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Coefficient of Thermal Expansion Calculator

Thermal Expansion Formula:

\[ \alpha = \frac{\Delta L}{L \times \Delta T} \]

m
m
°C

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1. What is the Coefficient of Thermal Expansion?

The coefficient of thermal expansion (α) describes how the size of an object changes with a change in temperature. It quantifies the fractional change in size per degree change in temperature at constant pressure.

2. How Does the Calculator Work?

The calculator uses the thermal expansion formula:

\[ \alpha = \frac{\Delta L}{L \times \Delta T} \]

Where:

Explanation: The equation calculates how much a material expands or contracts per degree of temperature change, relative to its original size.

3. Importance of Thermal Expansion Calculation

Details: Understanding thermal expansion is crucial in engineering and construction to prevent structural damage, in manufacturing to ensure proper fit of components, and in materials science to understand material behavior.

4. Using the Calculator

Tips: Enter length change in meters, initial length in meters, and temperature change in °C. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for α?
A: Metals typically range from 10-30 × 10⁻⁶/°C, while plastics can be much higher (50-200 × 10⁻⁶/°C).

Q2: Does thermal expansion vary with temperature?
A: Yes, α is often temperature-dependent, especially over large temperature ranges.

Q3: What's the difference between linear and volumetric expansion?
A: This calculator measures linear expansion. For isotropic materials, volumetric expansion coefficient ≈ 3 × linear coefficient.

Q4: How does thermal expansion affect real-world structures?
A: Bridges have expansion joints, pipelines have loops, and railroad tracks have gaps to accommodate thermal expansion.

Q5: Can materials have negative thermal expansion?
A: Yes, some materials like water (between 0-4°C) and certain ceramics contract when heated.

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