Measurement setup
Enter the positive level difference H and the horizontal projection Q of the sloped section. The slope angle is solved as atan2(H, Q). The available horizontal run R includes the lead-in plus Q, and excludes the independently entered tail. The sign of the level change is fixed by this page (drop).
Geometry and cut equations
S = H / sin(θ); Q = H / tan(θ); L = R − Q; stock = L + S + T.
For each closing joint, d = span × tan(|α| / 2), and the full V opening is 2d. Span is tray width for horizontal cuts and wall height for vertical cuts. Downward vertical joints open the side-wall slit instead; their formed edge gap is 2H × sin(|α| / 2).
Every segment must contain its adjacent closing-notch setbacks plus a 10 mm margin. Impossible or overlapping layouts are rejected.
Default numerical example
W = 200 mm · H = 50 mm · Straight stock length = 1085.41 mm. Stock station: 400.00 mm / 735.41 mm. θ: -26.57° / 26.57°.
Inspect all four stages
- Inspect the uncut straight channel.
- Mark every fold axis and its side-wall or base cut. Green lines show retained fold connections.
- Remove amber closing wedges. Opening joints are side-wall slits. Keep the indicated fold connections.
- Fold about every retained axis. Purple covers identify opening regions; they do not specify hardware.
Scope and method identity
This is a separately implemented TrayNeo method for the numbered entry. Exact correspondence with the reference product remains under review.
Ideal zero-radius geometry. Cut envelopes, retained folds and opening covers are shown explicitly; kerf, rolled lips, thickness allowances, cable clearance, springback and connection hardware are not specified.