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A cylindrical specimen of a cold-worked brass has a ductility (%EL) of 33%. If its cold-worked radius is 11 mm, what was its radius before deformation? You may need to use Animated Figure 7.19c.

A cylindrical specimen of a cold-worked brass has a ductility (%EL) of 33%. If its cold-worked radius is 11 mm, what was its radius before deformation? You may need to use Animated Figure 7.19c.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Problem Statement A cylindrical specimen of a cold-worked brass has a ductility (%EL) of 33%. If its cold-worked radius is 11 mm, what was its radius before deformation? You may need to use Animated Figure 7.19c. ### Solution Input - **Text Box:** A field is provided to input the answer in millimeters (mm). This question is related to the mechanical properties of materials—specifically, the calculation of the original radius of the material before it underwent cold working, using the given ductility and post-deformation radius. The reference to "Animated Figure 7.19c" suggests a supportive resource may provide additional guidance or a visual aid to solve the problem. Ensure to consider the ductility percentage and the relationships between the deformation and the changes in the dimensions of the material.
Transcribed Image Text:### Problem Statement A cylindrical specimen of a cold-worked brass has a ductility (%EL) of 33%. If its cold-worked radius is 11 mm, what was its radius before deformation? You may need to use Animated Figure 7.19c. ### Solution Input - **Text Box:** A field is provided to input the answer in millimeters (mm). This question is related to the mechanical properties of materials—specifically, the calculation of the original radius of the material before it underwent cold working, using the given ductility and post-deformation radius. The reference to "Animated Figure 7.19c" suggests a supportive resource may provide additional guidance or a visual aid to solve the problem. Ensure to consider the ductility percentage and the relationships between the deformation and the changes in the dimensions of the material.
The provided graph illustrates the relationship between percent cold work and ductility (%EL) for three different materials: 1040 Steel, Copper, and Brass. ### Graph Details: - **X-Axis (Horizontal):** Represents the Percent Cold Work, ranging from 0 to 70%. - **Y-Axis (Vertical):** Represents Ductility, measured as percentage elongation (%EL), ranging from 0 to 70%. ### Material Curves: 1. **1040 Steel (Blue Line):** - Starts with higher ductility at low percent cold work. - Shows a steep decline in ductility as cold work increases. 2. **Copper (Red Line):** - Begins with moderate ductility. - Exhibits a similar trend to 1040 Steel, with ductility decreasing steadily with increased cold work, but maintains higher ductility than steel at a given percent cold work. 3. **Brass (Yellow Line):** - Starts with even higher ductility compared to the others. - Ductility decreases with increasing percent cold work but at a slower rate compared to Copper and 1040 Steel. ### Additional Information: - A yellow box indicates a specific point where Percent Cold Work and Ductility are both zero. This graph is a valuable resource for understanding how cold work impacts the ductility of different materials, which is crucial in materials engineering and design applications.
Transcribed Image Text:The provided graph illustrates the relationship between percent cold work and ductility (%EL) for three different materials: 1040 Steel, Copper, and Brass. ### Graph Details: - **X-Axis (Horizontal):** Represents the Percent Cold Work, ranging from 0 to 70%. - **Y-Axis (Vertical):** Represents Ductility, measured as percentage elongation (%EL), ranging from 0 to 70%. ### Material Curves: 1. **1040 Steel (Blue Line):** - Starts with higher ductility at low percent cold work. - Shows a steep decline in ductility as cold work increases. 2. **Copper (Red Line):** - Begins with moderate ductility. - Exhibits a similar trend to 1040 Steel, with ductility decreasing steadily with increased cold work, but maintains higher ductility than steel at a given percent cold work. 3. **Brass (Yellow Line):** - Starts with even higher ductility compared to the others. - Ductility decreases with increasing percent cold work but at a slower rate compared to Copper and 1040 Steel. ### Additional Information: - A yellow box indicates a specific point where Percent Cold Work and Ductility are both zero. This graph is a valuable resource for understanding how cold work impacts the ductility of different materials, which is crucial in materials engineering and design applications.
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