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Elbow development

What it is

The elbow is the two-gore bend: two half shells cut at an angle and welded to each other. It is the cheapest direction change in plate, with a single circumferential weld.

Where it is used

Offsets in exhaust and ventilation, discharges, short connections where there is no room for a larger radius.

Measurements the calculation needs

  • D Outside diameter of the tube
  • X Leg 1 (inside corner to mouth)
  • Y Leg 2 (inside corner to mouth)
  • DV Divisions
  • THK Plate thickness

Worked example

The values the form comes pre-filled with, run through the tool itself:

Outside diameter of the tube 200 mm
Leg 1 (inside corner to mouth) 50 mm
Leg 2 (inside corner to mouth) 200 mm
Divisions 16
Plate thickness 10 mm
The flat pattern fits a plate of 597 × 395 mm
Flat patterns produced 2

Result of the example

Plate 1 597 × 245 mm
Plate 2 597 × 395 mm
Elbow flat pattern: drawing of the template with the worked example dimensions
Cut lines in purple, welds in green and reference lines in orange. Plate 597 × 395 mm.

How to mark it out on the plate

  1. The 90° elbow is two half shells cut at 45°: each half is the truncated cylinder with α = 45°, and the two legs X and Y give the length of each half.
  2. Mark each half as a truncated cylinder: a rectangle of π × (D − t) by the high side, dv elements, a sine wave of amplitude (D − t) × tan 45° = D − t.
  3. Roll both halves, turn one half a turn against the other and weld the circumferential joint: a single seam.

Common mistakes and tolerances

Taking the legs along the heel
X and Y are measured from where the AXES meet to each opening. Along the heel each leg looks D/2 shorter.
Seams on the same side
With both longitudinal seams in line, the longitudinal weld crosses the circumferential one at the most stressed point of the elbow. Turn one half round.

Guides about this part

Frequently asked questions

How does the elbow differ from a segmented bend?
The elbow is the two-gore case. It is quicker to make, but the change of direction is abrupt and pressure loss is higher than with more segments.
What are X and Y?
The two legs of the elbow, measured from where the axes meet to each opening. Together they set the offset angle.
Elbow dimension drawing: D (Outside diameter of the tube), X (Leg 1 (inside corner to mouth)), Y (Leg 2 (inside corner to mouth)), DV (Divisions), THK (Plate thickness), marked on the part
Calculate a Elbow

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Related parts: Segmented bends and elbows