Problem 3: Draw the free body, shear, and moment diagrams for the axle of a freight car subjected of a wheel loading of 20 kip. It is supported by two journal bearings at C and D. The diameter is 5.5 in. Determine the maximum bending stress developed in the axle. 10 in. 20 kip 60 in. B D 10 in. 20 kip

Elements Of Electromagnetics
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**Problem 3:** Draw the free body, shear, and moment diagrams for the axle of a freight car subjected to a wheel loading of 20 kip. It is supported by two journal bearings at \(C\) and \(D\). The diameter is 5.5 in. Determine the maximum bending stress developed in the axle.

**Diagram Explanation:**

In the diagram, the following elements are depicted:

- **Axle and Bearings:** The axle is shown horizontally, supported by two journal bearings at points \(C\) and \(D\), with equal spacing from the center of the axle.

- **Loads:** Two vertical forces, each of 20 kip (kilo-pound), are applied downward on the axle. These forces are situated at points \(A\) and \(B\), which are centrally positioned between supports \(C\) and \(D\).

- **Dimensions:** 
  - The distance between the supports \(C\) and \(D\) is 80 inches.
  - The load application points \(A\) and \(B\) are located 10 inches from each support, resulting in a central span of 60 inches between the loads.

The goal is to analyze the system to find the free body diagram, shear force, and bending moment along the axle, and subsequently determine the maximum bending stress.
Transcribed Image Text:**Problem 3:** Draw the free body, shear, and moment diagrams for the axle of a freight car subjected to a wheel loading of 20 kip. It is supported by two journal bearings at \(C\) and \(D\). The diameter is 5.5 in. Determine the maximum bending stress developed in the axle. **Diagram Explanation:** In the diagram, the following elements are depicted: - **Axle and Bearings:** The axle is shown horizontally, supported by two journal bearings at points \(C\) and \(D\), with equal spacing from the center of the axle. - **Loads:** Two vertical forces, each of 20 kip (kilo-pound), are applied downward on the axle. These forces are situated at points \(A\) and \(B\), which are centrally positioned between supports \(C\) and \(D\). - **Dimensions:** - The distance between the supports \(C\) and \(D\) is 80 inches. - The load application points \(A\) and \(B\) are located 10 inches from each support, resulting in a central span of 60 inches between the loads. The goal is to analyze the system to find the free body diagram, shear force, and bending moment along the axle, and subsequently determine the maximum bending stress.
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