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Rectangular Duct Fittings by the Numbers

Patterns for rectangular elbows, offsets, transitions and branches, with the seams, cleats and stiffening that make them stand up

Develop rectangular duct fittings with numbers: radius and mitred elbows, single and diagonal offsets, transitions, shoe branches, seams, cleats, cross-breaking and the take-off.

10 chapters · About 100 minutes · Free to read · Intermediate sheet metal layout and fabrication

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KEVOS® LibraryMANUFACTURINGRectangular DuctFittings by theNumbersKEVOS® ORIGINAL BOOK10 CHAPTERS

About this book

Rectangular duct is made of flat panels folded at the corners, and its fittings look simpler than round ones: no curves to roll, no girths to calculate, just rectangles and a few angles. That simplicity is misleading. A rectangular elbow has two different shapes of piece that must match along curved edges. An offset that moves the duct sideways and down at once has faces whose true shapes appear in no view on the drawing. A transition from one rectangle to another has faces that look like rectangles and are trapezoids of different heights. And every fitting must allow for seams and joints that a roll former or a folder makes in its own way.

This book develops those fittings with numbers. Each chapter shows the traditional drawing method and calculates the same lines, so that a pattern can be marked on the bench, generated in a spreadsheet or checked against a CAD unfold. It starts with straight duct and its seams, works through elbows, offsets, transitions and branches, then covers joints and stiffening and ends with the take-off that turns a drawing into a cutting list.

It is for sheet metal workers, ductwork fabricators, apprentices and drafters, and for engineers who check fabrication drawings. It assumes school algebra and trigonometry. Readers who want round fittings should start with the Library’s Sheet Metal Patterns by the Numbers; readers who want airflow, pressure loss and fan duty should read Ductwork by the Numbers. This book is about making the rectangular pieces fit.

The running case

Every chapter follows one fictional job. This is an illustration. A small manufacturer is adding a make-up air supply to its assembly hall, and a sheet metal shop is making the rectangular ductwork. The duct is 600 × 400 mm inside, in 0.8 mm galvanised steel, with Pittsburgh-lock longitudinal seams and slip-on transverse joints. The run needs:

  • a transition from the air handler’s 800 × 500 mm outlet to the 600 × 400 mm duct, 600 mm long, flat on top;
  • straight duct in 1,200 mm lengths, with cross-broken panels;
  • a radius elbow turning the duct through 90° in the plane of its 400 mm dimension, with a 200 mm throat radius, and a mitred elbow where space is tight;
  • a single-plane offset moving the duct 300 mm sideways over a run of 900 mm;
  • a diagonal offset moving it 300 mm sideways and 250 mm down at once over 1,000 mm, to clear a beam and a sprinkler main;
  • a 45° shoe branch, 300 × 200 mm, off the side of the main to a second zone.

The manufacturer, the shop, the dimensions, the seam allowances and the mistakes are invented. None describes KEVOS® work or a real business.

How to use the book

Chapters 1 and 2 set the conventions, including which dimension of a rectangular duct is in the plane of a bend and how panel blanks are measured. The chapters on fittings can then be read in any order, although Chapter 6 on diagonal offsets builds on Chapter 5. Chapter 9 on joints applies to every fitting, and Chapter 10 brings the run together. Values are given to 0.1 mm so that the arithmetic can be followed; on the bench, rectangular fittings are marked to the nearest half millimetre.

Source limits and professional responsibility

The geometry is exact, and every calculation in this book was checked by running it. Seam, cleat, flange and stiffening dimensions depend on the shop’s machines and on the specification for the job, and the ones in this book are illustrations, to be calibrated with trial pieces as Chapter 9 shows. Duct gauges, reinforcement spacing and joint types for a real system come from its specification and the standards it calls up, which this book names but does not quote.

Air-handling systems affect health, comfort and, through fire dampers and smoke control, safety. Their design, sizing and installation are matters for a competent designer and the specification for the job, under the Australian standards and building requirements that apply. This book teaches the geometry of fittings. It is not a design for any duct system.

Who this book is for

Sheet metal workers, ductwork fabricators, apprentices and drafters who set out rectangular duct fittings, and engineers who check fabrication drawings and take-offs for them.

