Pipe Bend Calculator
Millimeters (mm)
Inches (in)
Centimeters (cm)
Calculation Results
Arc Length (Developed Length):
0
Outer Bend Length:
0
Inner Bend Length:
0
Tangent Offset:
0
Understanding Pipe Bend Calculations
In mechanical engineering and plumbing, calculating the exact dimensions of a pipe bend is critical for ensuring proper fitment and fluid dynamics. This calculator helps determine the "Developed Length" — the actual length of pipe required to form the bend before you start the fabrication process.
Key Terms Explained
- Center Line Radius (CLR): The distance from the center of the bend to the center of the pipe. This is the most critical measurement in pipe bending.
- Developed Length (Arc Length): The distance along the center of the pipe that will be bent.
- Outside Diameter (OD): The total width of the pipe from outer edge to outer edge.
- Tangent Offset: The distance from the start of the bend to the intersection point of the two straight pipe sections.
The Math Behind the Bend
The arc length is calculated using the formula: L = (θ / 360) × 2 × π × R
Where:
- L is the developed length.
- θ is the angle of the bend in degrees.
- R is the Center Line Radius (CLR).
- π is approximately 3.14159.
Example Calculation
Suppose you need to bend a 50mm OD pipe at a 90-degree angle with a Center Line Radius of 150mm:
- Developed Length: (90/360) × 2 × 3.14159 × 150 = 235.62mm
- Outer Bend: (90/360) × 2 × 3.14159 × (150 + 25) = 274.89mm
- Inner Bend: (90/360) × 2 × 3.14159 × (150 – 25) = 196.35mm
This tells you that you need 235.62mm of straight pipe to accommodate the material that will become the 90-degree bend.