### Tensile Test Analysis of Magnesium SpecimenA specimen of magnesium (Mg) with a rectangular cross-section of dimensions 3.2 mm by 19.1 mm is tested under tension. The analysis uses the load-elongation data provided below. The objectives are to:1. Plot the data as engineering stress (in MPa) versus engineering strain.2. Determine the elastic modulus.3. Determine the yield strength (using a 0.2% offset method).4. Determine the tensile strength of the material.5. Compute the modulus of resilience.6. Compute the ductility.#### Load-Elongation Data| Load (N) | Length (mm) ||----------|-------------|| 0 | 63.50 || 1380 | 63.53 || 2780 | 63.56 || 5630 | 63.62 || 7430 | 63.70 || 8140 | 63.75 || 9870 | 64.14 || 12,850 | 65.41 || 14,100 | 66.68 || 14,340 | 67.95 || 13,830 | 69.22 || 12,500 | 70.49 || fracture | |### Explanation of Graphs and Calculations- **Engineering Stress vs. Engineering Strain Plot:** - Engineering stress is calculated as the applied load divided by the original cross-sectional area. - Engineering strain is calculated as the change in length divided by the original length. - A graph plotting stress versus strain will provide visual data to determine material properties.- **Elastic Modulus:** - The slope of the stress-strain curve in the linear elastic region gives the elastic modulus.- **Yield Strength:** - Using a 0.2% offset yield method involves drawing a line parallel to the elastic portion of the curve, starting at 0.2% strain, to identify the yield point.- **Tensile Strength:** - The maximum stress on the stress-strain curve indicates the tensile strength of the material.- **Modulus of Resilience:** - Calculated as the area under the elastic region of the stress-strain curve, representing

2. A specimen of Mg have a rectangular cross-section of dimensions 3.2mm by 19.1mm is deformed by tension. Using the load-elongation data tabulated below, do the following: Plot the data as engineering stress (in MPa) VS. engineering strain. Determine the elastic modulus Determine the yield strength (using a 0.2% offset method) Determine the tensile strength of the material Compute the modulus of resilience Compute the ductility Load (N) Length(mm) 63.50 1380 63.53 2780 63.56 5630 63.62 7430 63.70 8140 63.75 9870 64.14 12,850 14,100 14,340 13,830 12,500 fracture 65.41 66.68 67.95 69.22 70.49

2. A specimen of Mg have a rectangular cross-section of dimensions 3.2mm by 19.1mm is deformed by tension. Using the load-elongation data tabulated below, do the following: Plot the data as engineering stress (in MPa) VS. engineering strain. Determine the elastic modulus Determine the yield strength (using a 0.2% offset method) Determine the tensile strength of the material Compute the modulus of resilience Compute the ductility Load (N) Length(mm) 63.50 1380 63.53 2780 63.56 5630 63.62 7430 63.70 8140 63.75 9870 64.14 12,850 14,100 14,340 13,830 12,500 fracture 65.41 66.68 67.95 69.22 70.49

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

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### Tensile Test Analysis of Magnesium Specimen

A specimen of magnesium (Mg) with a rectangular cross-section of dimensions 3.2 mm by 19.1 mm is tested under tension. The analysis uses the load-elongation data provided below. The objectives are to:

1. Plot the data as engineering stress (in MPa) versus engineering strain.
2. Determine the elastic modulus.
3. Determine the yield strength (using a 0.2% offset method).
4. Determine the tensile strength of the material.
5. Compute the modulus of resilience.
6. Compute the ductility.

#### Load-Elongation Data

| Load (N) | Length (mm) |
|----------|-------------|
| 0 | 63.50 |
| 1380 | 63.53 |
| 2780 | 63.56 |
| 5630 | 63.62 |
| 7430 | 63.70 |
| 8140 | 63.75 |
| 9870 | 64.14 |
| 12,850 | 65.41 |
| 14,100 | 66.68 |
| 14,340 | 67.95 |
| 13,830 | 69.22 |
| 12,500 | 70.49 |
| fracture | |

### Explanation of Graphs and Calculations

- **Engineering Stress vs. Engineering Strain Plot:**
- Engineering stress is calculated as the applied load divided by the original cross-sectional area.
- Engineering strain is calculated as the change in length divided by the original length.
- A graph plotting stress versus strain will provide visual data to determine material properties.

- **Elastic Modulus:**
- The slope of the stress-strain curve in the linear elastic region gives the elastic modulus.

- **Yield Strength:**
- Using a 0.2% offset yield method involves drawing a line parallel to the elastic portion of the curve, starting at 0.2% strain, to identify the yield point.

- **Tensile Strength:**
- The maximum stress on the stress-strain curve indicates the tensile strength of the material.

- **Modulus of Resilience:**
- Calculated as the area under the elastic region of the stress-strain curve, representing

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