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How to Calculate Percent Elongation

Percent Elongation Formula:

\[ \%\ elongation = \frac{L_f - L_i}{L_i} \times 100 \]

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1. What is Percent Elongation?

Percent elongation is a measurement that describes how much a material has stretched or deformed before fracture. It's expressed as the percentage increase in length compared to the original length.

2. How Does the Calculator Work?

The calculator uses the percent elongation formula:

\[ \%\ elongation = \frac{L_f - L_i}{L_i} \times 100 \]

Where:

Explanation: The formula calculates the relative change in length as a percentage of the original length, providing a standardized measure of material ductility.

3. Importance of Percent Elongation

Details: Percent elongation is a key parameter in material science and engineering, used to assess material ductility, quality control, and predict material behavior under stress.

4. Using the Calculator

Tips: Enter both initial and final lengths in meters. Ensure measurements are accurate for reliable results. The initial length should be the gauge length before testing.

5. Frequently Asked Questions (FAQ)

Q1: What is a good percent elongation value?
A: It varies by material. Ductile materials like copper may have 50%+, while brittle materials like cast iron may be under 5%.

Q2: How is this different from engineering strain?
A: Engineering strain is (L_f - L_i)/L_i without the percentage conversion. Percent elongation is simply strain expressed as a percentage.

Q3: Does sample size affect percent elongation?
A: Yes, especially for materials with necking. Standardized test specimens are used for comparable results.

Q4: What's the difference between elongation and extension?
A: Extension is the absolute change in length (L_f - L_i), while elongation is the relative change expressed as a percentage.

Q5: Can percent elongation be negative?
A: Normally no, as it measures stretch. For compression, similar measures like percent reduction are used.

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