Nesting 2d
Deterministic engineering intelligence platform for mechanical, structural, and electrical designers. 91 modules validated solvers, 3D CAD workspace, and ISO/DIN standards compliance.
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▸Formula · assumptions · example(ISO 9013 (Thermal cutting tolerances) · VDI 3388 (Blank nesting))
Formula
\eta_{\text{utilization}} = \frac{\sum A_{\text{parts}}}{A_{\text{sheet}}} \times 100\%, \quad W_{\text{scrap}} = 100\% - \eta_{\text{utilization}}
Bottom-Left-Fill (BLF) / Genetic 2D bin packing with laser/plasma kerf width offset, part-in-part nesting, and grain constraint.
Assumptions
- · Tool kerf width (typically 0.8 - 1.5 mm) and lead-in/lead-out margins offset from part perimeter
- · Minimum skeleton web thickness maintained between adjacent contours to prevent sheet thermal warping
- · Material rolling grain direction respected for parts requiring subsequent precision press brake bending
Worked example
Worked example — Sheet Laser Nesting (1500 × 3000 mm 3.0 mm Al Sheet, 84 Components)
Nesting algorithm achieves 88.4% material utilization with 1.2 mm laser kerf, reducing scrap waste from 24.5% to 11.6%.