Square-to-round transition
4 flat triangles + 4 oblique cone fans with LOCKED corners — exact volume, eight true fold lines, and eccentricity that gives each fan its own half-angle.
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
Overgangsstykke fra en rektangulær bund til en rund top — et loftet plade-skørt, hvor de fire forskellige rektangelsider giver to par ulige store plane trekant-flader plus fire keglehjørner op mod den runde åbning.
Bruges hvor en rektangulær kanal eller åbning skal gå over i et rundt rør, fx fra et fladt rektangulært ventilationsspjæld eller filterhus til en rund kanal. Klassisk asymmetrisk overgangsstykke i ventilation og blikarbejde.
VVS-energi og teknisk isolatør — overgang fra rektangulært spjæld/filterhus til en rund kanal; asymmetrisk overgangsstykke i ventilation.
Galvaniseret stålplade 0,7–1,25 mm; rustfri i køkken og proces.
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
- Rektangel A — Rektangel A
- Den ene sidelængde (bredde) på det rektangulære bundhul (mm).
- Rektangel B — Rektangel B
- Den anden sidelængde (dybde) på det rektangulære bundhul (mm).
- Rund-radius (top) — Rund-radius (top)
- Radius på den runde åbning foroven (mm).
- Højde — Height
- Lodret afstand mellem den rektangulære bund og 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.
- 01Tegn den runde top i sand størrelse (radius = Rund-radius) og del omkredsen i 12 lige store dele med ur-metoden; nummerér 1–12.
- 02Tegn den rektangulære bund i sand størrelse (Rektangel A × Rektangel B) og marker de fire hjørner — bemærk at rektanglet er asymmetrisk, så de plane sider bliver ulige store.
- 03Læg figurerne i grundridset med fælles centrum og forbind hvert af de 12 runde punkter til de nærmeste rektangel-hjørner, så hele fladen dækkes af trekanter (fire keglehjørner + fire plane sider af to forskellige størrelser).
- 04For hver trekantside laves en sandlængde-trekant: vandret planafstand (fra grundridset, forskellig på lang og kort side) som den ene katet, Højden som den lodrette katet, hypotenusen er den sande længde.
- 05Læg trekanterne fladt én ad gangen ved at slå buer (cirkelsnit) med to kendte sande længder fra to allerede afsatte punkter og finde det tredje i skæringen.
- 06Arbejd hele vejen rundt — hold styr på asymmetrien — og forbind de 12 runde randpunkter til en jævn kurve.
- 07Tilføj limflap/søm langs den ene lodrette kant og fals ved top og bund.
Sømmen er bevægelig: brug klokkemålet til at vælge, hvor den lodrette samling ligger. På et asymmetrisk stykke er det ofte nemmest at lægge sømmen midt på en af de lange plane sider; vend den væk fra vandets løberetning.
Watch out
- De fire rektangelsider er uens, så du får to PAR ulige store trekant-flader — de to par må ikke forveksles ved opmærkning.
- 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 sømmen midt på en af de lange plane sider, hvor det er nemmest at samle.
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
19 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, rundt foroven · Rundt nederst, firkanten foroven | Firkanten nederst, rundt foroven | Flipping changes neither the pattern nor the volume — only which way the blank faces in 3D and on the drawing. |
| Square side A (inside)drivera_mm | 50–3.000 mm · step size 5 | 600 mm | — |
| Square side B (inside)driverb_mm | 50–3.000 mm · step size 5 | 400 mm | A and B don't have to be equal. If they differ, the four flat triangles come in two pairs of unequal size. |
| Round end, inside Ødriverd_mm | 50–2.500 mm · step size 5 | 400 mm | The pipe's clear bore. If Ø is larger than A or B, the corresponding triangles lean outwards — also allowed. |
| Height between the endsh_mm | 50–3.000 mm · step size 5 | 350 mm | Vertical distance. Low height gives flat walls, long cone fans and a blank that can roll over itself. |
| 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 — not here. |
| 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 cladding 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 typesoemtype | 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. |
| Upper edgetopkant | Sharp (unworked) · Sik (bukket opkant) · Fold-over · Flad fals · Flange · Butt seam to adjacent part | Sharp (unworked) | Anything other than «sharp» blocks the cutting file until the triangulation gets its contour map — the millimetres are still in the table. |
| Lower edgebundkant | Sharp (unworked) · Sik (bukket opkant) · Fold-over · Flad fals · Flange · Butt seam to adjacent part | Sharp (unworked) | — |
| 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 circle's centre is moved. The volume is unchanged (Cavalieri), but each conical fan gets its own half-angle. |
| Offset in the B directioneks_b_mm | -1.200–1.200 mm · step size 5 | 0 mm | — |
| The 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.
Unit nozzle 600 × 400 → Ø400
The standard transition from the unit's rectangular spigot to the spiral duct — 350 mm build height
Also known as: aggregatstuds · overgangsstykke · square to round · kanalovergang · spiroovergang
Square 400 × 400 → Ø315
The symmetrical textbook example: four identical triangles and four identical fans — the corner line is the 45° line
Also known as: kvadratisk overgang · firkant til rund · skoleeksempel · square to round · ligesidet overgang
Hood 800 × 500 → Ø250
Large rectangle, small round: the corner fans become the dominant faces and the triangles steep
Also known as: emhætte · emfang · kokkenhaette · udsugningshætte · hood transition
Filter box 1000 × 500 → Ø500, low construction height
Only 250 mm high: the flattest wall is below 45°, and the blank is close to rolling over itself
Also known as: filterboks · filterhus · lav overgang · trang overgang · loftrum
Eccentric transition up against the wall
The circle offset 150 mm in the A direction: one side stands vertical, the other becomes twice as shallow
Also known as: eccentric · forskudt overgang · asymmetric · op ad væg · offset transition
Chip extraction adapter 300 × 200 → Ø160
Small workshop transition in 1.5 mm black steel — built in one piece with a single seam
Also known as: spånsug · spaanafsug · extraction · værkstedsadapter · suction nipple
Insulation cladding over transition 500 × 300 → Ø315
Cladding in 0.6 mm aluminium over the insulation — split into two sections so the sheet can be kept taut
Also known as: isoleringskappe · alukappe · beklædning · kappeplade · isolering overgang
Round at the bottom: Ø200 → 400 × 400 extract box
Inverted transition — round pipe at the bottom, square box at the top; same pattern, different assembly
Also known as: aftrækskasse · skorstensovergang · round to square · rund til firkant · hætteovergang
Large transition 1600 × 800 → Ø900, four sections
Too large for one sheet: split into four, one corner + one triangle per piece, four vertical seams
Also known as: stor overgang · fire skud · delt overgang · hovedkanal · industriovergang
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. 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 triangulation development is APPROXIMATE: the cone-fan arcs are replaced by chords, and the deficit is ≈ Δ²/24 at the angular step Δ. Only the four flat triangles 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 cutting contour for a triangulated surface. If they are selected, the cutting file is deliberately blocked — a blank in the wrong size is worse than no file.
- 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 transition 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 «rect-to-round» — the library took it over, but the id is immutable.
- Template: Transitions Insulation's own template for the same part — with jacket diameter, overlap and area consumption.
- Transitions Isolering · skabelon
- Truncated cone development (cone/funnel) Metal worker
- Cylinder – sheet length for the body Metal worker
- Clinch nail – spacing and edge distance 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.