### Rotating Axle Analysis#### Problem Statement:Ball bearings support the rotating axle at points A and D. The axle is loaded by a stationary (non-rotating) force of \( F = 6.8 \, \text{kN} \).#### Diagram Description:- The diagram is a side view of the axle with specific dimensions provided in millimeters (mm).- The axle consists of different segments with varying diameters, each separated by shoulders with a fillet radius of 3 mm.- Key points on the axle: - **A:** Support point - **B:** 6.8 kN force application point - **C & D:** Additional support points- Segment dimensions: - A to B: 250 mm - Diameter changes at B: - Before B: 30 mm - After B: 32 mm for 75 mm - B to C: 100 mm with a diameter of 38 mm - C to D: 125 mm with a diameter of 32 mm#### Material Properties:- Axle material: AISI cold-drawn steel- Ultimate strength (\( S_u \)): 690 MPa- Yield strength (\( S_y \)): 580 MPa#### Task:1. **Calculate the safety factor** at the 6.8 kN load specifically at points B and C. - These points endure moderate bending moments due to the geometric feature causing stress concentration.2. **Determine the number of cycles to failure** of the part under the given loading conditions.#### Calculation Considerations:- Evaluate bending moments and stress concentration to determine safety factor.- Consider fatigue analysis for determining cycles to failure, particularly focusing on stress concentration effects and loading type.This analysis is crucial for ensuring the reliability and longevity of machine elements subjected to complex loading conditions.

Treat the shaft as simply supported beam with supports at A and D.Here are reaction forces at…

4) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm, and all geometry changes (steps in the diameter shaft) have a fillet radius of 3 mm. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa and a yield strength of S_y= 580 MPa. Calculate the safety factor at the 6.8 kN load and points B and C, which experience moderate bending moments with a geometric feature that causes a stress concentration. Determine the number of cycles to failure of this part. 30 10 -250- -32 B 75 6.8 kN F 38 125 -35 30

4) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm, and all geometry changes (steps in the diameter shaft) have a fillet radius of 3 mm. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa and a yield strength of S_y= 580 MPa. Calculate the safety factor at the 6.8 kN load and points B and C, which experience moderate bending moments with a geometric feature that causes a stress concentration. Determine the number of cycles to failure of this part. 30 10 -250- -32 B 75 6.8 kN F 38 125 -35 30

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

### Rotating Axle Analysis

#### Problem Statement:
Ball bearings support the rotating axle at points A and D. The axle is loaded by a stationary (non-rotating) force of \( F = 6.8 \, \text{kN} \).

#### Diagram Description:
- The diagram is a side view of the axle with specific dimensions provided in millimeters (mm).
- The axle consists of different segments with varying diameters, each separated by shoulders with a fillet radius of 3 mm.
- Key points on the axle:
- **A:** Support point
- **B:** 6.8 kN force application point
- **C & D:** Additional support points
- Segment dimensions:
- A to B: 250 mm
- Diameter changes at B:
- Before B: 30 mm
- After B: 32 mm for 75 mm
- B to C: 100 mm with a diameter of 38 mm
- C to D: 125 mm with a diameter of 32 mm

#### Material Properties:
- Axle material: AISI cold-drawn steel
- Ultimate strength (\( S_u \)): 690 MPa
- Yield strength (\( S_y \)): 580 MPa

#### Task:
1. **Calculate the safety factor** at the 6.8 kN load specifically at points B and C.
- These points endure moderate bending moments due to the geometric feature causing stress concentration.
2. **Determine the number of cycles to failure** of the part under the given loading conditions.

#### Calculation Considerations:
- Evaluate bending moments and stress concentration to determine safety factor.
- Consider fatigue analysis for determining cycles to failure, particularly focusing on stress concentration effects and loading type.

This analysis is crucial for ensuring the reliability and longevity of machine elements subjected to complex loading conditions.

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