1001Ferramentas
📦 Calculators

Box Compression Strength (McKee)

Estimates the vertical compression strength of a corrugated box with the simplified McKee formula, BCT = 5.87 × ECT × √(board caliper × box perimeter), where ECT — the edge crush resistance measured per TAPPI T 811 (ISO 3037) — is in newtons per millimetre and both dimensions are in millimetres. The result, in newtons, is the load an empty box withstands in the laboratory compression test, with the board conditioned at 23 °C and 50% relative humidity. Because strength grows with the square root of the perimeter and linearly with ECT, doubling the perimeter buys only 41% more, while switching to a flute with 30% higher ECT buys the full 30% — upgrading the board usually beats reshaping the box. For real pallet stacking, divide the BCT by a safety factor of 3 to 5, which covers the stiffness lost to ambient humidity, the creep of board under load over weeks and the misalignment between boxes in the column. Enter the ECT, the board caliper and the box perimeter.

Result

How much load a corrugated box takes in a stack

The box that crushes is always the bottom one, and the damage surfaces three weeks later at the distribution centre, pallet already built and invoice already issued. Packaging engineers, board buyers and whoever signs off the pallet pattern want a BCT figure before the flute specification closes, because with a number on the table the argument over six layers versus four turns into arithmetic. Without it the choice becomes habit — C flute, as always — and the cost reappears as damage returns, usually well above the price gap between boards.

Simplified McKee: BCT = 5.87 × ECT × √(h × P). ECT is edge crush resistance, tested to ASTM D5013, in newtons per millimetre — B flute lands between 3 and 5, C flute between 5 and 7, and a BC double reaches 14. The h term is board caliper: near 3 mm for B, 4 mm for C, 7 mm for BC. P is the base perimeter, 2 × (length + width). Newtons and millimetres from start to finish, with no exception: ECT quoted in kgf/cm converts at 0.98, and in lb/in at 0.175.

The test runs on an empty, brand-new, squarely glued box conditioned at 23 °C and 50% relative humidity — three conditions the warehouse contradicts. At 85% humidity board sheds close to half its stiffness; under steady load, creep eats away strength over weeks; and a hand hole, a window or a tear strip removes material the formula knows nothing about. Hence the safety factor of 3 to 5 applied to BCT. The equation further assumes a regular slotted container of sane proportions: tall, narrow packs come out weaker than predicted.

Frequently asked questions

How many boxes can I stack from the default result?
The defaults — 6.5 N/mm ECT, 4 mm caliper and a 1400 mm perimeter, which describes a 400 by 300 box — give 2855.3 N, about 291 kgf in the laboratory test. With a safety factor of 4, the allowable load on the bottom box falls to roughly 714 N, or 73 kgf. At 10 kg per filled box that carries seven boxes above the first, eight layers counting it. For long storage or a humid warehouse, switch to a factor of 5 and redo the arithmetic.
Is it better to raise ECT or to thicken the board?
They enter the equation differently: ECT is linear, caliper sits under the square root. Starting from the defaults, lifting ECT from 6.5 to 8.45 N/mm, a 30% gain, moves BCT from 2855.3 to 3711.8 N, the same 30%. Thickening the board from 4 to 7 mm, C flute to BC, reaches 3777.2 N, a 32% gain, but with far more fibre and more truck volume per box. Ask the supplier about ECT first and grammage second. Geometry ranks last: doubling the perimeter to 2800 mm buys only 41%.
Does the perimeter mean the base or the whole box?
The base: 2 × (length + width), taken from the internal dimensions you specify to the supplier. Height never appears, which looks odd until you watch what actually fails — the side panels buckle, and buckling depends on board bending stiffness and the total length of the four folds, never on how tall the walls stand. Full McKee replaces caliper with bending stiffness in both directions, under fractional exponents; the simplified version assumes ordinary proportions, so a tall, narrow box reads optimistic.

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The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.