4. Answer the following questions with reference to the Stress-Strain diagrams below. For this problem, work on this sheet. 110 1060 CR Steel 1045 HR Steel 100 90 80 Stress 70 2024-T4 Aluminum Structural Steel (ksi) 60 50 40 30 AZ31B-0 Magnesium 20 Clear Birch 10 .01 .05 .10 .15 .20 Strain (in/in) A. Young's modulus of 1060 CR Steel (show work on figure) B. Ultimate strength of 1045 HR Steel C. Proportional limit of 2024-T4 Aluminum D. Yield stress of Magnesium based on 0.2% offset (show your work on the figure) E. Yield stress of Aluminum, based on 0.2% offset (show your work on the figure) F. Circle the strongest of the materials below and briefly explain your answer: 2024-T4 Aluminum 1060 CR Steel AZ31B-O Magnesium G. Circle the most ductile of the materials below and briefly explain your answer: AZ31B-O Magnesium Structural Steel 1045 HR Steel

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Educational Content: Stress-Strain Analysis**

**Stress-Strain Diagram Explanation:**

The graph presents stress-strain curves for different materials, including 1060 CR Steel, 1045 HR Steel, 2024-T4 Aluminum, Structural Steel, AZ31B-O Magnesium, and Clear Birch. The stress is measured in ksi (kilopounds per square inch) and the strain in inches per inch.

- **1060 CR Steel**: Exhibits a high stress peak early in the curve.
- **1045 HR Steel**: Shows a steep rise in stress with a higher ultimate strength.
- **2024-T4 Aluminum**: Presents moderate stress levels with a noticeable yield point.
- **Structural Steel**: Displays a gentle curve with high ductility.
- **AZ31B-O Magnesium**: Features a low-stress, high-strain behavior.
- **Clear Birch**: Has the lowest stress and strain values.

**Questions and Tasks:**

A. **Young’s Modulus of 1060 CR Steel**  
   (Find the slope in the elastic region of the steel curve and show work on the figure)

B. **Ultimate Strength of 1045 HR Steel**  
   (Identify the highest point on the 1045 HR Steel curve)

C. **Proportional Limit of 2024-T4 Aluminum**  
   (Determine where the aluminum stops having a linear relationship between stress and strain)

D. **Yield Stress of Magnesium based on 0.2% Offset**  
   (Locate the offset line parallel to the linear portion of the curve)

E. **Yield Stress of Aluminum based on 0.2% Offset**  
   (Draw a 0.2% offset line parallel to the aluminum’s elastic region)

F. **Strongest Material (Circle and Explain)**  
   - 1060 CR Steel  
   - 2024-T4 Aluminum  
   - AZ31B-O Magnesium  
   (Choose based on highest stress capability)

G. **Most Ductile Material (Circle and Explain)**  
   - Structural Steel  
   - 1045 HR Steel  
   - AZ31B-O Magnesium  
   (Consider based on the ability to withstand deformation)

H. **Stiffest Material (Circle and Explain)**  
   - Structural Steel  
   - 2024-T4 Aluminum  
   - AZ31B-O Magnesium  
   (Evaluate based on the steepest initial slope in the stress-str
Transcribed Image Text:**Educational Content: Stress-Strain Analysis** **Stress-Strain Diagram Explanation:** The graph presents stress-strain curves for different materials, including 1060 CR Steel, 1045 HR Steel, 2024-T4 Aluminum, Structural Steel, AZ31B-O Magnesium, and Clear Birch. The stress is measured in ksi (kilopounds per square inch) and the strain in inches per inch. - **1060 CR Steel**: Exhibits a high stress peak early in the curve. - **1045 HR Steel**: Shows a steep rise in stress with a higher ultimate strength. - **2024-T4 Aluminum**: Presents moderate stress levels with a noticeable yield point. - **Structural Steel**: Displays a gentle curve with high ductility. - **AZ31B-O Magnesium**: Features a low-stress, high-strain behavior. - **Clear Birch**: Has the lowest stress and strain values. **Questions and Tasks:** A. **Young’s Modulus of 1060 CR Steel** (Find the slope in the elastic region of the steel curve and show work on the figure) B. **Ultimate Strength of 1045 HR Steel** (Identify the highest point on the 1045 HR Steel curve) C. **Proportional Limit of 2024-T4 Aluminum** (Determine where the aluminum stops having a linear relationship between stress and strain) D. **Yield Stress of Magnesium based on 0.2% Offset** (Locate the offset line parallel to the linear portion of the curve) E. **Yield Stress of Aluminum based on 0.2% Offset** (Draw a 0.2% offset line parallel to the aluminum’s elastic region) F. **Strongest Material (Circle and Explain)** - 1060 CR Steel - 2024-T4 Aluminum - AZ31B-O Magnesium (Choose based on highest stress capability) G. **Most Ductile Material (Circle and Explain)** - Structural Steel - 1045 HR Steel - AZ31B-O Magnesium (Consider based on the ability to withstand deformation) H. **Stiffest Material (Circle and Explain)** - Structural Steel - 2024-T4 Aluminum - AZ31B-O Magnesium (Evaluate based on the steepest initial slope in the stress-str
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