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Determine the magnitude of the pin force at C given  θ = 18° and P = 57 lbs.

Determine the magnitude of the pin force at C given  θ = 18° and P = 57 lbs.

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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Question

Determine the magnitude of the pin force at C given  θ = 18° and P = 57 lbs.

### Diagram Explanation: This image depicts a mechanical linkage system consisting of several connected bars, designated with the letters A, B, C, D, E, and F. The system also includes a wall, to which the bar A is connected at the lower end. The linkage is primarily horizontal in orientation, and the lengths and positions of the bars are specified. - **Bar A**: Vertically oriented and attached to the wall, measuring 8 inches in height. - **Bar B**: Connected to the top end of bar A at the wall and extends horizontally 4 inches. - **Bar C**: A horizontal bar connected to bar B, measuring 12 inches in length. - **Bar D**: Connects at a right angle to the end of bar C and is 6 inches in length. - **Bar E**: This bar connects back horizontally towards the structure, parallel to bar C, and measures 4 inches. - **Bar F**: Positioned at the end of bar D, this is the outermost bar in the system with the end point labeled as F. The system forms a parallelogram-like structure, where the point J is marked along bar C, equidistant from the ends of the bar. ### Key Elements: - **Point P**: This point is at the end of bar F and is subjected to a force indicated by a red arrow. The force acts at an angle, theta (θ), relative to the horizontal line extending through the system. #### Dimensions: - Vertical spacer between bar A and bar B: 2 inches. - Bar C: 12 inches. - Bar D: 6 inches. - Horizontal segments (B and E): Each 4 inches. - Total vertical dimension from the bottom of A to the connecting point of B: 8 inches. This kind of mechanical configuration could be part of a lever or linkage analysis problem, focusing on how forces are transferred through the system and how the force at point P affects the mechanical advantage or output of the system.
Transcribed Image Text:### Diagram Explanation: This image depicts a mechanical linkage system consisting of several connected bars, designated with the letters A, B, C, D, E, and F. The system also includes a wall, to which the bar A is connected at the lower end. The linkage is primarily horizontal in orientation, and the lengths and positions of the bars are specified. - **Bar A**: Vertically oriented and attached to the wall, measuring 8 inches in height. - **Bar B**: Connected to the top end of bar A at the wall and extends horizontally 4 inches. - **Bar C**: A horizontal bar connected to bar B, measuring 12 inches in length. - **Bar D**: Connects at a right angle to the end of bar C and is 6 inches in length. - **Bar E**: This bar connects back horizontally towards the structure, parallel to bar C, and measures 4 inches. - **Bar F**: Positioned at the end of bar D, this is the outermost bar in the system with the end point labeled as F. The system forms a parallelogram-like structure, where the point J is marked along bar C, equidistant from the ends of the bar. ### Key Elements: - **Point P**: This point is at the end of bar F and is subjected to a force indicated by a red arrow. The force acts at an angle, theta (θ), relative to the horizontal line extending through the system. #### Dimensions: - Vertical spacer between bar A and bar B: 2 inches. - Bar C: 12 inches. - Bar D: 6 inches. - Horizontal segments (B and E): Each 4 inches. - Total vertical dimension from the bottom of A to the connecting point of B: 8 inches. This kind of mechanical configuration could be part of a lever or linkage analysis problem, focusing on how forces are transferred through the system and how the force at point P affects the mechanical advantage or output of the system.
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