What you will learn

  • Develop cheek-and-wrapper and mitred elbows in rectangular duct, and know which face carries the bend.
  • Find the true offset, true angle and true face shapes of single-plane and diagonal offsets.
  • Develop rectangular transitions and shoe branches whose faces are all true shapes.
  • Allow for longitudinal seams, transverse joints, cleats and cross-breaking, and calibrate them on the shop's machines.
  • Take off a rectangular duct run into blanks, areas, mass and a fabrication list.

Inside this book

Chapters

  1. 01How rectangular duct is madeRectangular duct as folded panels: the dimension in the plane of a bend, cheeks and wrappers, one-, two- and four-piece construction, fold allowances, and an elbow turned the wrong way.
  2. 02Straight duct: blanks, seams and cross-breakingTurn 600 × 400 duct into L-shaped blanks with Pittsburgh and drive-cleat allowances, cross-break the wide panels, and find two L-pieces made with their pockets at one corner.
  3. 03Mitred elbows: cheeks, wrappers and the cut angleDevelop a 90° and a 45° mitred elbow in 600 × 400 duct: L-shaped cheeks, throat and heel wrappers, the mitre line's length, turning vane rails, and a 45° elbow cut at 45° that turned 90°.
  4. 04Radius elbows: cheeks and curved wrappersDevelop a 90° radius elbow, 400 in the plane of the bend with a 200 mm throat: annular cheeks, wrapper lengths, tangents, marking arcs, and a throat radius read as a centreline.
  5. 05Offsets in one planeDevelop a 300 mm offset over a 900 mm run, mitred and radiused: offset and cut angles, the Z-shaped cheek, equal side wrappers, a 750 mm S-curve and a second joint cut the wrong way.
  6. 06Diagonal offsets: true offset, true angle and true facesDevelop an offset that moves 600 × 400 duct 300 mm sideways and 250 mm down at once: true offset, true angle, parallelogram faces, unequal tangent corners, and offsets added instead of combined.
  7. 07Rectangular transitions: four flat trapezoidsDevelop the 800 × 500 to 600 × 400 transition, flat on top: why every face is a flat trapezoid, each face's true height, corner edges, a fold that is not 90°, and faces cut to the fitting's length.
  8. 08Branch take-offs and shoesTake a 300 × 200 branch off the 600 × 400 main: a 45° lateral, a square tap with a 45° shoe, holes that are true shapes in a flat panel, collars, and a shoe fitted facing downstream.
  9. 09Joints, seams and stiffening allowancesThe allowances behind every fitting: Pittsburgh and snap-lock seams, S and drive cleats, flanges on curved edges that stretch or shrink, cross-breaks, and a drive cleat cut to the face.
  10. 10The take-off and the fabrication listTake off the run: centreline lengths, areas by perimeter that are exact for elbows and offsets, pieces and seams, gross coil with allowances, and a coil order placed on net area.

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References and source notes

The manuscript and worked examples are original KEVOS® writing. References inform particular concepts; their authors do not endorse this book. Web references were consulted on 26 October 2026.

  • Ellsworth M. Longfield, McGraw-Hill Book Company, New York. Sheet Metal Drafting (first edition) (1921). Supplied source, read as a subject map of rectangular pipe elbows, offsets and diagonal offsets as taught in early trade schools. No text, figures, problems or answers are reproduced, and all numbers, cases and methods of checking in this book are its own.
  • Sheet Metal and Air Conditioning Contractors' National Association (SMACNA). HVAC Duct Construction Standards: Metal and Flexible (edition as called up). Named by title and scope as a widely used standard for rectangular duct seams, transverse joints, reinforcement and gauges. No values are quoted from it; the seam, cleat and stiffening dimensions in this book are illustrations.
  • Standards Australia. AS 4254.2 Ductwork for air-handling systems in buildings, Part 2: Rigid duct (edition as called up). Named by number and scope as the Australian standard for rigid ductwork in buildings. Nothing in this book claims compliance with it.
  • Standards Australia. AS 1397 Continuous hot-dip metallic coated steel sheet and strip (edition as called up). Named by number and scope as the product standard for galvanised sheet of the kind used in the running case. No values are quoted from it.
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