A tensile test is being conducted on a steel-rod specimen with a gauge length of L0=4.0 in and an initial diameter of d0=0.75 in. If the final length of the rod at fracture is Lt= 5.53 in, find the percent elongation of the rod at fracture

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A tensile test is being conducted on a steel-rod specimen with a gauge length of L0=4.0 in and an initial diameter of d0=0.75 in. If the final length of the rod at fracture is Lt= 5.53 in, find the percent elongation of the rod at fracture

**Description of the Stress-Strain Graph**

The diagram displayed is a stress-strain graph representing the material behavior under a tensile test. The graph typically features strain (ε) on the x-axis, expressed in inches per inch (in/in), and stress (σ) on the y-axis, expressed in kilo-pounds per square inch (ksi).

### Key Aspects of the Graph:

- **Axes:**
  - The x-axis (horizontal) shows the strain, ranging from 0 to 0.38 in/in.
  - The y-axis (vertical) represents the stress, ranging from 0 to 70 ksi.

- **Graph Line:**
  - The line starts near the origin (0,0), rises steeply, indicating elastic behavior, where stress is proportional to strain.
  - The curve then flattens and reaches a peak level, illustrating the plastic deformation phase, where the material deforms permanently.
  
- **Notable Points:**
  - A dotted horizontal red line indicates a stress level of 50 ksi.
  - A red vertical dotted line marks a strain value of 0.38 in/in, connected to point F on the graph.
  - Point F represents the fracture point of the material.

This graph is an essential tool in materials science, used to characteristic the mechanical properties such as elasticity, yield strength, ultimate tensile strength, and breaking point of materials.
Transcribed Image Text:**Description of the Stress-Strain Graph** The diagram displayed is a stress-strain graph representing the material behavior under a tensile test. The graph typically features strain (ε) on the x-axis, expressed in inches per inch (in/in), and stress (σ) on the y-axis, expressed in kilo-pounds per square inch (ksi). ### Key Aspects of the Graph: - **Axes:** - The x-axis (horizontal) shows the strain, ranging from 0 to 0.38 in/in. - The y-axis (vertical) represents the stress, ranging from 0 to 70 ksi. - **Graph Line:** - The line starts near the origin (0,0), rises steeply, indicating elastic behavior, where stress is proportional to strain. - The curve then flattens and reaches a peak level, illustrating the plastic deformation phase, where the material deforms permanently. - **Notable Points:** - A dotted horizontal red line indicates a stress level of 50 ksi. - A red vertical dotted line marks a strain value of 0.38 in/in, connected to point F on the graph. - Point F represents the fracture point of the material. This graph is an essential tool in materials science, used to characteristic the mechanical properties such as elasticity, yield strength, ultimate tensile strength, and breaking point of materials.
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