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In this 3D system a bent rod has a journal bearing at A and a ball and socket at D, and is being supported with a cable at B in the z-direction. The supports are well aligned eliminating the moments for bearings. Compute the support reactions at A and D and the tension in cable.

In this 3D system a bent rod has a journal bearing at A and a ball and socket at D, and is being supported with a cable at B in the z-direction. The supports are well aligned eliminating the moments for bearings. Compute the support reactions at A and D and the tension in cable.

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
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### Bent Rod Support System Analysis #### Description: In this 3D system, a bent rod has a journal bearing at point A and a ball and socket at point D. It is supported by a cable at point B in the z-direction. The supports are well aligned, eliminating the moments for bearings. The task is to compute the support reactions at A and D and determine the tension in the cable. #### Diagram Explanation: - **Rod Configuration:** The rod is bent and supported between two points, A and D. - **Support at A:** A journal bearing is located here, allowing rotation but restricting translation. - **Support at D:** A ball and socket joint is used, providing rotational freedom and restraining translation. - **Cable at B:** This is illustrated supporting the rod in the z-direction. - **Dimensions:** - Distance from A to E along the rod is 3.5 ft. - Horizontal distance (x-axis) from B to E is 2 ft. - Vertical height (z-axis) from D to E is 2 ft. - **Load:** A cylindrical weight of 150 lbs is suspended vertically from the rod at point E. #### Calculations: - **Support Reactions:** - Ax = 0 lb - Ay = 0 lb - Dx = 0 lb - Dy = 0 lb - Dz = 75 lb - **Cable Tension:** - T = 75 lb The above reactions and tensions ensure the system is in equilibrium under the given loading conditions.
Transcribed Image Text:### Bent Rod Support System Analysis #### Description: In this 3D system, a bent rod has a journal bearing at point A and a ball and socket at point D. It is supported by a cable at point B in the z-direction. The supports are well aligned, eliminating the moments for bearings. The task is to compute the support reactions at A and D and determine the tension in the cable. #### Diagram Explanation: - **Rod Configuration:** The rod is bent and supported between two points, A and D. - **Support at A:** A journal bearing is located here, allowing rotation but restricting translation. - **Support at D:** A ball and socket joint is used, providing rotational freedom and restraining translation. - **Cable at B:** This is illustrated supporting the rod in the z-direction. - **Dimensions:** - Distance from A to E along the rod is 3.5 ft. - Horizontal distance (x-axis) from B to E is 2 ft. - Vertical height (z-axis) from D to E is 2 ft. - **Load:** A cylindrical weight of 150 lbs is suspended vertically from the rod at point E. #### Calculations: - **Support Reactions:** - Ax = 0 lb - Ay = 0 lb - Dx = 0 lb - Dy = 0 lb - Dz = 75 lb - **Cable Tension:** - T = 75 lb The above reactions and tensions ensure the system is in equilibrium under the given loading conditions.
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