Flat-Oval Tee: flat pattern
A round or flat-oval branch on the flat side of a flat-oval main: the main with its hole, and the branch cut to the main. A round or flat-oval branch set square onto the flat side of a flat-oval main: the main unrolled with its hole marked, and the branch with its foot cut to the main.
Open the flat-oval tee in SheetMorphConfigurations
- Round branch. A round branch on the flat side of the main.
- Flat-oval branch. A flat-oval branch on the flat side of the main, its long way along the main.
A worked example
The round branch configuration with the sizes SheetMorph opens with, in mm. 2 plates: the main with its hole, and the round branch: 2 parts, 3 seams.
| Blank of P1 | 1944.1 mm × 1000.0 mm |
| Blank of P2 | 787.3 mm × 200.0 mm |
| Length of cut, every outline and hole | 7862.7 mm |
| Main, long way | 801.00 mm |
| Main, short way | 301.00 mm |
| Branch diameter | 251.00 mm |
| Main length | 1000.00 mm |
| End A to the axis of the branch | 500.00 mm |
| Branch length, from the flat side | 200.00 mm |
| Width of each flat | 500.00 mm |
| Girth of the plate | 1945.62 mm |
| Girth of the plate | 788.54 mm |
| End A to the near edge of the hole | 374.50 mm |
| Along the main | 251.00 mm |
| P1 Main, long | 1944.10 mm |
| P1 Main, wide | 1000.00 mm |
| P2 Branch, long | 787.27 mm |
| P2 Branch, wide | 200.00 mm |
| Plates | 2 |
| Triangular facets | 136 |
| Pattern extent X | 3217.40 mm |
| Pattern extent Y | 1000.00 mm |
| Area of the blanks | 2,101,556 mm² |
| Area cut out | 49,340 mm² |
| Net area | 2,052,216 mm² |
| Total cut length | 8650.73 mm |
| Longitudinal seam length | 1200.00 mm |
How it is developed
Parallel-line development: the main unrolled, the branch unrolled with each line cut to where it meets the main. This is a triangulated approximation: the curved surface is divided into small flat triangles, each laid out at its true size. The finer the division, the closer the pattern is to the surface; SheetMorph states the deviation it found.
- The main unrolls to a rectangle as long as the main and as wide as its girth: two flats and the circle its round ends make.
- The branch stands wholly on the flat of the main, so its foot is flat and the branch unrolls to a rectangle; the hole is its true shape.
- The weight is for the plates with the hole cut out.
Checked before it can be exported
Every pattern SheetMorph draws is checked against the 3D part it comes from. For this example:
- Surface connectivity (passed): 136 facets form a main and a branch set onto it: every edge inside a part joins exactly two facets, every open edge one (V - E + F = 0).
- Developed edges equal true 3D lengths (passed): 408 facet edges compared between the 3D surface and the flat pattern (max deviation 1.23e-12).
- Shared edges and seam closure (passed): 134 internal edges are shared vertex-for-vertex between adjacent facets; 2 seam(s) have mating edges of equal true length (max deviation 8.53e-14).
- Developed facets consistently oriented (passed): All developed facets are counter-clockwise (outside face up); none is mirrored or degenerate.
- Developed area equals surface area (passed): Facet area in 3D and in the flat pattern agree (difference 1.26e-8).
- Cut outlines closed and non-overlapping (passed): 2 closed outline(s); no outline crosses itself or another outline.
- HOLE-C lies within its plate (passed): 48 points of the hole compared with the edges of the plate; its developed area is 49339.6838.
Assumptions
- The pattern is developed on the mid-thickness surface; inside or outside sizes are converted to it by the thickness.
- Curves are chains of chords between division points.
- No seam, lap, weld-preparation or pressing allowance is added.
Limits of this module
- The branch is square to the main and on its flat side only; a branch at an angle, or on a round end, is not modelled.
- The branch and the main are separate parts butted together at the hole; no collar or seam allowance is added there.
- A flat-oval branch has its long way along the main; one turned across it is not modelled.
- Curves are chains of straight chords between division points.
- No seam, lap, weld-preparation or pressing allowance is added, and plates are not nested onto stock sheets.
Conventions
Coordinate system. The part stands on the Z axis with End A at Z = 0. Angles round the axis are measured from +X toward +Y, counter-clockwise seen from +Z.
Divisions and thickness. A circle is divided into 4N equal chords. Sizes are inside, mid-thickness or outside sizes; the pattern is developed on the mid-thickness surface and the views show the sizes as entered.
Main. The main runs along the Z axis from End A at Z = 0 to End B. Its long way, across the flats, is along X and its flat sides face +Y and -Y; each end is a half circle as wide as the main is across its round ends. The main is cut along the middle of its flat side on -Y.
Branch. The branch stands square on the flat side on +Y. Its position is measured from End A to its axis, and its length from that flat side to its open end, End C. A flat-oval branch has its long way along the main. Where the branch is wider than the flat of the main, its foot runs down onto the round ends, and is cut to them.
Change the sizes to your own in SheetMorph, check the drawing, add seam and flange allowances, and export DXF, PDF, SVG, CSV or G-code. Check every pattern against your own standards before cutting.
Open the flat-oval teeOther branches
- V-Piece: Breeches pieces: one round inlet dividing into two round branches, equal or unequal, level or angled.
- Y-Piece: A trunk dividing into two branches on flat miter cuts, symmetric or as a lateral, the branches of the trunk diameter or tapering to smaller ends.
- Twin Bend: A trunk dividing into two segmented bends that turn opposite ways: a bullhead at 90°, or any angle you give.
- Twin Bend to Rectangle: A round trunk dividing into two segmented bends that turn opposite ways and change to rectangular duct as they turn: a bullhead at 90°, or any angle you give.
- Three- or Four-Way: A round trunk that divides into three or four equal branches spaced evenly round it: a trifurcation or a four-way piece.
- Rectangular Y: A rectangular trunk dividing into two rectangular legs side by side: a trouser piece, with equal or unequal legs.
- Rectangle to Two Rounds: A rectangular inlet that divides into two round outlets side by side, as two square-to-rounds on one dividing edge.