A link in a mechanism is made from round bar. Due to the loading condition, the link is subject to a maximum stress of 67-MPa and a minimum stress of -27-MPa. Determine the alternating stress the link is experiencing?
A link in a mechanism is made from round bar. Due to the loading condition, the link is subject to a maximum stress of 67-MPa and a minimum stress of -27-MPa. Determine the alternating stress the link is experiencing?
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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![**Problem Description:**
A link in a mechanism is made from a round bar. Due to the loading condition, the link is subject to a maximum stress of 67-MPa and a minimum stress of -27-MPa.
**Question:**
Determine the alternating stress the link is experiencing.
**Multiple Choice Options:**
- A) 44.5-MPa
- B) -750-psi
- C) 19.1-MPa
- D) 25.5-MPa
- E) 20-MPa
- F) 2313-psi
- G) 5375-psi
- H) 47-MPa
**Explanation:**
To calculate the alternating stress (σ_a), use the formula:
\[ \sigma_a = \frac{\sigma_{\text{max}} - \sigma_{\text{min}}}{2} \]
Where:
- \(\sigma_{\text{max}} = 67 \, \text{MPa}\)
- \(\sigma_{\text{min}} = -27 \, \text{MPa}\)
Calculating the alternating stress:
\[ \sigma_a = \frac{67 - (-27)}{2} = \frac{67 + 27}{2} = \frac{94}{2} = 47 \, \text{MPa} \]
**Answer:**
The alternating stress the link is experiencing is 47-MPa (Option H).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a28b893-91ec-4064-8fee-f9f0d1fd8200%2F6fa9d072-cce7-4bbd-a318-5ca36e13f6a9%2F5oor7ym_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
A link in a mechanism is made from a round bar. Due to the loading condition, the link is subject to a maximum stress of 67-MPa and a minimum stress of -27-MPa.
**Question:**
Determine the alternating stress the link is experiencing.
**Multiple Choice Options:**
- A) 44.5-MPa
- B) -750-psi
- C) 19.1-MPa
- D) 25.5-MPa
- E) 20-MPa
- F) 2313-psi
- G) 5375-psi
- H) 47-MPa
**Explanation:**
To calculate the alternating stress (σ_a), use the formula:
\[ \sigma_a = \frac{\sigma_{\text{max}} - \sigma_{\text{min}}}{2} \]
Where:
- \(\sigma_{\text{max}} = 67 \, \text{MPa}\)
- \(\sigma_{\text{min}} = -27 \, \text{MPa}\)
Calculating the alternating stress:
\[ \sigma_a = \frac{67 - (-27)}{2} = \frac{67 + 27}{2} = \frac{94}{2} = 47 \, \text{MPa} \]
**Answer:**
The alternating stress the link is experiencing is 47-MPa (Option H).
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