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Carton Edge Crush (ECT) & Container Stacking Calculator

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See what it looks like

The bottom carton carries the whole stack for the whole voyage. Board strength decays with humidity and time, which is what the safety factor is for.

Board & Box Carton
N/mm
mm
mm
mm
mm
Load & Container Stacking
kg
×
mm

Box Compression Strength

— N

McKee prediction for a new, dry carton

Stacking Limits

Allowable Load on Bottom Carton
— N
Cartons That May Stack Above
— no.
Stack Height by Strength
— cartons
Stack Height by Container
— cartons
Governing Stack Height
— cartons
Load Carried by Bottom Carton
— kg

McKee describes a new carton in a dry laboratory. Real cartons lose a large fraction of that strength to humidity, to time under sustained load, and to every hand-hole, print panel and misaligned stack — which is why the safety factor is typically five or more for long sea freight rather than a nominal two.

Using this calculator

About the Carton Edge Crush (ECT) & Container Stacking Calculator

The formula

This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.

Box Compression Strength
boxCompressionStrength = f( ect, boardThickness, boxLength, boxWidth, boxHeight, boxWeight, safetyFactor, containerHeight )

Each input feeds the expression evaluated in the browser; the symbol table below names every term and its unit.

Symbols used above
SymbolStands forUnit
ectEdge Crush ResistanceN/mm
boardThicknessBoard Thicknessmm
boxLengthBox Lengthmm
boxWidthBox Widthmm
boxHeightBox Heightmm
boxWeightFilled Carton Weightkg
safetyFactorSafety Factor×
containerHeightUsable Container Heightmm
boxCompressionStrengthBox Compression StrengthN
allowableLoadAllowable Load on Bottom CartonN
boxesAboveCartons That May Stack Aboveno.
strengthLimitedStackStack Height by Strengthcartons
containerLimitStack Height by Containercartons
governingStackGoverning Stack Heightcartons
loadOnBottomLoad Carried by Bottom Cartonkg

How the result is derived

Step by step, from the values you type to the figure on screen.

  1. The 8 inputs are read from the form on every keystroke: Edge Crush Resistance, Board Thickness, Box Length, Box Width, Box Height, Filled Carton Weight, Safety Factor and Usable Container Height.
  2. Each value is checked against the accepted range in the input table below. A value outside its range stops the calculation rather than producing a misleading figure — the results blank out and a message appears.
  3. The validated values are substituted into the expression above, which resolves Box Compression Strength together with every supporting figure in one pass — no value is carried over from a previous entry.
  4. The supporting outputs — Allowable Load on Bottom Carton, Cartons That May Stack Above, Stack Height by Strength, Stack Height by Container, Governing Stack Height and Load Carried by Bottom Carton — come from the same pass, so they always describe the same case as the headline figure.
  5. Results are rounded for display only. The full-precision value is used throughout the chain, so reading a rounded intermediate figure back into the tool by hand can shift the last digit.

What each input means

Where to read each value on the floor, the unit it must be in, and the range the tool accepts.

InputUnitAccepted rangeDefaultWhat it means
Edge Crush ResistanceN/mm0.5 to 30 N/mm5.6
Board Thicknessmm1 to 15 mm4
Box Lengthmm50 to 2000 mm600
Box Widthmm50 to 2000 mm400
Box Heightmm50 to 2000 mm350
Filled Carton Weightkg0.5 to 200 kg12
Safety Factor×1 to 15 ×5
Usable Container Heightmm500 to 4000 mm2300

What the tool returns

The headline figure and every supporting value it is built from.

OutputUnitWhat it tells you
Box Compression Strength (headline result)NMcKee prediction for a new, dry carton
Allowable Load on Bottom CartonN
Cartons That May Stack Aboveno.
Stack Height by Strengthcartons
Stack Height by Containercartons
Governing Stack Heightcartons
Load Carried by Bottom Cartonkg

Worked example

Given

Edge Crush Resistance
5.6 N/mm
Board Thickness
4 mm
Box Length
600 mm
Box Width
400 mm
Box Height
350 mm
Filled Carton Weight
12 kg
Safety Factor
5 ×
Usable Container Height
2300 mm

The tool loads with this case already solved — the Box Compression Strength shown above is its answer. Change one value and the difference from this baseline is the sensitivity of the result to that variable.

