You have built the majority of the tension testing machine, but much of the instrumentation is still being assembled. To test the machine, you perform a test on a steel specimen with known properties. The machine provides you with the given load data, and you manually record the lengths between the marks on the specimen at each point using an extensometer to obtain the table of data shown below. L (in) 2.2804 2.4774 2.0012 3.51 2.0025 7.09 2.0350 7.87 2.0798 8.83 2.1313 9.84 P (kip) 11.77 12.37 Use these results to calculate the stress and strain at the yield point, the ultimate strength point, and the fracture point. 2.1937 10.80 2.5791 11.80 2.6657 10.81 2.7281 9.81 2.7497 9.42

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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You have built the majority of the tension testing machine, but much of the instrumentation is still being assembled. To test the machine, you perform a test on a steel specimen with known properties. The machine provides you with the given load data, and you manually record the lengths between the marks on the specimen at each point using an extensometer to obtain the table of data shown below.

| \( L \) (in)  | 2.0012 | 2.0025 | 2.0350 | 2.0798 | 2.1313 | 2.1937 | 2.2804 | 2.4774 | 2.5791 | 2.6657 | 2.7281 | 2.7497 |
|--------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|
| \( P \) (kip)| 3.51   | 7.09   | 7.87   | 8.83   | 9.84   | 10.80  | 11.77  | 12.37  | 11.80  | 10.81  | 9.81   | 9.42   |

Use these results to calculate the stress and strain at the yield point, the ultimate strength point, and the fracture point.

**Express your answers to three significant figures.**
Transcribed Image Text:You have built the majority of the tension testing machine, but much of the instrumentation is still being assembled. To test the machine, you perform a test on a steel specimen with known properties. The machine provides you with the given load data, and you manually record the lengths between the marks on the specimen at each point using an extensometer to obtain the table of data shown below. | \( L \) (in) | 2.0012 | 2.0025 | 2.0350 | 2.0798 | 2.1313 | 2.1937 | 2.2804 | 2.4774 | 2.5791 | 2.6657 | 2.7281 | 2.7497 | |--------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------| | \( P \) (kip)| 3.51 | 7.09 | 7.87 | 8.83 | 9.84 | 10.80 | 11.77 | 12.37 | 11.80 | 10.81 | 9.81 | 9.42 | Use these results to calculate the stress and strain at the yield point, the ultimate strength point, and the fracture point. **Express your answers to three significant figures.**
**Tensile Test Specimen**

**Diagram Explanation:**

The diagram on the left shows a steel tensile test specimen with defined dimensions. The specimen has a central cylindrical section with threads at both ends.

- **Central Section Diameter (\(d_o\))**: 0.5 inches
- **Gauge Length (\(L_o\))**: 2 inches

These parameters measure the deformation and strength of the specimen under tensile loading.

**Text Explanation:**

On the right, there's a table recording the results from a tensile test on the steel specimen. This table outlines the elongation measurements in inches at various applied loads in pounds (P).

**Load and Elongation Table**:

| \(P\) (lb) | \(l\) (in)  |
|------------|-------------|
| 0          | 2.0021      |
| 3,551      | 2.0070      |
| 7,091      | 2.0350      |
| 8,882      | 2.0789      |
| 9,724      | 2.1931      |
| 10,197     | 2.2804      |
| 2,264      | 2.4774      |
| 2,579      | 2.5919      |
| 2,657      | 2.7081      |
| 2,728      | 2.7647      |

These data points enable the calculation of stress and strain at critical points, such as the yield point, ultimate strength point, and fracture point of the specimen.
Transcribed Image Text:**Tensile Test Specimen** **Diagram Explanation:** The diagram on the left shows a steel tensile test specimen with defined dimensions. The specimen has a central cylindrical section with threads at both ends. - **Central Section Diameter (\(d_o\))**: 0.5 inches - **Gauge Length (\(L_o\))**: 2 inches These parameters measure the deformation and strength of the specimen under tensile loading. **Text Explanation:** On the right, there's a table recording the results from a tensile test on the steel specimen. This table outlines the elongation measurements in inches at various applied loads in pounds (P). **Load and Elongation Table**: | \(P\) (lb) | \(l\) (in) | |------------|-------------| | 0 | 2.0021 | | 3,551 | 2.0070 | | 7,091 | 2.0350 | | 8,882 | 2.0789 | | 9,724 | 2.1931 | | 10,197 | 2.2804 | | 2,264 | 2.4774 | | 2,579 | 2.5919 | | 2,657 | 2.7081 | | 2,728 | 2.7647 | These data points enable the calculation of stress and strain at critical points, such as the yield point, ultimate strength point, and fracture point of the specimen.
Expert Solution
Step 1: Determine the given data

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Mechanical Engineering homework question answer, step 1, image 2

The diameter is d equals 0.5 space i n

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