image Text:**Finding the Force in Pin C** This problem involves determining the force at pin C in a structural system. The provided diagram represents a structure with members connected at points A, B, and C. ### Diagram Analysis: - **Members and Joints:** - Point A is a fixed point on the left side. - Point B is another fixed point located directly below C. - Point C is the pin whose force we need to determine. - **Loads and Forces:** - A vertical load of 10 kips (10k) is acting downward exactly 3 feet from point A. - A horizontal force of 6 kips (6k) is acting towards the left 3 feet above point B. - **Dimensions:** - The horizontal member from A to C is 5 feet long. - The vertical member from B to C is divided into two sections: - The lower section (B to C) is 8 feet. - The upper section (above point C) is 3 feet. ### Explanation of Constraints: - **Point A** can be assumed as a pin joint or a fixed support. - **Point B** is likely a pin support. ### Components of the Force: To find the force at Pin C, the following methods and principles can be applied: 1. **Equilibrium Equations:** The structure must be in static equilibrium, meaning: - The sum of all horizontal forces (ΣF_x) must be zero. - The sum of all vertical forces (ΣF_y) must be zero. - The sum of the moments around any point must be zero. 2. **Free Body Diagram (FBD):** - Identify all the forces acting on the structure. 3. **Solving for Forces:** - Use equilibrium conditions (ΣF_x = 0, ΣF_y = 0, and ΣM = 0) to solve for the unknown forces. By applying these principles, you can determine the force at pin C, ensuring the structure is balanced under the given loads.
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