BIZOMAT Tools · Manufacturing

Rack and Batch Fit

How many parts fit on a rack, jig or tray?

Calculates how many rectangular parts fit on a rack or panel with a set clearance, in both orientations.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Usable rack widthmmUsable rack width after edge clearance
Usable rack heightmmUsable rack height after edge clearance
Part widthmmPart envelope width as hung
Part heightmmPart envelope height as hung
Clearance between partsmmMinimum clearance between parts required by the process

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Usable rack width
Illustration: Usable rack widthA bar with a dimension line and arrows from one end to the other, marking the length Usable rack width.WExample: 1200 mmUsable rack width
What it is
The horizontal space on the rack, jig or carrier that parts can actually occupy, after the clearance needed at each edge has been taken off.
Units and format
Enter a number in mm: millimetres. The form accepts 1 mm or more.
Example
The form opens with 1200 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
More width fits more columns of parts.
Get it right
Measure inside any edge clearance the process needs; the tool adds no clearance at the rack edges.
What this means: Usable rack height
Illustration: Usable rack heightA block with a vertical dimension line from its base to its top, marking the height Usable rack height.HExample: 1000 mmUsable rack height
What it is
The vertical space on the rack, jig or carrier available for parts, after top and bottom edge clearance.
Units and format
Enter a number in mm: millimetres. The form accepts 1 mm or more.
Example
The form opens with 1000 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
More height fits more rows of parts.
Get it right
Allow for hooks and hangers above the top row before measuring.
What this means: Part width
Illustration: Part widthA bar with a dimension line and arrows from one end to the other, marking the length Part width.wExample: 100 mmPart width
What it is
The width of the rectangle that fully encloses one part as it hangs or sits on the rack, including any hook or protrusion.
Units and format
Enter a number in mm: millimetres. The form accepts 1 mm or more.
Example
The form opens with 100 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A wider part fits fewer columns.
Get it right
Use the overall envelope, not a nominal size; the tool also tries the part rotated 90° and keeps the better result.
What this means: Part height
Illustration: Part heightA block with a vertical dimension line from its base to its top, marking the height Part height.hExample: 150 mmPart height
What it is
The height of the rectangle that fully encloses one part as it hangs or sits on the rack, including any hook or protrusion.
Units and format
Enter a number in mm: millimetres. The form accepts 1 mm or more.
Example
The form opens with 150 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A taller part fits fewer rows.
Get it right
Include the hanging point or fixture in the height if it adds to the envelope.
What this means: Clearance between parts
Illustration: Clearance between partsTwo parts separated by a small gap with a dimension across the gap, marking Clearance between parts.gExample: 20 mmClearance between parts
What it is
The minimum space the process needs between neighbouring parts, for example for coating access, drainage, airflow or to stop parts touching.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm or more.
Example
The form opens with 20 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger gap reduces how many parts fit in each direction.
Get it right
Use the gap your process specification requires; it applies between parts both across and down.

Method and formulas

  1. Across = floor((rack width + gap) ÷ (part width + gap))
  2. High = floor((rack height + gap) ÷ (part height + gap))
  3. Quantity = across × high; repeated with the part rotated

Limitations

  • Rectangular envelopes only
  • Does not check weight, hooks, drainage or coating access

Typical uses

  • Coating, plating or washing rack loading
  • Nesting estimates for flat parts
  • Comparing rack sizes

Who it is for

  • Process engineers
  • Coating and finishing supervisors

What you get

  • Parts per rack and layout
  • Orientation comparison
  • Area utilisation

Interpreting the result

  • Trial-load a rack before releasing the layout

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Rack and Batch Fit calculator