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The control rod CE passes through a horizontal hole in the body of the toggle system shown. Knowing that link BD is 250 mm long, deter- mine the force Q required to hold the system in equilibrium when ß = 20°.

The control rod CE passes through a horizontal hole in the body of the toggle system shown. Knowing that link BD is 250 mm long, deter- mine the force Q required to hold the system in equilibrium when ß = 20°.

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 Description:** **6.125** The control rod \( CE \) passes through a horizontal hole in the body of the toggle system shown. Knowing that link \( BD \) is 250 mm long, determine the force \( Q \) required to hold the system in equilibrium when \( \beta = 20^\circ \). **Diagram Explanation:** - The diagram features a toggle mechanism with various linked components: - A horizontal link \( AB \) measuring 150 mm. - A link \( BC \) measuring 200 mm. - A control rod \( CE \). - An external force of 100 N is acting vertically downward at point \( A \). - Link \( BD \) is shown with a vertical length of 35 mm from point \( D \) to the base, with \( BD \) itself being 250 mm long. - The angle \( \beta \) between link \( BC \) and the horizontal is provided as \( 20^\circ \). - The force \( Q \) acts horizontally at point \( E \) to maintain equilibrium. **Objective:** - Calculate the force \( Q \) required to maintain equilibrium in the system with the given configuration and external force applied.
Transcribed Image Text:**Problem Description:** **6.125** The control rod \( CE \) passes through a horizontal hole in the body of the toggle system shown. Knowing that link \( BD \) is 250 mm long, determine the force \( Q \) required to hold the system in equilibrium when \( \beta = 20^\circ \). **Diagram Explanation:** - The diagram features a toggle mechanism with various linked components: - A horizontal link \( AB \) measuring 150 mm. - A link \( BC \) measuring 200 mm. - A control rod \( CE \). - An external force of 100 N is acting vertically downward at point \( A \). - Link \( BD \) is shown with a vertical length of 35 mm from point \( D \) to the base, with \( BD \) itself being 250 mm long. - The angle \( \beta \) between link \( BC \) and the horizontal is provided as \( 20^\circ \). - The force \( Q \) acts horizontally at point \( E \) to maintain equilibrium. **Objective:** - Calculate the force \( Q \) required to maintain equilibrium in the system with the given configuration and external force applied.
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### Problem 6.126 **Objective:** Solve Problem 6.125 under the following conditions: - **(a)** When \( \beta = 0 \). - **(b)** When \( \beta = 6^\circ \). **Instructions:** - This task involves addressing a previously defined problem (6.125) with the specified values of \( \beta \). - Ensure to revisit Problem 6.125 to understand the context and requirements before proceeding with the solution. Please refer to your educational resources for any additional diagrams or context required for solving Problem 6.125 as these details are crucial for solving it under the specified conditions.
Transcribed Image Text:### Problem 6.126 **Objective:** Solve Problem 6.125 under the following conditions: - **(a)** When \( \beta = 0 \). - **(b)** When \( \beta = 6^\circ \). **Instructions:** - This task involves addressing a previously defined problem (6.125) with the specified values of \( \beta \). - Ensure to revisit Problem 6.125 to understand the context and requirements before proceeding with the solution. Please refer to your educational resources for any additional diagrams or context required for solving Problem 6.125 as these details are crucial for solving it under the specified conditions.
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