Pipe-to-square transition
Cylindrical pipe neck + square-to-round transition (4 flat triangles + 4 cone fans) — two blanks, exact volume, replaces pipe-to-square-cone.
How true is the flat pattern?
The surface is faceted or triangulated, so the pattern is an approximation. The error is known and printed as a number on the drawing — it is not hidden.
Dimensions are entered as: Inside dimensions. The flat pattern itself is always computed on the neutral fibre — at Ø800 in 3 mm sheet the difference between the inside and the outside dimension is 18.8 mm of developed width, and then the seam does not meet.
About the figure
Firkant-til-rund overgangskegle med en påsat rørstub: firkantet bund løftes via en trianguleret overgang op til en rund top, hvorpå der sidder en lige rørstub. Overgangen selv er fire plane trekant-flader og fire keglehjørner.
Bruges hvor en firkantet base/kasse skal kobles til et rundt rør via en stub, fx adapter mellem firkantet samlekasse og et rundt tilslutningsrør i ventilation eller aftræk. Klassisk overgangs- og studsarbejde i plade.
VVS-energi og teknisk isolatør — adapter mellem firkantet samlekasse og et rundt tilslutningsrør via en stub; studsarbejde i ventilation og aftræk.
Galvaniseret stålplade 0,7–1,25 mm; rustfri i proces. Overgangen valses, rørstubben rulles.
Source: Materialer/tykkelser: src/lib/kasse/materialer.ts (DIN 6935 for stål; massefylder og handelstykkelser; springback). Ventilation: DS 447:2021 + BR18 §§ 420–452 (src/lib/vvs/artikler.ts). Fremstillingsfælder: docs/PLAN-UDFOLDNINGSBIBLIOTEK.md §9.2/§4.
Trianguleringsmetoden
Til overgange uden apex og uden parallelle generatricer (rund→firkant, excentriske, skæve dele).
Del top- og bundkanten i punkter og forbind dem på kryds, så hele fladen dækkes af trekanter. Find HVER trekantsides sande længde (typisk via en sandlængde-trekant: plan-afstand vandret, højdeforskel lodret, hypotenusen = sand længde). Læg så trekanterne fladt én ad gangen ved at slå buer fra to kendte punkter (cirkelsnit) — som at folde et net ud. Randen forbindes til en jævn kurve.
What the dimensions mean
- Firkant-side (bund) — Firkant-side (bund)
- Sidelængden på den kvadratiske bund (mm).
- Rør-radius (top) — Rør-radius (top)
- Radius på den runde top og på rørstubben (mm).
- Overgangshøjde — Overgangshøjde
- Lodret højde på selve den firkant-til-rund overgang (mm), uden rørstubben.
- Rørlængde — Pipe length
- Længden på den lige rørstub, der sidder oven på den runde top (mm).
- Opdeling/kvart — Opdeling pr. kvart
- Antal delpunkter pr. kvart af den runde kant — styrer antal trekanter (uden enhed).
Draw the pattern yourself
Step by step with compass and square — in cardboard first, in sheet metal after.
- 01Udvikl overgangsstykket først: tegn den runde top (radius = Rør-radius) i sand størrelse og del omkredsen i 12 med ur-metoden; tegn den firkantede bund (Firkant-side) med dens fire hjørner.
- 02Læg dem koncentrisk i grundridset og forbind hvert af de 12 runde punkter til de nærmeste firkant-hjørner, så fladen dækkes af trekanter (fire keglehjørner + fire plane sider).
- 03For hver trekantside laves en sandlængde-trekant: vandret planafstand som den ene katet, Overgangshøjden som den lodrette katet, hypotenusen er den sande længde.
- 04Læg trekanterne fladt én ad gangen ved at slå buer (cirkelsnit) fra to kendte punkter og finde det tredje i skæringen; forbind de 12 runde randpunkter til en jævn kurve.
- 05Udvikl rørstubben separat som et lige rør: et rektangel med højde = Rørlængde og bredde = omkreds = 2·π·Rør-radius (parallel-linje-udfoldning).
- 06Saml stubben på den runde top — pas dens kant til den udfoldede runde kurve — og tilføj limflap/søm langs en lodret kant på både overgang og stub samt fals ved bunden.
Sømmen er bevægelig: brug klokkemålet til at lægge den lodrette samling, hvor det passer bedst. Placér helst overgangens søm midt på en plan side og lad rørstubbens søm flugte med den, så samlingen bliver kort og vandet ledes væk.
