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Frame cut list calculator

In short

A rectangular L × H frame in a section of width p is cut according to the corner joints: with 45° mitres, rails l = L and uprights h = H, point to point; with through uprights, l = L − 2p; with through rails, h = H − 2p. The squareness diagonal is D = √(L² + H²).

Calculation

Example calculated with the tool’s default values.

Inputs

Overall width
1200 mm
Overall height
800 mm
Number of frames
1
Section width (in the frame plane)
40 mm
Section depth (frame thickness)
40 mm
Corner joints
45° mitre
Saw kerf
2 mm

Results

Rail (point to point)
1200.0 mm× 2
Upright (point to point)
800.0 mm× 2
Outside diagonal (squareness)
1442.2 mm
L 1200L 1200H 800H 800p 40p 40L 1200L 1200H 800H 800p 40p 40
Dimensioned drawing of the example

Worked example

Every value in this section belongs to the example, calculated with the tool’s default values.

Other results of the example

Inside diagonal
1331.5 mm
Total section length
4000 mm4008 mm with one kerf per piece
  • Mitre: lengths are long point to long point (outside); cut head-to-tail to share the 45° cuts.
  • Squareness: both diagonals must be equal before tacking the opposite corners.
  • Allow for weld shrinkage at the corners (Shrinkage tool) on welded frames.

Step-by-step calculation

  1. Rails

    l = L

    1200.0 mm × 2

  2. Uprights

    h = H

    800.0 mm × 2

  3. Diagonal

    D = √(L² + H²)

    √(1200² + 800²) = 1442.2 mm

  4. Total

    Σ = n × (w + h); + kerf per piece

    4000 mm ; 4008 mm

Cut list

PartLength (mm)QtyCuts
Traverse1200.0245° / 45°
Montant800.0245° / 45°

How to use it

  1. Enter the overall width and height of the frame.
  2. Enter the section width in the frame plane and its depth.
  3. Pick the corner joints: 45° mitre, through uprights or through rails.
  4. Enter the saw kerf and the number of frames.
  5. Read the cut length of the rails.

Frequently asked questions

How do I work out the cut list of a steel frame?

It depends on the corner joints. With 45° mitres, the rails are l = L and the uprights h = H, long point to long point on the outside. With through uprights, the rails fit between them: l = L − 2p. With through rails: h = H − 2p. Each frame has 2 rails and 2 uprights.

How do I check that a frame is square?

Measure both diagonals: they must be equal before tacking the opposite corners. The outside diagonal is D = √(L² + H²): for a 1200 × 800 mm frame, √(1200² + 800²) = 1442.2 mm. The calculation also gives the inside diagonal, between the inner corners of the frame.

What total section length does a frame need?

Σ = n × (l + h), plus one saw kerf per piece. Example: 1200 × 800 mm mitred frame in a 40 mm section: 2 rails of 1200.0 mm and 2 uprights of 800.0 mm, so 4000 mm, and 4008 mm with a 2 mm kerf per piece. For mitres, cut head-to-tail to share the 45° cuts.

Limits

Indicative results: geometry only. For mitres, lengths are long point to long point on the outside. The section must stay narrow relative to the frame (2 × p below the shortest side). On a welded frame, allow for weld shrinkage at the corners.

Sources

  • Géométrie : Cadre rectangulaire ; diagonale D = √(L² + H²)

Updated · Publisher: The Level Code

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