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
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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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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