Watch out
- To delemner: overgangen (4 trekanter + 4 keglehjørner) OG rørstubben (lige cylinder) — udvikl dem hver for sig og lad sømmene flugte.
- Deler du omkredsen i for få stationer, bliver mønstret for lille: korden er kortere end buen. 12 dele er nok til pap, men til plade skal antallet højt (relativ mangel ≈ π²/6N²).
- Læg overgangens søm midt på en plan side og rørstubbens søm i forlængelse af den, så samlingen bliver kort.
The vocabulary of bending
The words and formulas the trade uses for a flat pattern. The symbols are the same throughout Discebo: α is the bend angle in degrees, R the inside bend radius, t the sheet thickness and K the K-factor — all in millimetres.
- Flat pattern (development)
- The part's surface laid out flat as one continuous cutting outline — the way the sheet looks BEFORE it is bent or rolled. Only a developable surface can be unfolded exactly; a doubly curved surface cannot be laid flat without stretching the material.
- Flat length
- The flat length the part must be cut to so the dimensions come out right once it is bent. It is either the sum of the outside dimensions minus the bend deductions, or the sum of the flat legs plus the bend allowances — both routes must give the same number.L = Σ(udvendige mål) − Σ(BD) = Σ(flade ben) + Σ(BA)
- Bend allowance
- The length of material that sits in the bend itself, measured along the neutral fibre. The bend allowance is always positive and is added to the flat legs.BA = (π/180) · α · (R + K · t)
- Bend deduction
- The amount subtracted from the sum of the outside dimensions, because the two outside dimensions between them count the corner twice. Here the bend deduction is taken as POSITIVE and subtracted; DIN 6935 writes the same quantity as the compensation value v with the opposite sign.BD = 2 · OSSB − BA
- Outside setback
- The distance from the theoretical outside corner point in to where the bend starts. Above 90°, tan(α/2) is clamped to at most 1 per DIN 6935, so the number does not explode towards 180°.OSSB = tan(α/2) · (R + t)
- Compensation value v to DIN 6935
- The standard's own way of writing the same corner loss: the flat length is a + b + v, where v is negative. Our bend deduction is therefore the same quantity with the opposite sign — never flip one without the other.L = a + b + v ⇒ v = −BD
- K-factor
- Where the neutral fibre sits in the sheet, given as a fraction of the sheet thickness. DIN 6935 writes the correction factor k, which applies to the neutral line in the form (R + t·k/2); the American CAD convention writes (R + K·t), so K = k/2.k = 0,65 + 0,5 · log₁₀(R/t), k ≤ 1,0 ⇒ K = k/2
- Neutral fibre
- The layer in the sheet that is neither stretched nor compressed when the part is bent. The flat pattern is always computed on the neutral fibre — which is why it matters whether the drawing's dimensions are inside or outside.
- Bend angle
- The angle the material is turned through, not the angle between the legs. The bend angle is 180° minus the included angle, so a square corner is 90° and a seam fold is 180°.α = 180° − åbningsvinklen
- Inside bend radius
- The radius on the inside of the bend. It is set by the tooling and the material, not by the drawing — too small a radius cracks the part in the outer fibre.
- Sheet thickness
- The thickness of the material. It enters every single bend allowance, so sheet delivered 0.2 mm thicker than ordered shifts the flat length at every bend.
- Fold line
- The line on the flat pattern where the part is to be bent. It is drawn but never cut through — in a laser file it therefore sits on its own layer.
- Test bend
- A strip of known raw length, bent in the material and the tooling that production will use. Measure the two outside legs afterwards and the bend deduction and K-factor can be worked back. The machine's own measured bend table beats any table.BD_målt = (A + B) − L₀
DIN 6935 covers only cold bending of flat products in structural steel. Stainless, aluminium, copper, brass and titanium zinc are not included — there the formulas are an extrapolation, and a test bend in the actual material settles it.
