1. You are tasked to design a shaft for power transmission through a belt and pully at its right side. The shaft is supported by a thrust bearing at A and a journal bearing at B. a) Determine the support forces the bearings have to "bear". (In machine design, this step is necessary for selecting the correct bearings from the catalog) Tip: Journal bearing can only support lateral (radial) force, like B, in this problem, while Thrust bearings can support axial and lateral forces, like A, and A, in this case. b) Upon inspection of the shaft, you decide that the cross-section C needs to be evaluated to avoid mechanical failure. Find the resultant internal loadings acting on the cross-section at C. If the shaft diameter at this section is 0.3 mm, what are the average normal and shear stresses at this section?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Educational Website Content:**

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**Designing a Shaft for Power Transmission**

In this exercise, you are tasked with designing a shaft for power transmission through a belt and pulley situated at the right side. The shaft is supported by a thrust bearing at point A and a journal bearing at point B.

### Problem Breakdown

**a) Support Forces Determination**

The first step in your design is to determine the support forces that the bearings must endure. This is necessary for selecting the proper bearings from a catalog.

- **Tip:** 
  - **Journal bearings** can only support lateral (radial) forces, as in bearing \( B \) in this scenario.
  - **Thrust bearings** can support both axial and lateral forces, as seen in bearings \( A \) and \( A \) in this case.

**b) Mechanical Failure Evaluation**

Upon inspecting the shaft, it becomes evident that the cross-section \( C \) needs evaluation to prevent mechanical failure. You are required to find the resultant internal loadings acting on cross-section \( C \). Additionally, if the shaft diameter at this section is 0.3 mm, determine the average normal and shear stresses.

### Diagram Explanation

The diagram illustrates the setup:

- **Shaft and Bearings:**
  - The shaft is shown with bearings at points \( A \) and \( B \).
  - There are distinct sections between \( A \), \( B \), and \( D \) marked with their respective lengths.

- **Load Details:**
  - A torque of 700 Nm is applied at point \( C \).
  - A load of 1 kN is applied vertically downward at point \( D \).

- **Distances:**
  - \( A \) to \( B \): 1 m
  - \( B \) to \( C \): 1 m
  - \( C \) to \( D \): 1.5 m
  - The section from \( D \) extends 2 meters.

To solve this problem, apply principles of statics to evaluate the forces at the bearings and the stresses at section \( C \). This will ensure the shaft's structural integrity and functionality under the specified loads.
Transcribed Image Text:**Educational Website Content:** --- **Designing a Shaft for Power Transmission** In this exercise, you are tasked with designing a shaft for power transmission through a belt and pulley situated at the right side. The shaft is supported by a thrust bearing at point A and a journal bearing at point B. ### Problem Breakdown **a) Support Forces Determination** The first step in your design is to determine the support forces that the bearings must endure. This is necessary for selecting the proper bearings from a catalog. - **Tip:** - **Journal bearings** can only support lateral (radial) forces, as in bearing \( B \) in this scenario. - **Thrust bearings** can support both axial and lateral forces, as seen in bearings \( A \) and \( A \) in this case. **b) Mechanical Failure Evaluation** Upon inspecting the shaft, it becomes evident that the cross-section \( C \) needs evaluation to prevent mechanical failure. You are required to find the resultant internal loadings acting on cross-section \( C \). Additionally, if the shaft diameter at this section is 0.3 mm, determine the average normal and shear stresses. ### Diagram Explanation The diagram illustrates the setup: - **Shaft and Bearings:** - The shaft is shown with bearings at points \( A \) and \( B \). - There are distinct sections between \( A \), \( B \), and \( D \) marked with their respective lengths. - **Load Details:** - A torque of 700 Nm is applied at point \( C \). - A load of 1 kN is applied vertically downward at point \( D \). - **Distances:** - \( A \) to \( B \): 1 m - \( B \) to \( C \): 1 m - \( C \) to \( D \): 1.5 m - The section from \( D \) extends 2 meters. To solve this problem, apply principles of statics to evaluate the forces at the bearings and the stresses at section \( C \). This will ensure the shaft's structural integrity and functionality under the specified loads.
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