Statement: The figure below shows three cycles of time-varying loading on a double D-ring held together with a single bolt and nut. The figure shows both the bolt tensile force and the member compressive force. QUESTION 1 - Based on the figure, give the minimum and the maximum of the external load, P?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Statement: The figure below shows three cycles of time-varying loading on a double D-ring held together with a single bolt and nut. The figure shows both the bolt tensile force and the member compressive force. QUESTION 1 - Based on the figure, give the minimum and the maximum of the external load, P?
The image displays a graph with two different data series plotted over time. The title of the graph indicates the notation: \( F_b \) is represented by a solid line, and \( F_m \) is shown with a dot-dashed line.

### X-Axis
- **Label**: \( t, \text{time} \)
- The x-axis represents time, although specific units or increments are not provided.

### Y-Axis
- **Label**: \( F_b - F_m \)
- This indicates the difference between \( F_b \) and \( F_m \). The scale ranges from 0 to 7000.

### Data Series
1. **Solid Line (\( F_b \))**:
   - Appears as a smooth sinusoidal curve.
   - Peaks at around 7000 and troughs at approximately 5000.

2. **Dot-Dashed Line (\( F_m \))**:
   - Also sinusoidal but with phase shift compared to \( F_b \).
   - Peaks close to 5000 and troughs at about 3000.

### Analysis
The graph illustrates the variation over time of two functions, \( F_b \) and \( F_m \), with \( F_b \) consistently having higher amplitudes than \( F_m \). The periodic nature of the graph suggests a cyclical process, with clear, repeating patterns evident in both lines.

This graph could be used in an educational context to discuss periodic functions, phase differences, or amplitude variation in sinusoidal functions.
Transcribed Image Text:The image displays a graph with two different data series plotted over time. The title of the graph indicates the notation: \( F_b \) is represented by a solid line, and \( F_m \) is shown with a dot-dashed line. ### X-Axis - **Label**: \( t, \text{time} \) - The x-axis represents time, although specific units or increments are not provided. ### Y-Axis - **Label**: \( F_b - F_m \) - This indicates the difference between \( F_b \) and \( F_m \). The scale ranges from 0 to 7000. ### Data Series 1. **Solid Line (\( F_b \))**: - Appears as a smooth sinusoidal curve. - Peaks at around 7000 and troughs at approximately 5000. 2. **Dot-Dashed Line (\( F_m \))**: - Also sinusoidal but with phase shift compared to \( F_b \). - Peaks close to 5000 and troughs at about 3000. ### Analysis The graph illustrates the variation over time of two functions, \( F_b \) and \( F_m \), with \( F_b \) consistently having higher amplitudes than \( F_m \). The periodic nature of the graph suggests a cyclical process, with clear, repeating patterns evident in both lines. This graph could be used in an educational context to discuss periodic functions, phase differences, or amplitude variation in sinusoidal functions.
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