BLD-HVAC07-05 · Lesson 4 · 16 clock hours · lab
Sheet-Metal Measurement, Layout, and Pattern Development
Objective. Students will lay out and scribe patterns for a straight rectangular duct section, an S-drive slip joint, and a 45-degree elbow transition on sheet metal within 1/8-inch tolerance.
Why Precision Layout Matters
Every duct section you fabricate starts as a flat piece of sheet metal. If your flat-pattern layout is wrong, every bend, seam, and joint will be off. A duct that is even 1/4 inch out of square can refuse to connect to the next section, leak conditioned air, or cause noise problems at high velocity. The industry tolerance for layout work is 1/8 inch — that is the standard you will meet in this lab and on the job.
Accurate layout also reduces material waste. Sheet metal costs money, and cutting a blank wrong means scrapping it. Measuring twice and scribing once is not just a saying; it is how professional sheet-metal mechanics protect their employer's materials and their own time.
Tools and Their Correct Use
Steel rule: A rigid 12- or 24-inch stainless rule is your primary measuring instrument. Always read from the 1-inch mark when measuring short distances to avoid the worn end, then subtract 1 inch from your reading. Keep the rule flat against the metal surface so parallax error does not shift your reading.
Combination square: The combination square holds a blade at 90° or 45° to its stock. Use it to draw lines that are perfectly perpendicular to a reference edge, to check squareness of a corner, and to mark 45-degree cut lines for elbow gores. Keep the stock pressed firmly against the sheet edge throughout the stroke.
Scratch awl: A scratch awl scribes a thin, permanent line into the zinc coating of galvanized steel. Press firmly and drag in a single continuous stroke — do not sketch back and forth. A scribed line is more accurate than a pencil mark because it has no width.
Paper for pattern development: Before scribing on sheet stock, develop elbow gore patterns on paper at full scale. This lets you check geometry without wasting metal. Transfer the paper pattern to the sheet by taping it flat, then scribing through the paper outline.
Rectangular Duct Layout: Allowances You Must Add
A 10-inch × 8-inch × 48-inch rectangular duct has four sides. To lay out the blank, you unfold those four sides into one flat strip, then add seam allowances on both long edges.
- Pittsburgh lock allowance: The Pittsburgh lock (also called the Pittsburgh seam) is the most common longitudinal seam in rectangular duct. It consists of a female pocket on one edge and a male hook on the other. A standard Pittsburgh lock requires approximately 3/8 inch for the female pocket side (sometimes referenced as the "pocket" allowance) and approximately 1/4 inch for the male hook side — check your shop's reference table, because tooling varies. Add these allowances to the total blank width before scribing.
- Drive-cleat allowance: Drive cleats connect duct sections end to end. Each end of the section receives a 3/8-inch hem (fold) that the cleat slides over. Add 3/8 inch to each end of the blank for a total of 3/4 inch added to the 48-inch finished length.
- Corner allowance: Where the flat strip bends into the four sides, you lose a small amount of metal to the bend radius. For 26-gauge galvanized steel on standard shop brakes, this is typically one material thickness per 90° bend — about 0.018 inch per corner bend. In most shop layouts this is folded into a nominal allowance; follow your instructor's reference table.
Always write your allowance calculations in your lab log before picking up a rule. That written record lets you catch math errors before they become scrap.
Developing a 45-Degree Elbow Gore Pattern
A low-velocity rectangular elbow is often fabricated as a two-piece or three-piece mitered elbow. Each piece is called a gore. For a 45-degree elbow, you cut two gores at 22.5 degrees each so they mate at the centerline to produce the full 45-degree turn.
Geometric layout steps on paper:
1. Draw the duct centerline and establish the throat and heel dimensions from your duct size and radius tables.
2. Mark the miter cut angle (22.5° for each gore of a 45° elbow) using your combination square set to 45° — the miter line bisects the elbow angle.
3. Develop each gore as a trapezoid: the heel dimension is longer than the throat dimension. Calculate the heel and throat lengths from your reference table or by direct geometric construction.
4. Add seam allowances on both ends of each gore before scribing on metal.
Check your paper pattern by folding the two gores together; the throat and heel edges should align flush.
Safety in the Sheet-Metal Lab
- Cut-resistant gloves are required when handling any sheet-metal blank. Raw edges are razor-sharp.
- Safety glasses must be worn throughout the lab. Scribing can throw small zinc chips.
- Lay blanks flat on the bench — never lean them against a wall where they can fall and cut someone.
- When measuring, keep your free hand clear of the scratch awl tip.
- Report any cut immediately; first-aid supplies are located at the instructor's station.
- Do not operate shears or brakes in this lab session — those operations occur in the next lab after your layouts are approved.
Lab Log and Inspection
Record every dimension, every allowance calculation, and every measured result in your lab log before the instructor checks your work. If any of your three inspected dimensions is outside 1/8-inch tolerance, identify which allowance was wrong, recalculate it, and explain in writing what you will do differently. This process — measure, compare, correct — is the same systematic approach you will use diagnosing a poorly fitting duct on the job.
