Clay Shrinkage Calculator

Clay leaves the wheel one size and comes out of the kiln another. Mark a test bar, measure it wet, bone dry and fired, and this calculator separates the two shrinkages that got you there, combines them correctly, and tells you how large to throw or build a piece so it fires to the size you actually want. It also gives the volume shrinkage, which is what decides whether a mug that measured right still holds the right amount of coffee.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
Wet test bar markThe distance between two marks scored into a freshly made bar; 100 mm is the conventional benchmark.100 mm
Same marks bone dryMeasured once the bar has stopped losing weight, not merely when it feels dry.94 mm
Same marks after firingMeasured after the glaze firing, at the cone you actually fire to.88 mm
Finished size you wantThe dimension the fired piece must measure — rim diameter, height, tile edge, whatever you are controlling.200 mm
A wet size to checkEnter a size you have already thrown or slabbed to see what it will fire to.250 mm

It returns

  • Total shrinkage, wet to fired
  • Drying shrinkage — Wet to bone dry — water leaving between the platelets.
  • Firing shrinkage — Bone dry to fired, measured against the dry length.
  • Wet-size multiplier — Multiply any finished dimension by this to get the wet dimension.
  • Make it this size wet
  • Your wet size fires to
  • Volume shrinkage

The formula

S=LwetLfiredLwet,Lmake=Ltarget1S
S=1(1Sdry)(1Sfire)
SV=1(1S)3

In plain text: S = (L_wet − L_fired) / L_wet, L_wet needed = L_finished / (1 − S)

  • L_wetBenchmark on the freshly made bar (mm)
  • L_drySame benchmark bone dry (mm)
  • L_firedSame benchmark after the glaze firing (mm)
  • STotal linear shrinkage as a decimal (decimal)
  • L_makeWet dimension needed to reach the target (mm)

Drying shrinkage is measured against the wet length and firing shrinkage against the dry length, which is the convention ASTM C326 uses. That is why the two do not simply add to the total.

Updated Category Resin, Candles, Soap & Ceramics Verified against published test cases Reading time 11 min

Two shrinkages, one number that matters

Clay shrinks twice and for different reasons. Drying shrinkage happens as the water that separates the clay platelets evaporates and the platelets pack closer together; it is finished by the time the piece is bone dry and it accounts for most of the movement in a plastic body. Firing shrinkage happens in the kiln, as fluxes melt and the body vitrifies, closing the remaining pore space. It rises with temperature, which is why the same clay shrinks more at cone 10 than at cone 6.

What you actually need to plan a pot is neither of those on its own but the total, wet to fired. That is the number that turns a finished size into a thrown size, and it is the one this calculator leads with. The two components are still worth knowing, because they tell you where the risk lies: heavy drying shrinkage means warping and cracking if the piece dries unevenly, while heavy firing shrinkage tends to show up as slumping and warping in the kiln.

Measure it on your own body, at your own cone. Published figures for a clay describe the manufacturer's test conditions, and shrinkage varies with how wet you work, how much you compress, and where in the kiln a piece sits.

Why the two shrinkages do not add up

Following ASTM C326, drying shrinkage is measured against the wet length and firing shrinkage against the dry length. Those are different denominators, so the two percentages describe reductions of different things and cannot be added.

Take the default bar: 100 mm wet, 94 mm dry, 88 mm fired. Drying is (100 − 94) ÷ 100 = 6.000%. Firing is (94 − 88) ÷ 94 = 6.383%. Add them and you get 12.383%, but the bar plainly went from 100 to 88, which is 12.000%. The correct combination multiplies what survives each stage: 0.94 × 0.93617 = 0.88, so the total is 1 − 0.88 = 12.000%. The gap of 0.383 percentage points is small on a test bar and is 400 × 0.00383 = 1.5 mm on a 400 mm platter.

The allowance is the same trap in reverse. To finish at 200 mm with 12% shrinkage, do not make it 200 × 1.12 = 224 mm — that fires to 224 × 0.88 = 197.1 mm, three millimetres short. Divide by what survives: 200 ÷ 0.88 = 227.27 mm, which fires to 227.27 × 0.88 = 200.00 mm exactly. The multiplier 1 ÷ (1 − S) is what the calculator reports as the wet-size multiplier, and it is worth writing on the wall above the wheel.

Volume behaves differently again. Every dimension shrinks by the same fraction, so volume shrinks by that fraction cubed: 1 − (1 − S)³. At 12% linear, volume falls by 1 − 0.88³ = 1 − 0.681 = 31.85%. That is the number that matters when a piece is specified by capacity rather than by size — a mug thrown to hold 350 ml wet holds about 238 ml fired.

Worked example: throwing a 200 mm fired bowl

You roll a test bar, score two marks exactly 100 mm apart while it is still soft, dry it slowly to bone dry, bisque it and glaze fire it to cone 6. It measures 94 mm bone dry and 88 mm out of the glaze firing. You want a bowl whose fired rim is 200 mm across.

