Determine the angle of twist of end B with respect to end A. Given: The splined ends and gears attached to the A992 steel shaft are subjected to torques shown where T=210 N*m. The shaft has a diameter of 45mm.
Determine the angle of twist of end B with respect to end A. Given: The splined ends and gears attached to the A992 steel shaft are subjected to torques shown where T=210 N*m. The shaft has a diameter of 45mm.
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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Q: Determine the angle of twist of end B with respect to end A.
Given: The splined ends and gears attached to the A992 steel shaft are subjected to torques shown where T=210 N*m. The shaft has a diameter of 45mm.
Note: In the pic are previsouly submitted incorrect answers if that makes any difference.
![### Educational Content on Torque and Shaft Analysis
#### Problem Statement
The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown where \( T = 210 \, \text{N}\cdot\text{m} \).
**Shaft Specifications:**
- Diameter: 45 mm
#### Task
**Part A:** Determine the angle of twist of end \( B \) with respect to end \( A \).
- Express your answer to three significant figures and include appropriate units.
#### Diagram Details
- The diagram shows a shaft with gears at three points: \( A \), \( C \), and \( B \).
- There are three torque values applied:
- \( 600 \, \text{N}\cdot\text{m} \) between \( A \) and \( C \)
- \( 1200 \, \text{N}\cdot\text{m} \) right at point \( C \)
- \( 400 \, \text{N}\cdot\text{m} \) between \( C \) and \( B \)
- Distances between points are marked as:
- \( 400 \, \text{mm} \) from \( A \) to \( C \)
- \( 500 \, \text{mm} \) from \( C \) to \( B \)
#### Answer Submissions and Attempts
1. **Submitted Answer 1:**
\[
\phi_{B/A} = 1.522^\circ
\]
2. **Submitted Answer 2:**
\[
\phi_{B/A} = 0.008 \, \text{rad}
\]
3. **Submitted Answer 3:**
\[
\phi_{B/A} = 0.774^\circ
\]
4. **Submitted Answer 4:**
\[
\phi_{B/A} = 1.341^\circ
\]
- Result: **Incorrect**; Try Again. Two attempts remaining.
This lesson provides students the opportunity to apply knowledge of torsion, material properties, and torque-induced stresses through a practical problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff56da61c-cf9d-4d3e-85c9-7bfd1af82491%2Fed865a26-7c45-4d43-ae03-f0d831b00f81%2Fgd2u9x_processed.png&w=3840&q=75)
Transcribed Image Text:### Educational Content on Torque and Shaft Analysis
#### Problem Statement
The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown where \( T = 210 \, \text{N}\cdot\text{m} \).
**Shaft Specifications:**
- Diameter: 45 mm
#### Task
**Part A:** Determine the angle of twist of end \( B \) with respect to end \( A \).
- Express your answer to three significant figures and include appropriate units.
#### Diagram Details
- The diagram shows a shaft with gears at three points: \( A \), \( C \), and \( B \).
- There are three torque values applied:
- \( 600 \, \text{N}\cdot\text{m} \) between \( A \) and \( C \)
- \( 1200 \, \text{N}\cdot\text{m} \) right at point \( C \)
- \( 400 \, \text{N}\cdot\text{m} \) between \( C \) and \( B \)
- Distances between points are marked as:
- \( 400 \, \text{mm} \) from \( A \) to \( C \)
- \( 500 \, \text{mm} \) from \( C \) to \( B \)
#### Answer Submissions and Attempts
1. **Submitted Answer 1:**
\[
\phi_{B/A} = 1.522^\circ
\]
2. **Submitted Answer 2:**
\[
\phi_{B/A} = 0.008 \, \text{rad}
\]
3. **Submitted Answer 3:**
\[
\phi_{B/A} = 0.774^\circ
\]
4. **Submitted Answer 4:**
\[
\phi_{B/A} = 1.341^\circ
\]
- Result: **Incorrect**; Try Again. Two attempts remaining.
This lesson provides students the opportunity to apply knowledge of torsion, material properties, and torque-induced stresses through a practical problem.
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