Duct Bend Area Calculator

Formula

To calculate the Duct Bend Area:

\[ A = (W + H) \cdot 2 \cdot \left( (R + \frac{W}{2}) \cdot 3.14159 \cdot \frac{a}{180} \right) \cdot Q \]

Where:

\(A\) is the Area
\(W\) is the Width
\(H\) is the Height
\(R\) is the Radius of the Bend
\(a\) is the Angle of the Elbow
\(Q\) is the Flow Rate

What is a Duct Elbow?

A duct elbow is a bend in an air duct that changes the direction of the duct and airflow. Calculating the area of the bend is important for understanding how air will flow through the bend.

Example Calculation 1

Let's assume the following values:

Width (\(W\)) = 0.5 meters
Height (\(H\)) = 0.3 meters
Radius of Bend (\(R\)) = 1 meter
Angle of Elbow (\(a\)) = 90 degrees
Flow Rate (\(Q\)) = 1

Using the formula:

\[ A = (0.5 + 0.3) \cdot 2 \cdot \left( (1 + \frac{0.5}{2}) \cdot 3.14159 \cdot \frac{90}{180} \right) \cdot 1 = 0.8 \cdot 2 \cdot (1.25 \cdot 3.14159 \cdot 0.5) \cdot 1 = 0.8 \cdot 2 \cdot 1.963495 \cdot 1 = 3.142 \text{ square meters} \]

The Duct Bend Area is approximately 3.142 square meters.

Example Calculation 2

Let's assume the following values:

Width (\(W\)) = 0.6 meters
Height (\(H\)) = 0.4 meters
Radius of Bend (\(R\)) = 1.2 meters
Angle of Elbow (\(a\)) = 45 degrees
Flow Rate (\(Q\)) = 1

Using the formula:

\[ A = (0.6 + 0.4) \cdot 2 \cdot \left( (1.2 + \frac{0.6}{2}) \cdot 3.14159 \cdot \frac{45}{180} \right) \cdot 1 = 1.0 \cdot 2 \cdot (1.5 \cdot 3.14159 \cdot 0.25) \cdot 1 = 1.0 \cdot 2 \cdot 1.1780975 \cdot 1 = 2.356 \text{ square meters} \]

The Duct Bend Area is approximately 2.356 square meters.