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Sheet Metal Parts by the Numbers
Designing and drawing folded sheet metal parts: bend radius, K-factor, flat patterns, springback, features near bends, forces and tolerances
Design and draw folded sheet metal parts with numbers: bend radius, K-factor, bend allowance, flat patterns, springback, features near bends, forces and tolerances.
Start readingAbout this book
A folded sheet metal part starts life flat. It is cut from a sheet by laser, punch or shear, then bent on a press brake, one fold at a time, into a bracket, a cover, a channel or an enclosure. Everything about it depends on what happens in the bends: the metal stretches on the outside and compresses on the inside, the bent region takes up a length that is neither the inside nor the outside dimension, the bend springs back when the punch lifts, and any hole too close to the bend is pulled out of shape. A designer who knows those numbers draws parts that fold right first time. One who does not draws parts that fold nearly right, and the difference is found at the press brake.
This book works through the numbers in the order a part is designed: the bend radius and what limits it, the neutral axis and K-factor, the flat pattern, springback, features near bends, flanges and hems, the forces the press brake and punch must supply, tolerances that a folded part can hold, and the detail drawing that brings them together. Each chapter calculates with one part and shows a plausible mistake and how it was found.
It suits mechanical designers and drafters who design sheet metal parts, fabrication engineers who prepare flat patterns, and buyers who must judge a supplier’s queries. It assumes school algebra and trigonometry and a working knowledge of engineering drawing. The Library’s collection chapter on designing sheet metal parts for economical manufacture gives a shorter overview; this book goes into the calculations behind it.
The running case
Every chapter follows one fictional part. This is an illustration. A machinery builder needs a bracket to mount a variable speed drive on a conveyor frame. It is a C-shaped channel folded from 2.0 mm cold-rolled mild steel: a base 160 mm wide, two legs 60 mm high and two return flanges 15 mm wide, all as outside dimensions, and 300 mm long along the bends. Four Ø7 holes in the base take the drive’s M6 screws, and each leg has two 9 × 20 mm slots for M8 bolts to the frame. All four bends are 90° with an inside radius of 2 mm, and the part is powder coated after folding. Its folding supplier has a press brake and a turret punch, and its first K-factor for this material and tooling, from trial strips, is 0.40.
The business, the supplier and the mistakes are invented, and the material properties are illustrations rather than a grade’s specified values. None describes KEVOS® work or a real supplier.
Source limits and professional responsibility
The geometry in this book is exact, and every calculation was checked by running it. The process relationships, for minimum radius, springback and force, are published models that describe trends and give estimates; real values depend on the material batch, the tooling and the machine, and the book shows how to calibrate them with trials. Published rules of thumb for features near bends and minimum flanges vary between suppliers, and the book quotes one supplier’s guide as an example only.
Press brakes and punches are dangerous machines, and force estimates in this book are for planning and quoting, not for setting a machine. Machine capacities, tooling limits and guarding are matters for the machine’s manufacturer, the operator and Australian work health and safety requirements. The parts in this book are examples of design method, not designs for a particular duty.
Who this book is for
Mechanical designers, drafters and fabrication engineers who design folded sheet metal parts, prepare their flat patterns and detail drawings, and work with a folding or laser cutting supplier.
What you will learn
- Choose a bend radius from the material's ductility and the folder's tooling, and know what limits it.
- Calculate bend allowance, bend deduction and a flat pattern from a K-factor, and calibrate the K-factor.
- Estimate springback and the overbend a folder needs, and why measured springback can differ.
- Place holes, slots, reliefs and flanges where the bend will not distort them, and estimate folding and punching forces.
- Tolerance and draw a folded part so that a supplier can make it and an inspector can accept it.
Inside this book
Chapters
- 01From flat sheet to folded partHow a folded sheet metal part is made, what happens in a bend, inside and outside dimensions, the effect of sheet thickness, bend sequence and the running case bracket.
- 02Bend radius and what limits itChoose an inside bend radius: outer fibre strain, a minimum radius from the material's ductility, the radius air bending actually forms, the folder's tooling, and why tighter is not better.
- 03Neutral axis, K-factor and bend allowanceWhere the neutral axis sits in a bend, what the K-factor means, how to calculate bend allowance for any angle, how sensitive the flat is to K, and how to calibrate K from trial strips.
- 04Flat patterns and bend deductionsDevelop a flat pattern two ways, by flats plus bend allowances and by outside dimensions less bend deductions, place holes and bend lines on the flat, and catch features placed by folded dimensions.