The dimensions you type
20 fields. The starting values belong to the figure itself — they live in one place in the code, so the tool, the share link and the smoke test can never disagree about what «default» means.
| Dimension in mm | Interval | Standard | Explanation |
|---|---|---|---|
| Which end is at the bottom?retning | Firkanten nederst, rørhalsen op · Røret nederst, firkanten op | Firkanten nederst, rørhalsen op | Flipping changes neither the pattern nor the volume — only which way the blank faces in 3D. |
| Square side A (inside)drivera_mm | 50–3.000 mm · step size 5 | 500 mm | — |
| Square side B (inside)driverb_mm | 50–3.000 mm · step size 5 | 300 mm | A and B don't have to be equal. If they differ, the four flat triangles come in two pairs of unequal size. |
| Pipe inside Ødriverd_mm | 50–2.500 mm · step size 5 | 250 mm | The pipe neck's clear bore. If Ø is larger than A or B, the corresponding triangles lean outwards — also allowed. |
| Transition heighth_mm | 30–3.000 mm · step size 5 | 300 mm | Vertical distance between square and pipe. Low height gives flat walls and a blank that can roll over itself. |
| Pipe neck lengthhals_mm | 15–1.500 mm · step size 5 | 120 mm | The length of the cylindrical nozzle above the round end — the part you slide into or over the adjoining pipe. |
| Design air velocityhastighed_ms | 0,5–20 m/s · step size 0,5 | 5 m/s | Used for q = A·v in the narrowest cross-section. The limits for noise and pressure loss are in DS 447 and in the project. |
| Goods thicknesst_mm | 0,4–6 mm · step size 0,1 | 1 mm | — |
| Material / alloylegering | DX51D+Z — hot-dip galvanised strip (ventilation standard) · DC01 — cold-rolled black steel · S235JR — structural steel · 1.4301 (AISI 304) — stainless · 1.4404 (AISI 316L) — acid-resistant · EN AW-5754 (AlMg3) — aluminium · EN AW-1050A — soft aluminium (insulation cladding) | DX51D+Z — hot-dip galvanised strip (ventilation standard) | — |
| The transition is divided intodele | 1 course (one vertical seam) · 2 courses (two seams, half blank) · 4 courses (one fan + one triangle per piece) | 1 course (one vertical seam) | Splits are only made on straight generators. A cut in the middle of a facet would give a curved cutting line. |
| Seam type (both blanks)soemtype | Butt-welded · Overlap (riveted/spot-welded) · Lock seam | Butt-welded | — |
| Root gapconditionalrodaabning | 0–4 mm · step size 0,1 | 0 mm | Divided by two per rim, so the total becomes the root gap per seam. 0 = tight butted edge. |
| Free edge of the square endfirkantkant | Sharp (unworked) · Sik (bukket opkant) · Fold-over · Flad fals · Flange · Butt seam to adjacent part | Sharp (unworked) | Anything other than «sharp» blocks the transition's cutting file until the triangulation gets its contour map — the millimetres are still in the table. |
| Free top edge of the pipe neckhalskant | Sharp (unworked) · Sik (bukket opkant) · Fold-over · Flad fals · Flange · Butt seam to adjacent part | Sharp (unworked) | The pipe neck's free top edge can have a hem/fold-over. That is shrinking (not bending) on a round rim — on small diameters the shrinkage can become too great, and the engine then honestly blocks the DXF rather than promise a pattern that does not fit. |
| Hem/fold-over/seam heightconditionalkanthoejde | 3–60 mm · step size 1 | 15 mm | — |
| Flange widthconditionalflange_bredde | 10–120 mm · step size 5 | 30 mm | — |
Advanced fields
Hidden by default — they have a sensible default, and most parts do not need them.
| Dimension in mm | Interval | Standard | Explanation |
|---|---|---|---|
| Offset in the A directioneks_a_mm | -1.200–1.200 mm · step size 5 | 0 mm | The pipe's centre is moved over the rectangle. The volume is unchanged (Cavalieri), but each cone fan gets its own half-angle. |
| Offset in the B directioneks_b_mm | -1.200–1.200 mm · step size 5 | 0 mm | — |
| The transition's vertical seam is placedsoem_ved | På en knæklinje (hjørne → berøringspunkt) · Midt i en hjørnevifte (ingen knæk i sømmen) | På en knæklinje (hjørne → berøringspunkt) | — |
| Seam width Wconditionalfals_W | 3–30 mm · step size 0,5 | 8 mm | — |
Ready-made presets
A preset sets every dimension at once. The name is often the word the part goes by in the workshop — the library's search knows them all.
