TRN-AVIA22-02 · Lesson 3 · 44 clock hours · theory
Sheet Metal Structures: Theory and Layout
Objective. Students will calculate bend allowance, setback, and flat-pattern layout for aircraft-grade aluminum parts and identify rivet types, sizes, and spacing rules before performing any forming or riveting operations.
⚠ Pending professional review
This lesson, its worked examples and its practice questions has not yet been verified by a certified examiner or master technician in the trade or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.
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Why Sheet Metal Layout Matters
Before a single cut is made or a rivet is driven, every aircraft sheet metal repair or fabrication job begins with careful layout and calculation. Errors made on paper cost only time; errors cut into expensive 2024-T3 aluminum — or, worse, installed in an aircraft — cost money, airworthiness, and potentially lives. AC 43.13-1B, Acceptable Methods, Techniques, and Practices — Aircraft Inspection and Repair, Chapter 4, is the authoritative FAA reference for sheet metal work and must be consulted throughout this lesson.
Material: 2024-T3 Aluminum
2024-T3 is the most common aircraft structural aluminum alloy. The designation means: 2024 alloy (copper-based), T3 temper (solution heat-treated, cold-worked). It is strong, relatively lightweight, and has predictable forming characteristics. Because it work-hardens quickly, it must not be over-bent or re-bent without proper annealing. Always check the drawing for the correct alloy and temper before ordering or cutting stock.
Bend Allowance
When sheet metal is bent, the material on the inside of the bend compresses and the material on the outside stretches. Somewhere through the thickness is the neutral axis — the line that neither compresses nor stretches. The bend allowance (BA) is the length of material consumed by the bend along the neutral axis.
The K-factor describes the location of the neutral axis as a fraction of the material thickness. For most aircraft aluminum bent in the shop, a K-factor of 0.4173 (approximately 0.4) is used for bends with a bend radius equal to or greater than the material thickness. Your textbook or AC 43.13-1B tables give K-factors for other conditions.
Bend Allowance Formula:
```
BA = (0.01745 × R + 0.0078 × T) × Degrees of bend
```
Where:
- R = inside bend radius (inches)
- T = material thickness (inches)
- 0.01745 = π ÷ 180 (converts degrees to radians)
- 0.0078 ≈ 2π × K ÷ 360 (the K-factor constant for typical aircraft aluminum)
For a 90° bend this simplifies to:
```
BA = (0.01745 × R + 0.0078 × T) × 90
```
Setback
Setback (SB) is the distance from the bend tangent line (where the flat portion ends) back to the mold line (the imaginary extension of the flat surface). For a 90° bend:
```
SB = R + T
```
For bends other than 90°, use:
```
SB = tan(angle ÷ 2) × (R + T)
```
Setback is subtracted from the mold-line dimensions to locate the bend tangent lines on the flat pattern.
Flat-Pattern Development
The flat-pattern length is the total developed length of the part before bending. For a part with multiple flanges:
```
Flat pattern = (sum of all flat portions) + (sum of all bend allowances)
```
Flat portions are measured between bend tangent lines, not between mold lines. The process:
1. Identify each flat leg dimension from the drawing (mold-line to mold-line).
2. Calculate setback for each bend; subtract one SB per bend from each adjacent leg to get the flat leg length.
3. Calculate bend allowance for each bend.
4. Add all flat legs and all BAs.
Rivet Identification
Rivets are identified by their head style, material, shank diameter, and shank length using AN (Air Force-Navy) and MS (Military Standard) numbering systems.
Common head styles:
- AN470 — Universal head (most common structural rivet)
- AN426 — 100° countersunk (flush) head
- AN430 — Round head
- AN441 — Flat head
Material codes (dash letter after the AN number):
- AD — 2117-T4 aluminum (most common; driven cold)
- D — 2024-T4 aluminum (must be refrigerated or "ice-box" rivet)
- DD — 2024-T3 aluminum
- B — 5056 aluminum (for magnesium structure)
- A — 1100 or 3003 aluminum (non-structural)
Shank diameter is given in 1/32-in increments as the first dash number (e.g., -4 = 4/32 = 1/8 in).
Shank length is given in 1/16-in increments as the second dash number (e.g., -6 = 6/16 = 3/8 in).
Example: AN470AD4-6 = universal head, 2117-T4 aluminum, 1/8-in diameter, 3/8-in long.
Rivet Spacing Rules
Two critical spacing dimensions govern structural integrity:
- Edge distance (ED): The distance from the center of a rivet to the nearest edge of the sheet. Minimum ED = 2× the rivet diameter; preferred = 2.5×D.
- Pitch (spacing): Distance center-to-center between rivets in a row. Typical range: 3D minimum to 12D maximum for structural joints.
- Transverse pitch (gage): Distance between rows, typically 2.5D to 5D.
Always verify spacing requirements against AC 43.13-1B tables and the specific repair drawing.
Safety
- Wear safety glasses at all times when scribing, cutting, or drilling sheet metal — chips and scribe tips are eye hazards.
- Deburr all cut edges before handling; freshly cut aluminum is razor-sharp.
