Pipe Elbow Cut Calculator

Calculate miter cut angles, centerline radius, segment spacing and approximate pipe elbow cut dimensions for fabricated segmented elbows.

Elbow geometry

Cut allowance

Kerf is shown separately and is not silently added to the theoretical centerline geometry. Straight length is optional and is useful when estimating the total pipe required.

Calculated Results

Angle between centerlines
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Miter cut angle
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Centerline arc length
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Centerline segment length
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Inside bend radius
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Outside bend radius
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Cut Layout

Enter dimensions and calculate.

Formula

Angle between centerline sections: α = Total elbow angle / Number of segments Miter cut angle: β = α / 2 Centerline arc length: L = R × α(rad) where: R = centerline bend radius Straight centerline length per segment: Ls = 2R × sin(α/2) Inside bend radius: Ri = R − D/2 Outside bend radius: Ro = R + D/2 For a segmented elbow, each joint uses two matching miter cuts. Total centerline length of the curved portion: L = R × total elbow angle in radians
This calculator uses equal-angle segmented miter geometry. Actual fabrication may require adjustment for pipe wall thickness, joint gap, welding shrinkage, kerf and the shop's dimensioning convention.

Example

Pipe
100 mm outside diameter.
Elbow
90° elbow with a 150 mm centerline radius.
Segments
5 segments.
Centerline angle per segment
90° ÷ 5 = 18°.
Each miter cut
18° ÷ 2 = 9° from a square cut.

Frequently Asked Questions

What is a mitered pipe elbow? A mitered elbow is fabricated by cutting pipe sections at angles and joining them to create the required change in direction.

How many segments should an elbow have? More segments generally produce a smoother approximation of the desired bend, while fewer segments simplify fabrication. The appropriate number depends on the application.

What is the miter cut angle? For equal segments, it is half the centerline angle between adjacent sections.

What is the difference between miter angle and elbow angle? The elbow angle is the total direction change. The miter cut is the individual cut made on each adjoining pipe section.

Does pipe diameter affect the miter angle? No. For equal-angle segmented elbows, the miter angle depends on the total elbow angle and number of segments. Diameter affects the resulting cut geometry across the pipe.

Does bend radius affect the miter angle? No. Radius affects the segment length and inside/outside bend radii, but not the equal-angle miter angle.

Can this calculate a 45° or 60° elbow? Yes. Enter the required total elbow angle and number of segments.

Is this for formed pipe bends? No. It is intended for fabricated segmented/mitered elbows. Mandrel, induction and press bends require different calculations.