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Determine the magnitude of the pin force at C given θ = 23° and P = 52 lbs.

Determine the magnitude of the pin force at C given θ = 23° and P = 52 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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Determine the magnitude of the pin force at C given θ = 23° and P = 52 lbs.

This image presents a mechanical linkage diagram consisting of multiple connected bars labeled A, B, C, D, E, and F. The setup illustrates a complex linkage system attached to a vertical wall on the left side of the diagram. **Description of Components and Geometry:** - **Bar A** is fixed horizontally to the vertical wall, measuring 8 inches in height from the base where it connects. - **Bar B** connects perpendicularly to the top of Bar A, extending horizontally for 2 inches. - **Bar C** is connected to Bar B and extends vertically downwards, parallel to Bar A. - **Bar D** is connected to the right end of Bar B, extending horizontally for 12 inches. A joint or pivot point, labeled as J, is located 6 inches along Bar D from the left side. - **Bar E** is connected to the right end of Bar D, forming a toggle mechanism with Bar C. - **Bar F** is the final section, extending from the rightmost pivot point with a rotational motion indicated by a red arrow. The angular movement of Bar F is denoted by the Greek letter theta (θ). **Measurements:** - The horizontal sections, namely B and D, measure 4 inches and 12 inches, respectively. - The joint J in Bar D is precisely midway at 6 inches from the starting point at the left. - Despite the intricate design, all bars appear to be interconnected with pivot joints allowing rotational movement at each connection point. - An angled force or motion is applied at point F, indicated by the letter P, demonstrating the mechanical interaction controlled by angle θ. This diagram serves as a detailed study of mechanical linkage, showcasing the movement and force transmission properties of such systems in applied mechanics.
Transcribed Image Text:This image presents a mechanical linkage diagram consisting of multiple connected bars labeled A, B, C, D, E, and F. The setup illustrates a complex linkage system attached to a vertical wall on the left side of the diagram. **Description of Components and Geometry:** - **Bar A** is fixed horizontally to the vertical wall, measuring 8 inches in height from the base where it connects. - **Bar B** connects perpendicularly to the top of Bar A, extending horizontally for 2 inches. - **Bar C** is connected to Bar B and extends vertically downwards, parallel to Bar A. - **Bar D** is connected to the right end of Bar B, extending horizontally for 12 inches. A joint or pivot point, labeled as J, is located 6 inches along Bar D from the left side. - **Bar E** is connected to the right end of Bar D, forming a toggle mechanism with Bar C. - **Bar F** is the final section, extending from the rightmost pivot point with a rotational motion indicated by a red arrow. The angular movement of Bar F is denoted by the Greek letter theta (θ). **Measurements:** - The horizontal sections, namely B and D, measure 4 inches and 12 inches, respectively. - The joint J in Bar D is precisely midway at 6 inches from the starting point at the left. - Despite the intricate design, all bars appear to be interconnected with pivot joints allowing rotational movement at each connection point. - An angled force or motion is applied at point F, indicated by the letter P, demonstrating the mechanical interaction controlled by angle θ. This diagram serves as a detailed study of mechanical linkage, showcasing the movement and force transmission properties of such systems in applied mechanics.
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