  1. Drying shrinkage. (100 − 94) ÷ 100 = 6.000%.
  2. Firing shrinkage. (94 − 88) ÷ 94 = 6.383%, measured against the dry bar.
  3. Total shrinkage. (100 − 88) ÷ 100 = 12.000%. Check it the other way: 1 − (0.94)(0.93617) = 1 − 0.88 = 12.000%. Agreement confirms the readings are consistent.
  4. What survives. 1 − 0.12 = 0.88.
  5. Wet-size multiplier. 1 ÷ 0.88 = 1.13636.
  6. Throw the rim at. 200 × 1.13636 = 227.27 mm, so set the callipers at 227 mm and expect the fired rim within a millimetre of target.
  7. Check a piece you already threw. A 250 mm wet rim fires to 250 × 0.88 = 220 mm.
  8. Volume loss. 1 − 0.88³ = 1 − 0.681472 = 31.85%.

The volume figure is the one that surprises people. A bowl thrown to hold a litre of water at the leather-hard stage holds only 681 ml fired. If the piece has to hold a specific quantity — a 350 ml mug, a 2 litre casserole — size it from the volume relationship, which means multiplying the target capacity by 1 ÷ 0.88³ = 1.4674 to get the wet capacity.

What your number tells you about the body

Most plastic throwing bodies land between about 10% and 14% total shrinkage, and where yours sits inside that range tells you what to expect on the bench.

Low, under about 10%. Usually a grogged or sculptural body. It holds size and detail well, dries with less risk of cracking, and tolerates uneven drying. The trade-off is often porosity: a body that moves little in the firing has often not vitrified much, so check absorption before using it for functional ware.

Middle, 10% to 14%. The ordinary range for stoneware and most porcelains. Predictable enough that a single test bar per batch of clay is sufficient.

High, above about 15%. Fine, plastic, low-grog bodies — some porcelains reach this. They reward careful, slow, even drying and punish anything that dries at different rates. Flat forms warp, handles pull at the join, and thick-to-thin transitions crack.

Watch the split between the two stages as well as the total. A body with high drying shrinkage and modest firing shrinkage is telling you the risk is on the shelf, before the kiln: dry under plastic, dry flat things between boards, and dry rims more slowly than bases. A body with modest drying and high firing shrinkage puts the risk in the kiln, where slumping and warping happen and where a piece sitting too close to a hot element sees a different temperature from its neighbours.

One thing the calculator cannot capture: shrinkage is not perfectly isotropic on a thrown pot. Clay aligned by the throwing action tends to shrink slightly more across the direction of alignment than along it, which is part of why thrown rims go faintly oval. Treat the calculated size as accurate to about a percent on a real pot, not to the two decimal places the arithmetic offers.

Wet size and volume loss by total shrinkage

Wet sizes are for a 200 mm finished dimension. The multiplier is 1 ÷ (1 − S), never 1 + S.
Total shrinkageMultiplier 1/(1−S)Wrong multiplier 1+SWet size for 200 mmVolume shrinkage
8%1.086961.08000217.39 mm22.13%
10%1.111111.10000222.22 mm27.10%
11%1.123601.11000224.72 mm29.50%
12%1.136361.12000227.27 mm31.85%
13%1.149431.13000229.89 mm34.15%
14%1.162791.14000232.56 mm36.39%
15%1.176471.15000235.29 mm38.59%
16%1.190481.16000238.10 mm40.73%

The third column is included only to be avoided: at 12% it undersizes the wet piece by 3.2 mm in 227, and the fired result comes out 2.9 mm small. Volume shrinkage is 1 − (1 − S)³ and reaches a third of capacity by 12% linear.

How to make a test bar that gives an honest number

Roll a flat bar of the clay about 120 mm long and 15 mm thick, from the same batch and at the same working consistency you actually throw with. Score two clean marks exactly 100 mm apart while it is soft, using a ruler and a needle tool, and mark the clay body and cone on the bar itself. Dry it slowly and flat, turning it so it does not curl, and weigh it daily until the weight stops falling — that, not how it feels, is bone dry. Measure it, then bisque and glaze fire it in a normal load at your usual cone, and measure again. ASTM C326 formalises this procedure for whiteware clays, and the two things it insists on are the ones amateurs skip: a benchmark long enough that a half-millimetre reading error is small, and drying to constant weight rather than to the touch.

What changes a clay's shrinkage

  • Firing temperature. The single largest factor. The same body fired to cone 10 shrinks appreciably more than at cone 6, because more of the pore space closes. Test at the cone you actually fire.
  • Water content when you work. Wetter clay has more water to lose, so it shrinks more in drying. A body thrown very wet and one wedged stiff give different numbers from the same bag.
  • Grog and sand. Non-plastic additions do not shrink, so they reduce the body's total shrinkage roughly in proportion to how much of it they make up.
  • Compression and forming method. Slip-cast, pressed and thrown pieces made from the same body do not shrink identically, because they start at different densities.
  • Position in the kiln. Temperature varies through a kiln, and where a body is close to full vitrification, a small temperature difference produces a visible size difference.
  • Recycled clay. Reclaimed clay that has picked up water, grog dust or another body is no longer the material you tested. Re-test a bar from a reclaim batch before using it for anything dimensional.

