Box and Tray Blank Calculator

The flat blank for a sheet metal tray or open box: four flanges bent up from one sheet. Enter the outside size, the thickness, inside radius and K-factor, and get the blank size, the bend lines, the corner notches and a DXF.

The method behind it: How to lay out a sheet metal box or tray by hand — step by step, with sources.

Dimensions

The tray (outside dimensions)
Units
Material and bends
From a test bend if you can — see the K-factor calculator.

Results

Preview

The blank

How this tool is verified

  • A worked tray checked by hand from the bend formulas: setback, allowance, deduction, flat size and bend-line positions.
  • The outline is closed and its area equals the flat rectangle less the four notches; millimetres and inches give the same part.
  • Each corner notch is checked to cover the whole crossing of the two bend zones.

The method, the reports and the responsibility boundary are on the Verification page.

Built by Ruthen Systems

Free, with no account, and the dimensions you type never leave your browser. If a result looks wrong, or the option your shop needs is missing, say so — reports of a wrong result are dealt with first.

Report a problem or request a tool

Assumptions and limits

Read these before you cut anything. They describe exactly what this tool does and does not account for.

  • Four flanges bent up 90° from one blank; all dimensions to the outside faces of the finished tray; one thickness, inside radius and K-factor for every bend.
  • Open corners: each corner is notched 1/32 in past the inner tangent lines of both bends (the FAA asks relief holes to reach 1/32–1/16 in past them, p. 4-72; this applies the same margin to a notch), so no metal has to bend two ways at once. After folding each flange stops R + T + 1/32 in short of the outside corner, its end R + 1/32 in from the neighbouring flange.
  • No round relief holes, no tabs, hems or welded corner closing. For a welded corner the FAA handbook wants touching flanges, the flange "one material thickness shorter than the finished length of the part so only the insides of the flanges touch" (p. 4-72); this blank leaves a gap instead.
  • The flat size comes from bend deductions with the K-factor you enter; check it against a test bend on your own brake.

Output is a planning and fabrication aid. You are responsible for verifying dimensions, tolerances and material behaviour before production — full disclaimer.

Worked example

300 × 200 × 50 mm outside, 2 mm, inside radius 2, K 0.33.

  • Outside setback R + T4.00 mm
  • Bend allowance π/2 × (R + K·T)4.18 mm
  • Bend deduction 2 × setback − allowance3.82 mm
  • Blank (300 + 2 × 50 − 2 × BD) × (200 + 2 × 50 − 2 × BD)392.36 × 292.36 mm
  • Corner notch50.97 × 50.97 mm

Method

Along each direction the flat length is the sum of the outside dimensions less one bend deduction per bend — equivalent to the FAA handbook’s flat-length rule, flats plus bend allowance times the number of bends (FAA-H-8083-31B, p. 4-66), applied here in both directions. For a 90° bend the outside setback is R + T, the bend allowance π/2 × (R + K·T), and the deduction twice the setback less the allowance.

Corner reliefs vary between sources. SOLIDWORKS and Inventor centre a round relief on the intersection of the bend lines; the FAA handbook places its relief hole both centred on and touching the intersection of the inside bend tangent lines, and sizes it at about twice the bend radius, or the bend radius with a minimum by thickness (1/8 in for aluminium alloy up to 0.064 in). This version uses a plain square notch 1/32 in past the inner tangent lines (the FAA asks relief holes to reach 1/32–1/16 in behind them; the same margin is used here), which removes the whole crossing of the bend zones.

Sources

Questions

How big a blank does a sheet metal tray need?

Along each direction, add the outside dimensions — the base plus two flanges — and take off one bend deduction per bend. For a 300 × 200 × 50 tray in 2 mm with R 2 and K 0.33, each 90° bend deducts about 3.82 mm, so the blank is about 392.36 × 292.36 mm.

Why are the corners cut out so far?

Where two bend zones cross, the metal would have to bend in two directions at once; the FAA warns that such a corner can tear or crack (pp. 4-71–4-72). Cutting each corner back 1/32 in past the inner tangent lines of both bends removes that crossing with a small margin for bending error — the margin the FAA gives for relief holes (p. 4-72). The price is an open corner: after folding, each flange ends R + 1/32 in short of its neighbour.

Can it do a round relief hole or a closed corner?

Not yet. The sources disagree on where a relief hole is centred and how big it is — the FAA handbook places it both centred on and touching the intersection of the inside bend tangent lines, and sizes it at about twice the bend radius as well as the bend radius itself — so this version keeps to a plain square notch.

Where do the bend lines go?

At the middle of each bend zone: the flange leg (height less the outside setback) plus half the bend allowance, from each edge of the blank. They are on the BEND_UP layer of the DXF. For lining the sheet up in the brake, the FAA handbook uses a sight line one radius inside the tangent line, not the middle of the bend (p. 4-66).

Missing an option?

A different datum, an offset, a shop allowance, another shape altogether — say what this tool does not cover yet. Requests decide what gets built next, and a report of a wrong result is dealt with before anything new.

Rather have the whole part drawn — a shop drawing or a cut file from your sketch? That is paid drafting, quoted per job: drafting for small shops.

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