Duct Bend Area Calculation Tool

Duct Bend Area Calculator

Duct Bend Area Calculator

Enter any 4 values to calculate the missing variable

Formula
Duct Bend Area = 2 × ((Bend Radius + (Width / 2)) × π × (Bend Angle / 360)) × Quantity
Where:
Width = Width of the duct
Bend Radius = Radius of the bend
Bend Angle = Angle of the bend in degrees
Quantity = Number of bends
π = 3.14159
Alternatively:
Width = (Duct Bend Area / (2 × (Bend Radius + (Height / 2)) × π × (Bend Angle / 360) × Quantity)
Bend Radius = (Duct Bend Area / (2 × π × (Bend Angle / 360) × Quantity)) – (Width / 2)
Example Input
Width: 12 inches
Height: 6 inches
Bend Radius: 8 inches
Bend Angle: 90 degrees
Quantity: 2
Duct Bend Area: 150.80 square inches
Calculation Example
Firstly: Identify the given values:
Width = 12 inches, Height = 6 inches, Bend Radius = 8 inches, Bend Angle = 90 degrees, Quantity = 2
Secondly: Apply the formula:
Duct Bend Area = 2 × ((Bend Radius + (Width / 2)) × π × (Bend Angle / 360)) × Quantity
Thirdly: Substitute the values:
Duct Bend Area = 2 × ((8 + (12 / 2)) × π × (90 / 360)) × 2
Fourthly: Simplify the equation:
Duct Bend Area = 2 × (14 × π × 0.25) × 2
Finally: Compute the final result:
Duct Bend Area = 150.80 square inches

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