Box Stacking Strength Calculator & Estimator
Find out how many regular slotted boxes you can safely stack, and the ECT you need for a taller stack, after humidity, time in storage and the pallet pattern take their share.
Measure inside the box, length and width across the opening. Weight is one box with its contents.
Enter your inside box dimensions and packed weight to see how high it can safely stack.
The bottom box carries 125 lb of the 129 lb it can hold after storage.
One more box would put 150 lb on it, more than it can hold.
This estimate assumes a regular slotted box (RSC). Mailers and other tuck-top boxes, common in E-flute, fold their walls and close differently, so for those boxes treat the result as a rough guide.
Outside the formula's comfort zone. This box is shallow for its footprint (height under about a seventh of the perimeter), where the estimate tends to run high. Its footprint is more than three times as long as it is wide, which also tends to run high. Treat the result as an upper bound and confirm with a compression test.
- New box strength
- 519 lb
- Likely range
- 441–596 lb
- Strength kept
- 25%
- Board
- B-flute, 32 ECT
Humidity
Board absorbs moisture and softens. Lab strength is measured at 50 percent humidity.
Time under load
Paper slowly creeps under a constant load, so a stack weakens the longer it stands.
Pallet pattern
Boxes carry weight at their corners. Interlocking puts corners over the soft middle of the box below.
Pallet overhang
Corners hanging past the pallet edge lose their support.
Deck board gaps
The bottom layer sags into the gaps between pallet boards.
Need a taller stack?
Enter a height to see the ECT grade it takes.
Compare every ECT grade on the Packaging Board Chart →How this was calculated
- Outside perimeter: 61 in, from the inside size plus two board thicknesses of 0.125 in.
- McKee estimate: 5.87 × 32 ECT × √(0.125 × 61) = 519 lb.
- Storage factor: 83% × 60% × 50% = 25%, leaving 129 lb.
- The storage factors are the safety margin; no separate multiplier is stacked on top. Safe stack: 129 lb ÷ 25 lb per box, rounded down, plus the bottom box = 6 boxes.
Estimate only. The McKee formula is built for regular slotted containers (RSCs); real boxes average about 11 percent off it and it tends to run high. For tall, heavy or long-term stacks, confirm with a compression test on conditioned boxes.
Box compression strength formula
How the calculator works
Three steps: estimate the box's compression strength in a lab, discount it for real storage, then compare it with the weight of the boxes on top.
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Estimate compression strength
The McKee formula predicts the compression strength (BCT) of a regular slotted container (RSC) from the board's edge crush rating, its thickness and the box's perimeter: BCT ≈ 5.87 × ECT × √(caliper × perimeter), in pounds and inches. Bigger boxes and thicker board carry more.
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Discount it for storage
Multiply BCT by a factor for each condition: humidity, how long the stack stands and how the pallet is built. The factors compound, so a damp, long, interlocked stack can keep a quarter of its lab strength or less.
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Compare with the load
The bottom box carries every box above it. The safe height is the tallest stack whose load stays under the discounted strength. Working backwards from a target height gives the ECT you need.
Worked example
An 18 × 12 × 10 in RSC, the classic shipping box style used for our custom shipping boxes, in B-flute 32 ECT board and holding 25 lb, has a perimeter of about 61 in and an estimated compression strength of 519 lb. Stored 30 days at 70 percent humidity in an interlocked pattern it keeps 83% × 60% × 50% = 25% of that, or 129 lb. Each box weighs 25 lb, so the bottom box can carry 5 boxes above it: a safe stack of 6 boxes. Switching to column stacking alone takes it to 9.
Machi formula, BCT and ECT
The McKee formula, explained
In 1963, R.C. McKee, J.W. Gander and J.R. Wachuta published a way to predict how much top-to-bottom load a corrugated box carries before it buckles. Sixty years on it is still the industry's quick estimate, usually called the simplified McKee formula and sometimes the Machi formula.
The full formula
BCT = 2.028 × ECT0.746 × (√(DMD × DCD))0.254 × Z0.492
Uses the board's edge crush strength, its bending stiffness in the machine and cross directions, and the box perimeter Z. Accurate, but few box makers measure bending stiffness.
The simplified formula
BCT ≈ 5.87 × ECT × √(caliper × perimeter)
Assumes stiffness follows board thickness, which collapses the full form into something you can work out on a phone. Fitted to regular slotted containers, it is the version the calculator uses. It works in any consistent units: lb per inch and inches give pounds; N per meter and meters give newtons.
