*5–80. The bent rod is supported at A, B, and C by journal bearings. Determine the components of reaction at the bearings if the rod is subjected to the 200-lb vertical force and the 30 lb·ft couple moment. The bearings are in proper alignment and exert only force reactions on the rod.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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*5–80. The bent rod is supported at A, B, and C by journal bearings. Determine the components of reaction at the bearings if the rod is subjected to the 200-lb vertical force and the 30 lb·ft couple moment. The bearings are in proper alignment and exert only force reactions on the rod.

The image depicts a three-dimensional structure involving a pipe that is fixed at three points: A, B, and C. These points are attached to the surrounding framework. The pipe bends and changes direction at each of these points, and the coordinates are labeled in feet along the x, y, and z axes.

- **Point A**: Located 2 feet along the x-axis and 1 foot above the y-axis. It serves as the starting point for the pipe, which extends vertically by 1 foot towards point B.
  
- **Point B**: 1 foot above Point A on the z-axis. From Point B, the pipe extends horizontally by 2 feet along the y-axis towards point C.

- **Point C**: 2 feet along the y-axis from point B. From this point, the pipe extends 1 foot along the z-axis and then changes direction at an angle of 45°.

- **External Forces**: 
  - A downward force of 200 pounds is applied at Point A in the negative z-direction.
  - A torque of 30 lb·ft is applied at the end of the pipe, which is directed at a 45° angle from the horizontal extension beyond point C.

This configuration illustrates the application of both linear force and rotational torque on a fixed structure, which is a typical scenario in the field of structural engineering or mechanics. The diagram helps to analyze the effects of these forces and moments on the structure's stability and stress distribution.
Transcribed Image Text:The image depicts a three-dimensional structure involving a pipe that is fixed at three points: A, B, and C. These points are attached to the surrounding framework. The pipe bends and changes direction at each of these points, and the coordinates are labeled in feet along the x, y, and z axes. - **Point A**: Located 2 feet along the x-axis and 1 foot above the y-axis. It serves as the starting point for the pipe, which extends vertically by 1 foot towards point B. - **Point B**: 1 foot above Point A on the z-axis. From Point B, the pipe extends horizontally by 2 feet along the y-axis towards point C. - **Point C**: 2 feet along the y-axis from point B. From this point, the pipe extends 1 foot along the z-axis and then changes direction at an angle of 45°. - **External Forces**: - A downward force of 200 pounds is applied at Point A in the negative z-direction. - A torque of 30 lb·ft is applied at the end of the pipe, which is directed at a 45° angle from the horizontal extension beyond point C. This configuration illustrates the application of both linear force and rotational torque on a fixed structure, which is a typical scenario in the field of structural engineering or mechanics. The diagram helps to analyze the effects of these forces and moments on the structure's stability and stress distribution.
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