Spiral duct spigot Ø250 on duct 500 × 300
Rectangular duct with a 120 mm pipe neck for spiral duct connection — 300 mm build height, hot-dip galvanised
Also known as: spirostuds · rørstuds · kanaltilslutning · spiroovergang · pipe to square
Exhaust box 400 × 400 with Ø200 pipe nozzle
Square box at the bottom, cylindrical pipe nozzle Ø200 × 150 mm upwards — the classic pipe-to-square cone
Also known as: aftrækskasse · rørstuds · pipe to square cone · kassestuds · afkaststuds
Hood outlet 800 × 500 → pipe Ø250
Large rectangle, pipe neck Ø250 × 150 mm in stainless — the corner fans dominate, the triangles become steep
Also known as: emhætte · emfang · afkaststuds · kokkenhaette · hood pipe
Chip extraction adapter 300 × 200 → pipe Ø160
Small workshop adapter in 1.5 mm black steel with 100 mm pipe neck — one piece, one seam per blank
Also known as: spånsug · spaanafsug · extraction · værkstedsadapter · suction nipple
Eccentric pipe nozzle up against the wall
The Ø250 pipe offset 120 mm in the A direction: one side stands vertical, the other becomes twice as flat
Also known as: eccentric · forskudt studs · asymmetric · op ad væg · offset pipe
Insulation cladding 500 × 300 → pipe Ø315
Cladding in 0.6 mm aluminium with pipe neck over an insulated transition — split into two sections so the sheet is kept taut
Also known as: isoleringskappe · alukappe · beklædning · kappestuds · isolering studs
Pipe at the bottom Ø200 → rectangle 400 × 400 at the top
Inverted: pipe neck at the bottom as inlet, square box at the top — same pattern, different assembly
Also known as: rørindgang · vendt studs · round to square · rund til firkant · indgangsstuds
Large adapter 1600 × 800 → pipe Ø900, four sections
Too large for one sheet: the transition is split into four, one corner + one triangle per piece, plus pipe neck Ø900
Also known as: stor adapter · fire skud · delt overgang · hovedkanal studs · industriadapter
Reservation
Read them before the part is cut. They are here because they cannot be calculated away — not as legal text, but as craft.
- The figure supplies the GEOMETRY for both blanks. Air volume, pressure loss, noise and velocity limits belong to the installation's design in accordance with DS 447 (Standard for ventilation systems) and the building regulations' requirements — the tool only calculates the continuity q = A·v and the two equivalent diameters d_e and d_h.
- The transition's pressure-loss coefficient depends on the change in angle and on the flow into the piece. It cannot be derived from the geometry alone and is not given in the figure; look it up in the installation's own documentation or in ASHRAE Fundamentals' fitting tables.
- The transition is developed APPROXIMATELY: the cone-fan arcs are replaced by chords, and the deficit is ≈ Δ²/24 at the angular step Δ. Only the four flat triangles and the pipe neck itself are exact. The error is given as a figure in the key figures and must not be rounded away.
- Edge allowances (bead, seam, flange, overlap, root gap) can be CALCULATED per edge, but not yet applied to the TRANSITION'S triangulated contour. If they are selected there, the cutting file is deliberately blocked — a blank in the wrong size is worse than no file. The pipe neck's edges, on the other hand, can carry an allowance.
- Fire dampers, fire-resistant ducts and penetrations through fire-separating building elements are NOT covered. A fire damper is a certified product to EN 15650, and a nozzle in that zone must be executed according to the damper supplier's installation instructions.
- Hangers, stiffening and leakage tightness are not sized. Duct leakage classes (EN 12237 for round, EN 1507 for rectangular ducts) set requirements for both seams and installation that the geometry does not determine.
- The figure takes no position on corrosion or choice of material in damp, chlorinated or hot environments. The choice of alloy is the user's, and the density follows the selected designation.
Onward from here
- See it in the 3D workshop Turn the figure and adjust the numbers. The 3D model is still called «pipe-to-square-cone» — the library took it over, but the id is immutable.
- Truncated cone development (cone/funnel) Metal worker
- Cylinder – sheet length for the body Metal worker
- Developed length in bending Metal fabricator
- Sheet development with K-factor Technical designer
- Channel insulation volume Insulation
- The box unfolder A whole box unfolded with dimensions on every side — the same bending maths.
- 3D-workshop All the platform's 3D figures, including those without a flat pattern.
- The whole library Every figure, grouped and searchable by the words you know them under.