How accurate it is
It was long thought to land within about 6 percent on average. A 2006 USDA Forest Products Laboratory review of 46 years of box tests found it averages about 11 percent off, tends to overestimate, and misses many boxes by more than 20 percent, with double wall less predictable still.
What the formula leaves out
- Storage conditions
- It predicts a fresh box in a lab at 50 percent humidity. Humidity, time under load and the pallet pattern are why this calculator multiplies by storage factors.
- Box height
- Height is not in the formula. That holds for ordinary proportions, but very shallow boxes and long narrow ones fall outside it, and the calculator warns when yours does.
- Holes, print and damage
- Hand holes, vents, perforations, heavy ink coverage, board crushed during printing and a weak glue joint all cut real strength below the estimate.
- Box style
- It is fitted to regular slotted containers (RSC, FEFCO style 0201), the four-flap box most shipping cartons are. Mailers, trays and telescope boxes carry load through different panels, so treat the result as a rough guide for them.
Humidity, creep and pallet patterns
Why stacked boxes lose strength
Corrugated board is paper. It softens as it absorbs moisture, it slowly creeps under a constant load, and it carries weight mostly at the corners.
Relative humidity
- 50% or drier (climate-controlled)
- keeps 100%
- 60% (typical warehouse)
- keeps 92%
- 70% (humid season)
- keeps 83%
- 80% (unconditioned, coastal)
- keeps 70%
- 90% (tropical, cold storage)
- keeps 55%
Time under load
- Up to 10 days (shipping, quick turns)
- keeps 63%
- About 30 days
- keeps 60%
- About 90 days
- keeps 55%
- 180 days or more
- keeps 50%
Pallet
- Column stacked, corners aligned
- keeps 80%
- Interlocked or brick pattern
- keeps 50%
- Overhanging the pallet edge
- keeps 60%
- Gaps between deck boards
- keeps 85%
Typical industry factors against a lab test at 50 percent relative humidity. They multiply: 80 percent humidity, 180 days and an interlocked pattern leave about 18% of the lab strength, which is why long-term warehouse stacks are designed with a safety factor of five or more.
What ECT do I need?
ECT by box weight and stack height
For an 18 × 12 × 10 in B-flute box in a typical warehouse: 60 percent humidity, 30 days, column stacked. Heavier boxes and taller stacks need stronger board; DW means double wall.
| Box weight | 4 high | 6 high | 8 high | 10 high | 12 high |
|---|---|---|---|---|---|
| 15 lb6.8 kg | 23 ECT | 23 ECT | 23 ECT | 23 ECT | 26 ECT |
| 25 lb11.3 kg | 23 ECT | 23 ECT | 26 ECT | 32 ECT | 40 ECT |
| 35 lb15.9 kg | 23 ECT | 26 ECT | 40 ECT | 55 ECT | 55 ECT |
| 50 lb22.7 kg | 23 ECT | 40 ECT | 55 ECT | 71 ECT DW | 82 ECT DW |
| 65 lb29.5 kg | 29 ECT | 55 ECT | 71 ECT DW | 82 ECT DW | Over 82 ECT |
Highlighted cells are covered by 32 ECT, the board on Packwire mailer and shipping boxes. Past 82 ECT, double wall runs out and the answer is triple wall, lighter boxes or shorter stacks. Use the calculator above for your own size and conditions.
ECT test, BCT test and conditioning
Testing your box's stacking strength
The calculator is an estimate. When a stack is tall, heavy or stored for months, confirm it with a lab test on real boxes. Not sure what ECT your boxes are? It is often printed on the round stamp on the box bottom; here is how to read a Box Manufacturer's Certificate.
Edge crush test (ECT)
A small strip of board is stood on edge, flutes vertical, and crushed. The result, in pounds per inch, is the board's rating and the number box makers certify against. Run it on strips cut from your boxes to confirm the board you were sold.
Box compression test (BCT)
An empty, sealed box is squeezed between two platens until it buckles. The peak load is the box's true compression strength, including its size, shape, closures and any printing or cut-outs. This is the number the calculator estimates.
Conditioning first
Both tests only mean something on conditioned board: dried, then held at 50 percent relative humidity at room temperature for a day or more. A box tested straight off a damp dock reads low; one from a heated office reads high.
Turning a lab result into a stacking limit
- Test five or more conditioned boxes and take the average compression strength.
- Multiply it by your storage factor from the tables above.
