Thermal Expansion Force Calculator

Formula

To calculate the Thermal Expansion Force (F):

\[ F = E \times \alpha \times \Delta T \times A \]

Where:

\(F\) is the Force (lbf)
\(E\) is the Young's Modulus of the Material (PSI)
\(\alpha\) is the Thermal Expansion Coefficient (in/in°F)
\(\Delta T\) is the Change in Temperature (°F)
\(A\) is the Cross-Sectional Area (in²)

What is Thermal Expansion Force?

A thermal expansion force measures the total force acting on an object in a constricted space due to a temperature change, causing an expansion of the object.

Example Calculation

Let's assume the following values:

Young's Modulus (\(E\)) = 30,000,000 PSI
Thermal Expansion Coefficient (\(\alpha\)) = 0.000006 in/in°F
Change in Temperature (\(\Delta T\)) = 100°F
Cross-Sectional Area (\(A\)) = 2 in²

Using the formula:

\[ F = 30,000,000 \times 0.000006 \times 100 \times 2 = 36,000 \text{ lbf} \]

The Thermal Expansion Force is 36,000 lbf.