Plenum Box with Spigots: flat pattern
An open box folded from one blank with a row of round spigots on its back or a side: the box with every hole marked, and the spigots unrolled. An open box folded from one blank, with a row of round spigots set onto its back or onto a side: the box with every hole marked, and the spigots unrolled.
Open the plenum box with spigots in SheetMorphConfigurations
- Spigots on the back. The spigots stand on the back of the box, facing away from the open face, in a row along its length.
- Spigots on a side. The spigots stand on one side of the box, square to it, in a row across it at half its height.
A worked example
The spigots on the back configuration with the sizes SheetMorph opens with, in mm. 3 plates: the box blank with 2 holes in its back, and 2 spigots, alike: 11 parts, 8 seams.
| Blank of P1 | 1552.0 mm × 1252.0 mm |
| Blank of N1 | 630.4 mm × 100.0 mm |
| Blank of N2 | 630.4 mm × 100.0 mm |
| Length of cut, every outline and hole | 8529.8 mm |
| Bends (4) down, the pattern drawn outside face up | 90.0° |
| Bends (4) up, the pattern drawn outside face up | 90.0° |
| Length of the box | 901.00 mm |
| Width of the box | 601.00 mm |
| Height of the box | 300.50 mm |
| Spigot diameter | 201.00 mm |
| Flange | 25.00 mm |
| Overall length | 1552.00 mm |
| Overall width | 1252.00 mm |
| Square cut out of each corner | 325.50 mm |
| Number | 2 |
| Standing out from the box | 100.00 mm |
| Girth of each blank | 631.46 mm |
| Centre to centre | 450.00 mm |
| From the end of the box to the first centre | 225.00 mm |
| P1 Base, long | 1552.00 mm |
| P1 Base, wide | 1252.00 mm |
| N1 Spigot 1, long | 630.45 mm |
| N1 Spigot 1, wide | 100.00 mm |
| Plates | 3 |
| Triangular facets | 146 |
| Pattern extent X | 3588.89 mm |
| Pattern extent Y | 1252.00 mm |
| Area of the blanks | 1,645,392 mm² |
| Area cut out | 63,281 mm² |
| Net area | 1,582,112 mm² |
| Total cut length | 9791.80 mm |
| Longitudinal seam length | 1402.00 mm |
How it is developed
True-shape development of flat faces about the back; parallel-line development of the spigots. 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 box is one blank: the back with each side laid out from the edge it is folded on, a square cut out of each corner.
- Each spigot stands square on a flat face, so its foot is a true circle: its blank is a plain rectangle, as long as the spigot and as wide as its girth, and the hole is a circle as large as the spigot, marked on the back of the box.
- The weight is for the plates with the holes 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): 146 facets form an open box and 2 spigots set onto it: every edge inside a part joins exactly two facets, every open edge one (V - E + F = 1).
- Developed edges equal true 3D lengths (passed): 438 facet edges compared between the 3D surface and the flat pattern (max deviation 2.50e-12).
- Shared edges and seam closure (passed): 143 internal edges are shared vertex-for-vertex between adjacent facets; 6 seam(s) have mating edges of equal true length (max deviation 1.14e-13).
- 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 7.68e-9).
- Cut outlines closed and non-overlapping (passed): 3 closed outline(s); no outline crosses itself or another outline.
- HOLE-N1 lies within its plate (passed): 48 points of the hole compared with the edges of the plate; its developed area is 31640.3322.
- HOLE-N2 lies within its plate (passed): 48 points of the hole compared with the edges of the plate; its developed area is 31640.3322.
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 spigots are in one row, equally spaced and alike; spigots of different sizes, or set at an angle, are not modelled.
- The spigots meet the box as plain butt joints: no beading, notched tabs or flanged collar is drawn.
- The corners of the box are plain square notches, and its flange is cut square at the corners.
- 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.
Box. The box lies on its back at Z = 0, open face up, centred on the Z axis, its length along X and its width along Y. Corners are numbered 0 (-X, -Y), 1 (+X, -Y), 2 (+X, +Y), 3 (-X, +Y) seen from the open face; side 1 faces -Y, side 2 +X, side 3 +Y and side 4 -X. End A is the edge round the open face, or round its flange.
Spigots. The spigots are alike and stand square to the face they are on, in a row, each in the middle of its own equal share of the row: on the back along the length, pointing away from the open face; on side 2 along its width, at half the height of the box. End B is the open end of the first spigot, End C of the second, and so on. The hole for each is a true circle as large as the spigot.
Sizes and thickness. Length, width and height are those of the box, and the diameter that of the spigots, as inside, mid-thickness or outside sizes; the parts are developed on the mid-thickness surface. A flange is as wide as entered, measured from the side it is folded on.
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 plenum box with spigotsOther hoods, plenums and cyclones
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- Canopy, Round Collar: An extraction hood for a round duct: a skirt round a rectangular opening, a rectangle-to-round sloping part and a round collar, in the middle or against a wall.
- Inlet Box Scroll: The scroll of a fan inlet box laid flat: its straight sides and arc unrolled, each line across as deep as the box is there.
- Cyclone: A cyclone dust collector from its barrel diameter, to Stairmand or Lapple proportions or your own: barrel, cone, roof, inlet duct and gas outlet tube.