Key terms10
Flat-pattern layoutThe full-size outline of a duct fitting drawn on a flat sheet of metal before any bending or cutting takes place; it must include all seam and hem allowances.
Pittsburgh lock (Pittsburgh seam)The most common longitudinal seam used to close rectangular duct; it consists of a female pocket formed on one edge and a male hook on the other edge that is driven in with a hammer or seaming tool.
Drive cleatA channel-shaped connector slid over hemmed duct ends to join two rectangular duct sections together; requires a hem allowance at each end of the duct blank.
GoreOne individual mitered piece that, when assembled with other gores, forms an elbow or transition fitting.
Scratch awlA pointed hand tool used to scribe a fine, permanent line into sheet metal for layout; produces a more accurate and consistent line than a pencil or marker.
Combination squareA layout tool with a sliding blade that can be locked at 90° or 45° to its stock, used to draw perpendicular and miter lines on sheet stock.
Seam allowanceExtra material added to the edge of a flat-pattern layout to form a seam (such as a Pittsburgh lock or S-drive slip joint); must be calculated and added before scribing the blank.
Hem allowanceA narrow strip of metal folded back on itself at the end of a duct section to create a stiffened edge that a drive cleat or S-drive slip can grip; typically 3/8 inch wide.
ToleranceThe maximum acceptable difference between a measured dimension and the design dimension; the industry standard for duct layout is 1/8 inch.
Miter cutAn angled cut across a duct section used to produce elbow gores; for a 45-degree two-piece elbow, each miter is cut at 22.5 degrees from the duct centerline.
Worked examples4
1. Calculate the total blank width for a 10-inch × 8-inch rectangular duct section using a Pittsburgh lock seam. The Pittsburgh pocket allowance is 3/8 inch and the male hook allowance is 1/4 inch.
- Add the four side dimensions: 10 + 8 + 10 + 8 = 36 inches total perimeter.
- Add the Pittsburgh pocket allowance: 36 + 3/8 = 36.375 inches.
- Add the Pittsburgh hook allowance: 36.375 + 1/4 = 36.625 inches.
- The total blank width to scribe is 36 and 5/8 inches (36.625 inches).
Answer: 36 and 5/8 inches (36.625 inches)
2. Calculate the total blank length for the 48-inch finished duct section, adding drive-cleat hem allowances of 3/8 inch on each end.
- Identify the finished (inside-to-inside) length: 48 inches.
- Add hem allowance for the first end: 48 + 3/8 = 48.375 inches.
- Add hem allowance for the second end: 48.375 + 3/8 = 48.750 inches.
- The total blank length to scribe is 48 and 3/4 inches (48.75 inches).
Answer: 48 and 3/4 inches (48.75 inches)
3. A student scribes a blank and measures the width as 36 and 7/16 inches. The correct dimension is 36 and 5/8 inches. Is this within the 1/8-inch tolerance, and by how much does it deviate?
- Convert both dimensions to sixteenths: 36 and 5/8 inches = 36 and 10/16 inches; 36 and 7/16 inches stays as 36 and 7/16 inches.
- Find the difference: 10/16 − 7/16 = 3/16 inch.
- Compare to tolerance: 3/16 inch is greater than 1/8 inch (= 2/16 inch).
- The deviation is 3/16 inch, which exceeds the 1/8-inch tolerance. The student must rework the layout.
Answer: The deviation is 3/16 inch — outside tolerance; the layout must be corrected.
4. For a two-piece 45-degree rectangular elbow, at what angle is each miter cut made relative to the duct centerline?
- A two-piece elbow produces the full turn angle by joining two equal gores.
- Divide the total elbow angle by the number of miter cuts: 45° ÷ 2 = 22.5° per gore.
- Each gore is cut at 22.5 degrees from the perpendicular (square) end of the duct centerline.
- When the two 22.5-degree faces are mated, they produce the full 45-degree direction change.
Answer: 22.5 degrees per gore (each miter cut is at 22.5° from the duct centerline).
The math in this lesson2
Learners add fractional seam allowances to duct perimeter to find blank width and length.
7.NS.3N-Q.3
In class: Use a combination square and scratch awl to scribe a full-size flat-pattern layout for a 10-inch × 8-inch × 48-inch rectangular duct section including Pittsburgh lock and drive-cleat allowances. · Develop an elbow gore pattern on paper using geometric layout methods, transfer to sheet stock, and scribe cut lines for each gore piece. · Measure finished layouts with a steel rule and compare to design dimensions; record all measurements in a lab log and recalculate allowances where deviations exceed tolerance.
Materials: 26-gauge galvanized sheet steel (pre-cut to safe blanks), combination squares, scratch awls, steel rules, paper for pattern development, lab-log notebooks, duct-design reference tables
Check: Instructor measures three critical dimensions on each student's scribed layout; all must be within 1/8 inch of specification to advance to fabrication.
Practice check8
Answer each question, then check it. Nothing is recorded; this is your own practice.
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