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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.

in
in
in
lb

Measure inside the box, length and width across the opening. Weight is one box with its contents.

Stacking pattern
Pallet problems

Enter your inside box dimensions and packed weight to see how high it can safely stack.

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.

  1. 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.

  2. 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.

  3. 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.

ECT grade needed for an 18 by 12 by 10 inch B-flute box by packed weight and stack height, 60 percent humidity, 30 days, column stacked
Box weight 4 high6 high8 high10 high12 high
15 lb6.8 kg 23 ECT23 ECT23 ECT23 ECT26 ECT
25 lb11.3 kg 23 ECT23 ECT26 ECT32 ECT40 ECT
35 lb15.9 kg 23 ECT26 ECT40 ECT55 ECT55 ECT
50 lb22.7 kg 23 ECT40 ECT55 ECT71 ECT DW82 ECT DW
65 lb29.5 kg 29 ECT55 ECT71 ECT DW82 ECT DWOver 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

  1. Test five or more conditioned boxes and take the average compression strength.
  2. Multiply it by your storage factor from the tables above.
  3. 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.

Build a box that holds the stack

Design a custom shipping box in 3D with live pricing, or ask us for a heavier grade or double wall for tall pallet loads.