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18 in. В 20 in. 80 lb 24 in. 24 in. PE y 38 in. D 20 in. 60 lb |100 lb

18 in. В 20 in. 80 lb 24 in. 24 in. PE y 38 in. D 20 in. 60 lb |100 lb

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The L-shaped rod, supported by slider bearings at A and B, passes through a hole in the cantilever beam DE. Draw the FBDs for the entire assembly and for its two parts. Determine the total number of unknowns. Neglect the weights of the components. Finally, solve for the unknowns.

### Analysis of the Structural Diagram #### System Description The diagram illustrates a structural framework with multiple forces and distances marked along the x-, y-, and z-axes. The system consists of a beam supported by pulleys at points A and B, with a fixed support at D. #### Components and Measurements - **Segment AB:** - Distance between A and B: 20 inches. - Point A to the wall (z-axis): 18 inches. - **Segment from B to the end of the beam in the y-direction:** 24 inches. - **Horizontal extension from wall D to E (along x-axis):** 38 inches. - **Vertical support from E:** 20 inches along the z-axis. #### Forces Acting on the Structure - **Point B:** A force of 80 pounds is acting in the positive y-direction. - **Point E:** A force of 60 pounds is directed downwards. - **Point beyond E towards the negative z-direction:** A force of 100 pounds is directed downwards. #### Fixed Support - **Point D:** The structure is anchored to a wall, providing fixed support that can resist forces and moments. ### Explanation of Diagrams - **3D Representation:** The structure shows different angles and positions indicating how forces and distances relate spatially. - **Axes Indication:** The axes are labeled as x, y, and z to help identify the direction of forces and measure distances accurately. This setup helps in analyzing the mechanical equilibrium, calculating the resultant forces, and understanding the implications of adding or altering forces on the structural system.
Transcribed Image Text:### Analysis of the Structural Diagram #### System Description The diagram illustrates a structural framework with multiple forces and distances marked along the x-, y-, and z-axes. The system consists of a beam supported by pulleys at points A and B, with a fixed support at D. #### Components and Measurements - **Segment AB:** - Distance between A and B: 20 inches. - Point A to the wall (z-axis): 18 inches. - **Segment from B to the end of the beam in the y-direction:** 24 inches. - **Horizontal extension from wall D to E (along x-axis):** 38 inches. - **Vertical support from E:** 20 inches along the z-axis. #### Forces Acting on the Structure - **Point B:** A force of 80 pounds is acting in the positive y-direction. - **Point E:** A force of 60 pounds is directed downwards. - **Point beyond E towards the negative z-direction:** A force of 100 pounds is directed downwards. #### Fixed Support - **Point D:** The structure is anchored to a wall, providing fixed support that can resist forces and moments. ### Explanation of Diagrams - **3D Representation:** The structure shows different angles and positions indicating how forces and distances relate spatially. - **Axes Indication:** The axes are labeled as x, y, and z to help identify the direction of forces and measure distances accurately. This setup helps in analyzing the mechanical equilibrium, calculating the resultant forces, and understanding the implications of adding or altering forces on the structural system.
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