Piping
Swept tee
In short
Branch made from an elbow laid on the header: elbow cut, height-gauge marks, full-size header hole. Example with the default values: Outlet face height = 179.0 mm.
Calculation
Example calculated with the tool’s default values.
Inputs
- Header
- DN150 · 168.3 × 4.5 mm
- Branch (elbow)
- DN100 · 114.3 × 3.6 mm
- Elbow radius
- Bought long-radius elbow (EN 10253-2 3D or ASME B16.9 LR per pipe)
- Outlet angle
- 90°
- Elbow position
- Inner side flush with the header top
- Generators
- 16 (every 22.5°)
Results
- Outlet face height
- 179.0 mmfrom the header centreline
Worked example
Every value in this section belongs to the example, calculated with the tool’s default values.
Other results of the example
- Kept length at the back
- 98.4 mmon the elbow, from the outlet face
- Kept length at the side
- 133.9 mm
- Kept length at the belly
- 149.0 mm
- Hole length in the header
- 186.4 mm
- Hole width (developed)
- 125.7 mm
- Hole beyond the outlet centreline
- 34.4 mmaway from the laid end
- Hole towards the laid end
- 152.0 mm
- Elbow radius
- 152.0 mmEN 10253-2 3D elbow
- Laid out on the outside diameters; bevel and gap per the WPS. An elbow cannot be flattened: transfer each length on its generator with a flexible rule (or each height with a height gauge, elbow standing on its outlet face), then join the points.
- The header hole is exact (developable cylinder): wrap the template on the header, “outlet” line on the outlet centreline.
Step-by-step calculation
Elbow generator a
ρ(a) = Rc + (d/2) cos a
dos 209.2 ; ventre 94.8 mm
Elbow position
e = D/2 − d/2 (intrados flush with the top)
e = 27.0 mm
Contact with the header
cos φ(a) = (e + Rc − √((D/2)² − (d/2)² sin² a)) / ρ(a)
dos 63.0° ; flanc 39.5° ; ventre 0.0°
Kept length
l(a) = ρ(a) (θ − φ(a)) ; trusquin h(a) = ρ(a) sin(θ − φ(a))
dos 98.4 ; ventre 149.0 mm
Header hole
u = −ρ sin φ − x_sortie ; v = (D/2) asin((d/2) sin a / (D/2))
186.4 × 125.7 mm
Elbow cut: marks from the outlet face
| No. | Angle from the back (°) | Position around (mm) | Length on the generator (mm) | Height-gauge reading (mm) |
|---|---|---|---|---|
| 1 | 0.0 | 0.0 | 98.4 | 94.8 |
| 2 | 22.5 | 22.4 | 101.9 | 97.7 |
| 3 | 45.0 | 44.9 | 111.3 | 105.2 |
| 4 | 67.5 | 67.3 | 123.6 | 113.5 |
| 5 | 90.0 | 89.8 | 133.9 | 117.2 |
| 6 | 112.5 | 112.2 | 137.8 | 113.5 |
| 7 | 135.0 | 134.7 | 137.3 | 105.2 |
| 8 | 157.5 | 157.1 | 138.8 | 97.7 |
| 9 | 180.0 | 179.5 | 149.0 | 94.8 |
| 10 | 202.5 | 202.0 | 138.8 | 97.7 |
| 11 | 225.0 | 224.4 | 137.3 | 105.2 |
| 12 | 247.5 | 246.9 | 137.8 | 113.5 |
| 13 | 270.0 | 269.3 | 133.9 | 117.2 |
| 14 | 292.5 | 291.8 | 123.6 | 113.5 |
| 15 | 315.0 | 314.2 | 111.3 | 105.2 |
| 16 | 337.5 | 336.6 | 101.9 | 97.7 |
Header hole: points from the outlet centreline
| No. | Along the header (mm) | Around (from the top) (mm) |
|---|---|---|
| 1 | −34.4 | 0.0 |
| 2 | −28.0 | 22.1 |
| 3 | −9.1 | 42.2 |
| 4 | 20.3 | 57.1 |
| 5 | 55.3 | 62.8 |
| 6 | 88.3 | 57.1 |
| 7 | 114.8 | 42.2 |
| 8 | 135.1 | 22.1 |
| 9 | 152.0 | 0.0 |
| 10 | 135.1 | −22.1 |
| 11 | 114.8 | −42.2 |
| 12 | 88.3 | −57.1 |
| 13 | 55.3 | −62.8 |
| 14 | 20.3 | −57.1 |
| 15 | −9.1 | −42.2 |
| 16 | −28.0 | −22.1 |
Limits
Indicative results: they replace neither the applicable standards nor the job drawings and instructions. Check the values entered and the result before doing the work.
Sources
- Intersection tore / cylindre : Géométrie analytique : coude (tore) coupé par le cylindre du collecteur, 144 points ; trou développé sur le cylindre
- EN 10253-2:2021+A1:2026 (raccords à souder bout à bout) : Coudes 2D/3D (rayon R), tés égaux (F), réductions (L) ; tableaux Zickwolff, consultés le 08/11/2026 (link)
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