Linear Material Cutting Guide — Bars, Rods, Pipes & Extrusions

Linear materials like extrusions, pipes, and timber require careful layout planning. Without it, you end up throwing away perfectly good material as costly offcuts. Learn how to optimize your cuts instantly.

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What Are Linear Materials?

Linear materials are products where the width and height are constant, and you only need to calculate the length. Common examples include:

  • Timber lengths (e.g., 2x4s, skirting boards)
  • Steel bars and hollow structural sections (RHS/SHS)
  • Aluminum profiles and extrusions for window frames
  • Copper pipes and PVC conduit

The One-Dimensional Cutting Problem

In mathematics, arranging smaller lengths within standard longer lengths is known as the 1D bin packing problem. It is deceptively complex. When you have hundreds of parts to cut from 6-meter bars, finding the perfect combination manually is nearly impossible.

By using a linear cutting optimizer, you let an algorithm process millions of combinations in seconds, ensuring you get the absolute maximum yield out of your material. For continuous materials, see roll cutting optimization.

Example: Window Frame Fabrication

Let's look at a realistic example. You need to cut window frame extrusions from 6000mm standard stock bars.

  • Required: 8× 1500mm, 6× 1200mm, 4× 900mm, 10× 600mm
Optimized Layout: 6000mm Aluminum Extrusion
Bar 1: 6000mm
1500
1500
1500
1500
Bar 2: 6000mm
1500
1500
1500
1500
Bar 3: 6000mm
1200
1200
1200
1200
1200
Bar 4: 6000mm
1200
900
900
900
900
600
600

Manual approach: Can produce less efficient combinations when cuts are selected one at a time.
Optimized approach: Uses the available stock and required parts to calculate a more systematic layout. The actual bar count and waste depend on the inputs and kerf.

Key Factors in Linear Cutting

  • Blade Kerf: The thickness of the blade consumes material. Always factor this in.
  • End Allowances: Factory edges are rarely perfectly square; plan for a trim cut on the ends.
  • Offcut Reuse: A 1500mm offcut is highly reusable, but ten 150mm offcuts go straight to the bin. Optimize for larger contiguous remainders.

How CutWize Handles Linear Optimization

CutWize uses a multi-phase First-Fit Decreasing algorithm. It automatically tracks your offcuts and prioritizes using them on your next job before cutting into fresh stock. Try it out on our steel & aluminium calculator.

Frequently Asked Questions

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Plan your next bar, pipe or extrusion job with our cut list software and see the calculated material yield.