- 05Springback and overbendingEstimate springback from material strength, modulus, radius and thickness, see why it grows with radius, calculate the overbend a folder needs, and what a small angle error does to a flange.
- 06Holes, slots and reliefs near bendsKeep holes and slots clear of the bend's deformation zone, size bend reliefs where a bend stops inside the blank, respect edge distances, and catch a cable hole too close to a bend.
- 07Flanges, hems, joggles and the dieFind the shortest flange a die can bend, see why it grows with the die opening, design hems and joggles, and catch a thicker variant whose return flanges would fall into the die.
- 08Press brake force and punching forceEstimate air bending force from a manufacturer's formula converted to SI, see how bottoming multiplies it, estimate punching force from cut perimeter, and why small holes break punches.
- 09Tolerances on folded partsWhere variation in a folded part comes from, why tolerances grow with every bend crossed, how angle error moves a flange, and how to set tolerances and datums a folder can hold.
- 10The sheet metal detail drawingBring the book's numbers onto one drawing: folded views, a flat pattern view, a bend table with directions, notes for material, radius, K-factor, tolerances, burrs, grain, coating and inserts.
Apply This in Practice
Use these KEVOS® tools to try the method from this reading with your own numbers.
Applies this method
Minimum and Maximum Bend Radius
Applies the bend radius limit relationship from this chapter.
Used in Bend radius and what limits it
Applies this method
Press Brake Bending Force
Calculates press brake bending force. It uses a constant of 1.33 by default and lets you change it, as this chapter discusses.
Applies this method
Punching Force Estimate
Applies the punching force relationship from this chapter.
Applies this method
Sheet Bend Allowance and Deduction
Gives bend allowance, setback and deduction for any bend from a K-factor you supply.
Applies this method
Sheet Metal Bending Springback
Estimates springback and overbending.
Used in Springback and overbending
Learning pathway
Develop a flat blank for a bent part
Learn how the neutral axis and K-factor set bend allowance, then size the blank for your own bend.
1 Learn
Read Neutral axis, K-factor and bend allowance in Sheet Metal Parts by the Numbers.
Where the neutral axis sits in a bend, what the K-factor means, how to calculate bend allowance for any angle, how sensitive the flat is to K, and how to calibrate K from trial strips.
2 Apply
Open Sheet Bend Allowance and Deduction and enter your own figures.
What developed length follows from this bend and K-factor?
3 Verify
Read the tool’s feasibility and verification checks under the result, and test your answer against its stated limitations:
- K is process-specific, not a material constant. Outside-dimension conventions must match this method.
- No bend-force, minimum-radius, springback or manufacturability prediction.
- Example values are illustrations. Replace them with values for your actual task.
4 Improve
Download the decision report or copy the link with your inputs to keep a record, then change one assumption at a time and compare.
Next reading: Springback and overbending in Sheet Metal Parts by the Numbers.
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.
- School of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney. Engineering Drawings: Detail Drawings (lecture, ENGG1960) (2014). Supplied lecture slides, read as a subject map of detail drawing content, including example detail drawings of folded sheet steel chassis parts. No slides, drawings, wording or exercises are reproduced.
- Dassault Systèmes. K-Factor (SOLIDWORKS Design Help) (2026). Reference for the definition of the K-factor as the neutral axis position divided by thickness, and for the bend allowance relationship used in Chapters 3 and 4.
- Bystronic. How to calculate press brake tonnage (2021). Source of the inch-based air bending tonnage formula and its material and method factors, converted to SI units in Chapter 8. The conversion is this book's own.
- Mate Precision Technologies. Calculating punching force (2020). Reference for the punching force estimate from cut perimeter, thickness and shear strength in Chapter 8.
- Fabcon. Sheet Metal Design for Manufacturability: Engineers' Guide (2026). One fabricator's published rules of thumb for minimum bend radius, flange length, hole distance from a bend and a general formed-feature tolerance, quoted in Chapters 6, 7 and 9 as examples. Other suppliers publish different values; the book treats them as starting points to confirm with the folder.
- J. Datsko and C. T. Yang, Journal of Engineering for Industry, vol. 82. Correlation of bendability of materials with their tensile properties (1960). Source of the minimum bend radius relationship with reduction of area used in Chapter 2.
- F. J. Gardiner, Transactions of the ASME, vol. 79. The springback of metals (1957). Source of the elastic springback relationship for pure bending used in Chapter 5.
- Standards Australia. AS 1595 Cold-rolled, unalloyed, low carbon and high strength steel sheet and strip (edition as called up). Named by number and scope as an Australian product standard for the kind of sheet in the running case. No values are quoted from it; the running case's material properties are illustrations.