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

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

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. Please, Solve for the unknowns!

The diagram presents a 3D force system involving a structural member fixed at one end, denoted as point \( D \), and subjected to multiple forces. Here’s a detailed breakdown of the components: ### Components and Dimensions - **Coordinate System:** - The axes are labeled as \( x \), \( y \), and \( z \). - The member extends along the \( z \) and \( y \) axes. - **Member Sections:** - **\( AB \):** This part is a horizontal section in the \( z \)-direction. - **\( A \) to \( B \):** Length of 18 inches. - Additional continuation of 20 inches from \( B \). - **\( DE \):** Extends horizontally in the \( y \)-direction. - Length of 38 inches from \( D \) to \( E \). - Additional horizontal extension of 24 inches after \( E \). ### Forces - **At Point \( A \):** - No forces specified. - **At Point \( B \):** - Supports a force of 80 lbs directed along the positive \( y \)-axis. - **At Point \( D \):** - The member is assumed to be fixed or supported, providing an equilibrium constraint. - **At Point \( E \):** - A downward force of 100 lbs is applied (along the negative \( z \)-axis). - **On the Section Beyond \( E \):** - A downward force of 60 lbs is applied (also along the negative \( z \)-axis). ### Applications This setup is typically found in engineering statics problems where the goal is to analyze the forces and moments acting on the structure to ensure stability and structural integrity. The forces applied can be used to calculate the internal reactions at supports or joints using the principles of equilibrium.
Transcribed Image Text:The diagram presents a 3D force system involving a structural member fixed at one end, denoted as point \( D \), and subjected to multiple forces. Here’s a detailed breakdown of the components: ### Components and Dimensions - **Coordinate System:** - The axes are labeled as \( x \), \( y \), and \( z \). - The member extends along the \( z \) and \( y \) axes. - **Member Sections:** - **\( AB \):** This part is a horizontal section in the \( z \)-direction. - **\( A \) to \( B \):** Length of 18 inches. - Additional continuation of 20 inches from \( B \). - **\( DE \):** Extends horizontally in the \( y \)-direction. - Length of 38 inches from \( D \) to \( E \). - Additional horizontal extension of 24 inches after \( E \). ### Forces - **At Point \( A \):** - No forces specified. - **At Point \( B \):** - Supports a force of 80 lbs directed along the positive \( y \)-axis. - **At Point \( D \):** - The member is assumed to be fixed or supported, providing an equilibrium constraint. - **At Point \( E \):** - A downward force of 100 lbs is applied (along the negative \( z \)-axis). - **On the Section Beyond \( E \):** - A downward force of 60 lbs is applied (also along the negative \( z \)-axis). ### Applications This setup is typically found in engineering statics problems where the goal is to analyze the forces and moments acting on the structure to ensure stability and structural integrity. The forces applied can be used to calculate the internal reactions at supports or joints using the principles of equilibrium.
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