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.
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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).
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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