A) A circular rod with a gage length of 3.6 mm and a diameter of 2.3 cm is subjected to an axial load of 51 kN . If the modulus of elasticity is 200 GPa , what is the change in length?B)A circular rod with a length of 4 mm and a diameter of 2.4 cm is subjected to an axial load of 61 kN . If the resulting change in length is 3.34 mm , what is the modulus of elasticity?C)A circular rod with a length of 3.7 mm and a diameter of 2.7 cm is subjected to an axial load and increases in length by 3.26 mm . The initial portion of the stress-strain curve of the material is given. What is the applied load? ### Stress-Strain Graph ExplanationThis graph represents the stress-strain relationship for a material, illustrating how it behaves under mechanical stress.#### Axes:- **Vertical Axis (σ in MPa):** Represents stress in megapascals (MPa).- **Horizontal Axis (ε):** Represents strain, a dimensionless quantity.#### Graph Details:- **Initial Linear Region (0 to 0.001 Strain):** The graph starts with a linear increase, indicating the material's proportional limit where stress increases linearly with strain. This region typically represents elastic behavior, where the material will return to its original shape upon unloading.- **Yield Point (~0.001 Strain):** The stress reaches approximately 300 MPa. Beyond this point, the material transitions from elastic to plastic deformation, where permanent deformation occurs.- **Plateau (~0.001 to 0.002 Strain):** The stress remains fairly constant as strain increases, indicating the yield plateau where the material undergoes plastic deformation at a relatively constant stress level.This graph is crucial for understanding the mechanical properties of materials, particularly their ability to withstand applied forces while maintaining structural integrity.

Given:Rod diameter (d) = 2.3 cm = 0.023 mGage length (L) = 3.6 mm = 0.0036 mAxial load (P) = 51 kN =…

Answered: A) A circular rod with a gage length of…

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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A) A circular rod with a gage length of 3.6 mm and a diameter of 2.3 cm is subjected to an axial load of 51 kN . If the modulus of elasticity is 200 GPa , what is the change in length?

B)A circular rod with a length of 4 mm and a diameter of 2.4 cm is subjected to an axial load of 61 kN . If the resulting change in length is 3.34 mm , what is the modulus of elasticity?

C)A circular rod with a length of 3.7 mm and a diameter of 2.7 cm is subjected to an axial load and increases in length by 3.26 mm . The initial portion of the stress-strain curve of the material is given. What is the applied load?

### Stress-Strain Graph Explanation

This graph represents the stress-strain relationship for a material, illustrating how it behaves under mechanical stress.

#### Axes:
- **Vertical Axis (σ in MPa):** Represents stress in megapascals (MPa).
- **Horizontal Axis (ε):** Represents strain, a dimensionless quantity.

#### Graph Details:
- **Initial Linear Region (0 to 0.001 Strain):** The graph starts with a linear increase, indicating the material's proportional limit where stress increases linearly with strain. This region typically represents elastic behavior, where the material will return to its original shape upon unloading.
- **Yield Point (~0.001 Strain):** The stress reaches approximately 300 MPa. Beyond this point, the material transitions from elastic to plastic deformation, where permanent deformation occurs.
- **Plateau (~0.001 to 0.002 Strain):** The stress remains fairly constant as strain increases, indicating the yield plateau where the material undergoes plastic deformation at a relatively constant stress level.

This graph is crucial for understanding the mechanical properties of materials, particularly their ability to withstand applied forces while maintaining structural integrity.

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