- Clamp stock securely before scribing to prevent movement and inaccurate layout.
- Never cut material until an instructor has verified the flat-pattern layout — material is expensive and the aircraft structure depends on accuracy.
- Apply lockout/tagout procedures on any power tools or equipment before changing blades or tooling.
Key terms8
Bend Allowance (BA)The length of material along the neutral axis that is used up by a bend; calculated using inside bend radius, material thickness, and degree of bend.
Setback (SB)The distance measured from the bend tangent line back to the mold line; used to locate bend tangent lines when developing a flat pattern.
Neutral AxisAn imaginary line through the thickness of bent sheet metal that experiences neither compression nor tension during bending.
K-factorA decimal value expressing the position of the neutral axis as a proportion of the material thickness; approximately 0.4173 for typical aircraft aluminum bends.
Flat-Pattern DevelopmentThe process of calculating the total laid-flat length of a formed part, equal to the sum of all flat leg lengths plus all bend allowances.
Edge Distance (ED)The distance from the center of a rivet hole to the nearest edge of the sheet; minimum is 2× rivet diameter.
Mold LineThe imaginary extension of a flat surface of a bent part, used as a reference for dimensioning on engineering drawings.
AN470ADThe designation for a universal-head rivet made from 2117-T4 aluminum alloy; the most commonly used structural rivet in general aviation sheet metal work.
Worked examples4
1. Calculate the bend allowance for a 90° bend in 0.040-in 2024-T3 aluminum with an inside bend radius of 0.125 in.
- Identify values: R = 0.125 in, T = 0.040 in, bend angle = 90°.
- Apply the formula: BA = (0.01745 × R + 0.0078 × T) × angle.
- BA = (0.01745 × 0.125 + 0.0078 × 0.040) × 90.
- BA = (0.0021813 + 0.000312) × 90.
- BA = 0.0024933 × 90.
- BA = 0.2244 in (rounded to four decimal places).
Answer: Bend allowance = 0.2244 in
2. Calculate the setback for the same 90° bend: inside radius 0.125 in, material thickness 0.040 in.
- For a 90° bend, the formula is: SB = R + T.
- SB = 0.125 + 0.040.
- SB = 0.165 in.
Answer: Setback = 0.165 in
3. A Z-channel bracket has two 90° bends. The drawing shows mold-line dimensions of 1.000 in (top flange), 1.500 in (web), and 0.750 in (bottom flange). Material is 0.040-in 2024-T3 with inside bend radius 0.125 in. Find the flat-pattern length.
- From the previous examples: BA = 0.2244 in per bend, SB = 0.165 in per bend.
- There are two bends, so total SB deductions per leg pair: each mold-line leg loses one SB for each adjacent bend.
- Flat top flange = 1.000 − 0.165 = 0.835 in.
- Flat web = 1.500 − 0.165 − 0.165 = 1.170 in.
- Flat bottom flange = 0.750 − 0.165 = 0.585 in.
- Total flat legs = 0.835 + 1.170 + 0.585 = 2.590 in.
- Total bend allowances = 2 × 0.2244 = 0.4488 in.
- Flat-pattern length = 2.590 + 0.4488 = 3.0388 in, rounded to 3.039 in.
Answer: Flat-pattern length = 3.039 in
4. A row of AN470AD4 rivets fastens two sheets together. What is the minimum allowable edge distance and the minimum allowable pitch (center-to-center spacing)?
- AN470AD4: the '-4' means diameter = 4/32 in = 0.125 in.
- Minimum edge distance = 2 × D = 2 × 0.125 = 0.250 in.
- Preferred edge distance = 2.5 × D = 2.5 × 0.125 = 0.3125 in.
- Minimum pitch = 3 × D = 3 × 0.125 = 0.375 in.
Answer: Minimum edge distance = 0.250 in; preferred edge distance = 0.3125 in; minimum pitch = 0.375 in
The math in this lesson2
Learners evaluate the bend allowance formula (0.01745R + 0.0078T) × angle and setback R + T for a 90° bend.
A-SSE.1N-Q.3
In class: Given three part drawings with specified bend radii and material thickness, calculate bend allowance and setback using the K-factor formula and verify results against the sheet metal calculator; check answers with the instructor before proceeding. · Identify 12 rivet samples by head style, material, and designation (MS and AN number systems) using FAA reference charts; record identifications on a datasheet and self-check against answer key. · Lay out a flat-pattern development for a Z-channel bracket on 0.040-in 2024-T3 sheet using scribers and combination squares, then verify layout dimensions against the drawing before any cutting occurs.
Materials: Aircraft sheet metal textbook, AC 43.13-1B Chapter 4, rivet identification sample set, 2024-T3 aluminum sheet stock, combination square, scriber, sheet metal calculator, rivet spacing charts, part drawings
Check: Bend-allowance and setback calculations within 0.005 in of instructor answer key; all 12 rivet IDs correct (minimum 10 of 12 to pass); flat-pattern layout dimensions within 1/32 in of drawing—instructor verifies before material is cut
Practice check8
Answer each question, then check it. Nothing is recorded; this is your own practice.
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