Problem 7: Draw the shear and moment diagrams for the shaft in the figure below. The support A is a thrust bearing and the support at B is a journal bearing. 200 lb 100 lb/ft 300 lb-ft B 4 ft

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Problem 7: 

#### Task:
Draw the shear and moment diagrams for the shaft in the figure below. The support A is a thrust bearing and the support at B is a journal bearing.

#### Figure Description:
The diagram depicts a shaft with two types of supports: a thrust bearing at point A on the left and a journal bearing at point B towards the right. The shaft is subjected to the following loads:
- A point load of 200 lb applied vertically downward at the far left end of the shaft (at point A).
- A uniformly distributed load of 100 lb/ft applied between points A and B, spanning 4 feet.
- A point moment of 300 lb·ft applied in the clockwise direction at point B on the right end of the shaft.

#### Measurements:
- The distance between point A and the start of the uniformly distributed load is 1 ft.
- The length of the uniformly distributed load span (from A to B) is 4 ft.
- The distance between point B and the moment load is 1 ft.

#### Expected Output:
1. **Shear Diagram**: A graphical representation showing the variation of the shear force along the length of the shaft.
2. **Moment Diagram**: A graphical representation showing the variation of the bending moment along the length of the shaft.

#### Detailed Steps for Solution:
1. Determine the reactions at supports A and B.
2. Calculate the shear force at various points along the shaft due to the applied loads.
3. Integrate the shear force diagram to obtain the moment diagram, taking into account the applied moment at point B.

This problem involves applying principles of static equilibrium to solve for reactions and then using those reactions to construct the shear and moment diagrams, which are essential for understanding the internal forces in the shaft.
Transcribed Image Text:### Problem 7: #### Task: Draw the shear and moment diagrams for the shaft in the figure below. The support A is a thrust bearing and the support at B is a journal bearing. #### Figure Description: The diagram depicts a shaft with two types of supports: a thrust bearing at point A on the left and a journal bearing at point B towards the right. The shaft is subjected to the following loads: - A point load of 200 lb applied vertically downward at the far left end of the shaft (at point A). - A uniformly distributed load of 100 lb/ft applied between points A and B, spanning 4 feet. - A point moment of 300 lb·ft applied in the clockwise direction at point B on the right end of the shaft. #### Measurements: - The distance between point A and the start of the uniformly distributed load is 1 ft. - The length of the uniformly distributed load span (from A to B) is 4 ft. - The distance between point B and the moment load is 1 ft. #### Expected Output: 1. **Shear Diagram**: A graphical representation showing the variation of the shear force along the length of the shaft. 2. **Moment Diagram**: A graphical representation showing the variation of the bending moment along the length of the shaft. #### Detailed Steps for Solution: 1. Determine the reactions at supports A and B. 2. Calculate the shear force at various points along the shaft due to the applied loads. 3. Integrate the shear force diagram to obtain the moment diagram, taking into account the applied moment at point B. This problem involves applying principles of static equilibrium to solve for reactions and then using those reactions to construct the shear and moment diagrams, which are essential for understanding the internal forces in the shaft.
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