Linear Expansion Formula

📊 beginner

$$\Delta L = \alpha L_0 \Delta T$$

Calculates the change in length of a material due to temperature change.

Variables & Units

$\Delta L$

Change in length

Unit: Meter ($m$)

$\alpha$

Coefficient of linear expansion

Unit: $1/K$ or $1/^\circ C$

$L_0$

Initial length

Unit: Meter ($m$)

$\Delta T$

Change in temperature

Unit: Kelvin ($K$) or $^\circ C$

Key Information

📐 Derived From

First-order approximation of atomic lattice vibration expansion.

💡 Example

Designing gaps in railroad tracks.

🔧 Applications

Civil engineering and thermometer design.

⚠️ Constraints

Valid for relatively small temperature changes.

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