Pipe Rolling Calculator

Calculate pipe circumference, rolling radius, arc length, rolling angle and developed dimensions for cylindrical pipe and rolled sections.

Pipe dimensions

Rolling geometry

Calculated Results

Pipe circumference
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Rolling radius
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Rolling angle
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Arc length
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Chord length
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Sagitta / rise
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Calculation Details

Enter the pipe and rolling dimensions.

Formula

Pipe circumference: C = π × D Arc length: L = R × θ where θ is in radians. Degrees to radians: θrad = θ° × π / 180 Rolling angle from arc: θ = L / R Rolling radius from arc: R = L / θ Chord length: c = 2R × sin(θ / 2) Sagitta: s = R × [1 − cos(θ / 2)] Rolling angle from chord: θ = 2 × asin(c / 2R)
For fabrication, always confirm which diameter is the correct neutral-axis reference. Actual pipe rolling also depends on material, wall thickness, machine setup, springback and tooling.

Example

Pipe diameter
300 mm.
Rolling radius
1000 mm.
Rolling angle
90°.
Arc length
1000 × π/2 ≈ 1570.80 mm.
Chord length
2 × 1000 × sin(45°) ≈ 1414.21 mm.

Frequently Asked Questions

What is pipe rolling? Pipe rolling bends straight pipe or cylindrical material along a large-radius curve, often using a three-roll machine or similar equipment.

What is the rolling radius? It is the radius of the circular centerline path followed by the pipe through the rolled section.

How is rolling arc length calculated? Arc length equals radius multiplied by the angle expressed in radians.

What is chord length? Chord length is the straight-line distance between the two ends of a circular arc.

What is sagitta? Sagitta is the maximum rise of the curved pipe above the straight chord connecting its ends.

Does pipe diameter affect the rolling radius? The diameter does not mathematically determine the selected bend radius, but it is important when specifying the correct inside, outside or centerline reference.

Can I calculate a full 360° roll? Yes. Enter 360° for the rolling angle when the geometry requires a complete circular path.

Is this a pipe-roll machine setup calculator? No. It calculates geometric relationships. Actual machine roll settings require material-specific shop data, machine geometry and springback compensation.