- Divide by the weight of one packed box. Add one for the bottom box: that is your safe stack height.
Parcel and transit tests such as ISTA drop and vibration sequences answer a different question, whether a box survives handling, and are not a measure of stacking strength. See the Packaging Board Chart for every ECT and burst grade.
Box stacking questions
Box stacking strength FAQ
How many boxes can I stack on top of each other?
It depends on the box’s compression strength, how much each box weighs, and how long and where the stack sits. Take an 18 × 12 × 10 in B-flute 32 ECT box holding 25 lb: it tests at roughly 519 lb of compression, but after 30 days at 70 percent humidity in an interlocked pallet pattern it keeps only about 25 percent of that, so it can safely be stacked about 6 high. Stacking the same boxes in aligned columns raises that to about 9.
What ECT do I need for my boxes?
Work backwards from the stack. Multiply the weight of one box by the number of boxes above the bottom one to get the load, divide by the storage factor for your humidity, time and pallet pattern to get the compression strength the box must have, then convert that to ECT with the McKee formula. The calculator on this page does all three steps and rounds up to the next standard grade.
What is the McKee formula?
It is the standard estimate of a corrugated box’s top-to-bottom compression strength, published in 1963 by R.C. McKee, J.W. Gander and J.R. Wachuta. The simplified form most people use is BCT ≈ 5.87 × ECT × √(board caliper × box perimeter), with ECT in lb per inch and caliper and perimeter in inches; it works in any consistent units. It is built for regular slotted containers, and a 2006 USDA Forest Products Laboratory review found it averages about 11 percent off real tests and tends to overestimate.
Is the Machi formula the same as the McKee formula?
Yes. "Machi formula" is another name some sources use for the simplified McKee formula, BCT ≈ 5.87 × ECT × √(caliper × perimeter). The full McKee formula also uses the board’s bending stiffness in the machine and cross directions; the simplified one assumes stiffness follows board thickness.
Does this calculator work for any box style?
It is built for regular slotted containers (RSCs), FEFCO style 0201: the standard shipping carton made from one sheet, with four flaps top and bottom that meet in the middle. That is the box the McKee formula was fitted to. Mailers, die-cut trays and telescope boxes carry load through different panels, so for those styles treat the result as a rough guide and confirm with a compression test.
What is BCT, box compression test?
BCT is the load a whole empty box carries before it buckles when squeezed between two platens in a lab, measured in pounds or newtons. It is the most direct measure of stacking strength. ECT measures a small strip of the board; BCT measures the finished box, including the effect of its size, shape and construction.
Does humidity really affect box strength?
Yes, more than any other factor. Corrugated board absorbs moisture from the air, and its fibers soften as they do. A box stored at 80 percent relative humidity keeps only about 70 percent of the compression strength it shows at the 50 percent test condition, and at 90 percent it keeps about 55 percent.
Why do boxes lose strength the longer they sit in a stack?
Paper creeps under a constant load: the fibers slowly deform, so a box that holds a load for a minute in the lab may buckle under a smaller load after weeks. As a rule of thumb, a box keeps about 63 percent of its lab strength after 10 days under load, 60 percent after 30 days and about 50 percent after six months.
Is column stacking stronger than interlocked stacking?
Much stronger. A box carries most of its load near its four vertical corners, so stacking corner over corner in columns keeps that path straight and loses at most about 20 percent of strength. An interlocked or brick pattern sets corners over the middle of the panels below and can cost 40 to 60 percent. Interlocking makes a more stable pallet, so the usual compromise is columns with stretch wrap or a tie sheet.
Does pallet overhang weaken boxes?
Yes. When boxes hang over the edge of the pallet, their outer corners and walls lose support and can lose up to about 40 percent of their compression strength. Gaps between pallet deck boards cost another 10 to 25 percent. Size boxes so the load sits fully on the pallet.
How do I test my box’s stacking strength?
Condition sample boxes at 50 percent relative humidity and room temperature for at least a day, then run a box compression test on a calibrated compression tester, which records the peak load before the box buckles. Divide your required stack load by your storage factor and compare. For the board alone, an edge crush test on strips cut from the box confirms the ECT. Packwire can arrange both through a testing lab on request.
Is ECT or BCT a better number to specify?
Specify ECT on the board and check BCT on the box. ECT is what box makers certify and buy board against, so it is the practical spec. BCT is the true measure of the finished box and the right check when a stack is tall, heavy or stored for months. The McKee formula connects the two.