When shrinkage becomes the whole problem

For most pots, shrinkage is a background number you apply once. It becomes the central problem in three situations. Lidded forms, where lid and pot must shrink together — make and dry them together, from the same batch, and fire them together, because a difference of half a percent between two clays is a lid that no longer fits. Tiles and flat work, where dimensional accuracy is the product and where uneven drying shows as curl. And anything that must fit something else: a teapot into a box, a sink into a countertop, a set of nesting bowls.

The same arithmetic — divide by what survives, never multiply by what is lost — appears throughout materials work. Sewists apply it to prewashed cloth with the fabric shrinkage calculator, and woodworkers apply the reverse to seasonal movement with the wood movement calculator. Mould makers avoid it altogether by casting rigid material, which is why silicone and resin work uses volume arithmetic instead — see the silicone mould material calculator for how a displaced-volume calculation replaces a shrinkage one.

For studio costing, the firing itself is usually the larger variable. Two firings per piece — bisque and glaze — at studio electricity rates add up, and the kiln firing cost calculator turns a kiln's rating and schedule into a cost per load and per pot. Shrinkage affects that indirectly: a body that shrinks more packs more finished pieces into the same kiln shelf.

Frequently asked questions

How much bigger should I throw a pot to allow for shrinkage?

Divide the finished size by one minus the total shrinkage. With 12% shrinkage, a 200 mm fired rim needs a 200 ÷ 0.88 = 227.27 mm wet rim. Do not multiply by 1.12, which gives 224 mm and fires to 197.1 mm — three millimetres short. The multiplier to remember is 1 ÷ (1 − S): 1.1111 at 10%, 1.1364 at 12% and 1.1628 at 14%.

Why do drying and firing shrinkage not add up to the total?

Because they are measured against different lengths. Drying shrinkage uses the wet length as its denominator and firing shrinkage uses the dry length, so the second percentage applies to an already smaller bar. Combine them by multiplying what survives each stage: 1 − (1 − 0.06)(1 − 0.06383) = 12.000%, against 12.383% if you simply add. The gap is small on a test bar and visible on a large platter.

What is a normal shrinkage rate for clay?

Most plastic throwing bodies fall somewhere between about 10% and 14% total, wet to fired. Heavily grogged and sculptural bodies sit lower because the grog does not shrink; fine porcelains sit at the top of the range or above it. Rather than trust a published figure, fire your own bar at your own cone — the same clay shrinks noticeably more at cone 10 than at cone 6.

How do I size a pot that has to hold a particular volume?

Use the volume relationship, not the linear one. Volume shrinks by 1 − (1 − S)³, which at 12% linear is 31.85%. To finish at 350 ml, the wet piece must hold 350 ÷ 0.88³ = 350 × 1.4674 = 514 ml. Measuring the wet capacity is easiest with water and a jug at the leather-hard stage, before any handle or spout is attached.

Does shrinkage change with firing temperature?

Yes, substantially, and it is the largest single variable. Firing shrinkage comes from vitrification closing the pore space, so it rises as the body approaches maturity. A stoneware fired to cone 6 and the same clay fired to cone 10 give different totals, which is why a test bar must be fired to the cone you actually use. Fire one bar per cone if you work at more than one.

Why did my lid stop fitting after the glaze firing?

Almost always because lid and pot did not shrink identically. Different batches of the same clay, different water content, different drying rates, or different positions in the kiln all produce differences of a fraction of a percent, and half a percent on a 150 mm lid is nearly a millimetre. Make lid and pot from the same clay at the same time, dry them together on the same shelf, and fire them in the same load, ideally with the lid in place.

Does my glaze affect the shrinkage?

Not the clay's shrinkage, no — glaze is a thin coating and the body's dimensional change is driven by the body. What glaze does affect is whether the fired size you measure is the body or the body plus a glaze layer, which on a small piece is worth a few tenths of a millimetre. Measure your test bar glazed if your work is glazed, so that the number describes what you actually make.

How accurate is the calculated wet size on a real pot?

To about a percent, not to the two decimal places the arithmetic shows. Real pots vary in wall thickness, dry unevenly, and are made from clay whose particles have been aligned by throwing, so they shrink slightly differently in different directions — which is why thrown rims tend to fire a little oval. Use the number to set your callipers, and expect the fired result within a millimetre or two on a mid-size piece.

References

  • ASTM C326, Standard Test Method for Drying and Firing Shrinkages of Ceramic Whiteware Clays — ASTM International
  • Ceramic Science for the Potter, 2nd ed. — Chilton Book Company