BIZOMAT MAKEOS · Fabrication

Pattern Size for Shrinkage and Casting Weight from Pattern

How big must the pattern be to give this casting size, and roughly what will the casting weigh?

Pattern dimension for a casting from the finished dimension, machining allowance and the metal’s shrinkage allowance (as a percentage or millimetres per metre), and the approximate casting weight from the pattern weight and the densities of the metal and the pattern material.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Finished part dimensionmmDimension on the finished part.
Machining allowance per machined facemmStock left on each machined face.
Machined faces across this dimensionHow many faces across this dimension are machined (0, 1 or 2).
Shrinkage allowancemm/mShrinkage allowance for the metal and casting (from your foundry or the handbook’s list).
Casting weight from pattern
Pattern weightkgWeight of the pattern.
Pattern material densitykg/m³Density of the pattern material (wood about 400–700 kg/m³).
Casting metal densitykg/m³Density of the casting metal.
Volume of cored-out spacesLVolume removed by cores that the pattern does not show.

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: Finished part dimension
Illustration: Finished part dimensionA bar with a dimension line and arrows from one end to the other, marking the length Finished part dimension.LExample: 300 mmFinished part dimension
What it is
The dimension on the finished, machined part that the pattern must produce after shrinkage and machining.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 100000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 300 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The pattern dimension is proportional to the casting dimension.
Get it right
Work one dimension at a time; length, width and height can each have different machined faces.
What this means: Machining allowance per machined face
Illustration: Machining allowance per machined faceThe cross-section of a plate or wall with a dimension across its thickness, marking Machining allowance per machined face.tsection through the materialExample: 3 mmMachining allowance per machined face
What it is
The extra metal left on each machined face across this dimension, so the casting can be cleaned up to size.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 100 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
This is per face; the tool multiplies it by the number of machined faces.
What this means: Machined faces across this dimension
Illustration: Machined faces across this dimensionA row of identical items being counted; Machined faces across this dimension is how many there are.nExample: 2Machined faces across this dimension
What it is
How many of the two faces across this dimension will be machined: none, one or both.
Units and format
Enter a plain number with no unit. The form accepts 0 to 2. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
A bore machined all round counts as two faces across its diameter.
What this means: Shrinkage allowance
Illustration: Shrinkage allowanceA bar growing longer when heated; Shrinkage allowance sets how much length changes for each degree of temperature change.ΔLcoldhotαExample: 10.4 mm/mShrinkage allowance
What it is
The amount the metal contracts as the casting cools, stated per metre of length. The pattern is made larger by this amount.
Units and format
Enter a number in mm/m: mm/m. The form accepts 0 mm/m to 50 mm/m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10.4 mm/m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Each millimetre per metre adds one thousandth of the casting size to the pattern.
Get it right
Confirm with your foundry for the alloy and section; values vary with restraint and section size.

Casting weight from pattern

What this means: Pattern weight
Illustration: Pattern weightA weight resting on a scale; Pattern weight is how much matter it contains, in kilograms or grams.mExample: 4 kgPattern weight
What it is
The weight of the finished pattern, weighed on scales, used to estimate the casting weight by the ratio of densities.
Units and format
Enter a number in kg: kilograms. The form accepts 0 kg to 1000000 kg. Required: the tool does not calculate until every input is valid.
Example
The form opens with 4 kg as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The casting weight estimate is directly proportional to it.
Get it right
Weigh the pattern without core prints or loose pieces that do not form metal.
What this means: Pattern material density
Illustration: Pattern material densityA cube of material: density Pattern material density is its mass divided by the volume it fills.massvolumeρpExample: 500 kg/m³Pattern material density
What it is
The density of the material the pattern is made from, such as timber, resin or metal.
Units and format
Enter a number in kg/m³: kilograms per cubic metre. The form accepts 0.000001 kg/m³ to 25000 kg/m³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 500 kg/m³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A denser pattern material gives a smaller casting weight estimate.
Get it right
Use the density of the actual pattern stock, from the supplier or by weighing a known volume.
What this means: Casting metal density
Illustration: Casting metal densityA cube of material: density Casting metal density is its mass divided by the volume it fills.massvolumeρmExample: 7200 kg/m³Casting metal density
What it is
The density of the metal being cast, from the alloy supplier or a standard reference.
Units and format
Enter a number in kg/m³: kilograms per cubic metre. The form accepts 0.000001 kg/m³ to 25000 kg/m³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 7200 kg/m³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The casting weight estimate is directly proportional to it.
Get it right
Use the density of the cast alloy, not a wrought grade, if they differ.
What this means: Volume of cored-out spaces
Illustration: Volume of cored-out spacesA box drawn in three dimensions; the space it encloses is the volume Volume of cored-out spaces.VExample: 0 LVolume of cored-out spaces
What it is
The volume of internal spaces formed by cores that the solid pattern does not show. The tool removes the metal that would fill it.
Units and format
Enter a number in L: litres. The form accepts 0 L to 1000000 L. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0 L as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Each litre removes one litre of metal at the casting density.
Get it right
This is in litres; 1 L is 1,000,000 mm³.

Method and formulas

  1. Casting size = finished size + machining allowance × machined faces.
  2. Pattern size = casting size × (1 + shrinkage ÷ 1000) with shrinkage in mm per metre.
  3. Casting weight ≈ pattern weight × metal density ÷ pattern density, less the weight of cored spaces (the handbook gives this as ratio factors per pattern material).
  4. Example: a 300 mm dimension needs a 309.18 mm pattern at 10.4 mm/m.

Limitations

  • Shrinkage varies with section size, restraint and alloy; confirm with the foundry.
  • Pattern weight method assumes a solid pattern of uniform density without core prints.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size a pattern or die cavity for a casting
  • Check a pattern maker’s shrink rule
  • Estimate casting weight for a quote from the pattern

Who it is for

  • Pattern makers
  • Foundry engineers
  • Estimators

What you get

  • Casting dimension before machining
  • Pattern dimension
  • Approximate casting weight

Interpreting the result

  • Hindered contraction (cores, flanges) shrinks less than free contraction; foundries adjust allowances by feature.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1414, 1419. Topic reference; no source tables or recommended settings are reproduced.

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

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