Problem 3) A shaft is supported by journal bearings at A and B (these only provide normal support reactions, so you can think of them as rollers). Draw the shear and moment diagrams for the shaft below. 2500 lb 3000 lb 75 lb/ft D 12 ft- 6 ft- 2 ft B

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**Problem 3)**: A shaft is supported by journal bearings at \(A\) and \(B\) (these only provide normal support reactions, so you can think of them as rollers). Draw the shear and moment diagrams for the shaft below.

**Diagram Explanation:**

- The shaft is depicted horizontally and is supported by two vertical journal bearings labeled as \(A\) and \(B\), which are located 20 feet apart.
- Bearing \(A\) is situated 6 feet from the left end of the shaft, and bearing \(B\) is situated 2 feet from the right end of the shaft.
- There is a concentrated load of 2500 pounds acting downward at the point 6 feet from the left end of the shaft (above \(A\)).
- There is a uniformly distributed load (UDL) of 75 pounds per foot acting downward over a section of the shaft between points \(C\) and \(D\)). This section spans 12 feet.
- There is a concentrated load of 3000 pounds acting downward at the point 2 feet from the right end of the shaft (above \(B\)).

**Measurements and Notations:**

- **Distance from left end to \(A\)**: 6 feet
- **Distance from \(A\) to \(D\)**: 12 feet
- **Distance from \(D\) to \(B\)**: 2 feet
- **Total length of the shaft**: 20 feet
- **Concentrated load at \(\text{left end}\)**: 2500 lb
- **Uniformly distributed load (UDL)** between \(A\) and \(D\): 75 lb/ft
- **Concentrated load at \(\text{right end}\)**: 3000 lb

The task is to draw the following for the given shaft configuration:
1. **Shear force diagram** — which plots the internal shear force along the length of the shaft.
2. **Bending moment diagram** — which plots the bending moment (internal moment) along the length of the shaft.

These diagrams are essential for understanding how the shaft will react to various loads and where it may be subjected to maximum stress, which helps in ensuring its structural integrity and reliability.
Transcribed Image Text:**Problem 3)**: A shaft is supported by journal bearings at \(A\) and \(B\) (these only provide normal support reactions, so you can think of them as rollers). Draw the shear and moment diagrams for the shaft below. **Diagram Explanation:** - The shaft is depicted horizontally and is supported by two vertical journal bearings labeled as \(A\) and \(B\), which are located 20 feet apart. - Bearing \(A\) is situated 6 feet from the left end of the shaft, and bearing \(B\) is situated 2 feet from the right end of the shaft. - There is a concentrated load of 2500 pounds acting downward at the point 6 feet from the left end of the shaft (above \(A\)). - There is a uniformly distributed load (UDL) of 75 pounds per foot acting downward over a section of the shaft between points \(C\) and \(D\)). This section spans 12 feet. - There is a concentrated load of 3000 pounds acting downward at the point 2 feet from the right end of the shaft (above \(B\)). **Measurements and Notations:** - **Distance from left end to \(A\)**: 6 feet - **Distance from \(A\) to \(D\)**: 12 feet - **Distance from \(D\) to \(B\)**: 2 feet - **Total length of the shaft**: 20 feet - **Concentrated load at \(\text{left end}\)**: 2500 lb - **Uniformly distributed load (UDL)** between \(A\) and \(D\): 75 lb/ft - **Concentrated load at \(\text{right end}\)**: 3000 lb The task is to draw the following for the given shaft configuration: 1. **Shear force diagram** — which plots the internal shear force along the length of the shaft. 2. **Bending moment diagram** — which plots the bending moment (internal moment) along the length of the shaft. These diagrams are essential for understanding how the shaft will react to various loads and where it may be subjected to maximum stress, which helps in ensuring its structural integrity and reliability.
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