How to use it

  1. Work through the input groups in order — Board & Box and Load & Container. The defaults are a realistic case, so you can change one value at a time and watch what moves.
  2. There is no calculate button. Every figure recalculates as you type or drag, which is what makes this usable for a what-if sweep rather than a single answer.
  3. Read Box Compression Strength in the dark results panel — that is the headline figure, expressed in N.
  4. Check the supporting rows underneath (Allowable Load on Bottom Carton, Cartons That May Stack Above, Stack Height by Strength, Stack Height by Container, Governing Stack Height and Load Carried by Bottom Carton) before acting on the headline — they are where an implausible input usually shows itself first.
  5. Reset to defaults returns every field to the reference case, which is the quickest way to check whether a surprising result came from the tool or from an input you had changed earlier.

Where this is used

  • Process planning — establishing Box Compression Strength before a trial is booked, so machine time and material in Factory Physics & Assembly Logistics are committed against a calculated figure rather than an estimate.
  • Costing and quotation — Box Compression Strength is an input to the cost sheet, and quoting from a worked number rather than a remembered one is what keeps a margin intact.
  • Troubleshooting — when the floor result drifts from plan, entering the measured values (starting with Edge Crush Resistance) shows how much of the gap in Box Compression Strength each variable explains.
  • Teaching and study — the accepted ranges bracket normal Factory Physics & Assembly Logistics practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Assumptions and limits

  • McKee describes a new carton in a dry laboratory. Real cartons lose a large fraction of that strength to humidity, to time under sustained load, and to every hand-hole, print panel and misaligned stack — which is why the safety factor is typically five or more for long sea freight rather than a nominal two.
  • Every input is bounded to the range normal practice occupies (Edge Crush Resistance 0.5 to 30 N/mm, Board Thickness 1 to 15 mm and Box Length 50 to 2000 mm, and so on for the rest). Those bounds are guard rails against typing errors, not a claim that the formula fails one unit outside them.
  • The calculation is deterministic: the same inputs always give the same result. It carries no allowance for machine condition, operator skill, ambient conditions or lot-to-lot material variation unless an input above explicitly represents one.
  • Nothing is sent anywhere. The maths runs in your browser, so the numbers you type never leave the page.

Questions people ask

What do I need to know before using the Carton Edge Crush (ECT) & Container Stacking Calculator?

Have these to hand: Edge Crush Resistance, Board Thickness, Box Length, Box Width, Box Height, Filled Carton Weight, Safety Factor and Usable Container Height. With those entered, the tool returns Box Compression Strength immediately.

What exactly is Box Compression Strength?

McKee prediction for a new, dry carton. It is reported in N. It is derived from Edge Crush Resistance, Board Thickness, Box Length, Box Width, Box Height, Filled Carton Weight, Safety Factor and Usable Container Height, and is the figure the rest of the Factory Physics & Assembly Logistics calculation is built around.

Which units does this calculator expect?

Enter Edge Crush Resistance in N/mm, Board Thickness in mm, Box Length in mm, Box Width in mm, Box Height in mm, Filled Carton Weight in kg, Safety Factor in × and Usable Container Height in mm. Mixing unit systems is the most common cause of a result that looks an order of magnitude wrong — convert before typing, not after reading.

What are the other figures under the main result?

They are the intermediate quantities the calculation passes through: Allowable Load on Bottom Carton, Cartons That May Stack Above, Stack Height by Strength, Stack Height by Container, Governing Stack Height and Load Carried by Bottom Carton. They are shown because a headline number nobody can trace is a number nobody trusts — checking them against your own expectation is the fastest way to confirm the inputs were read as you intended.

Can I rely on this for a production decision?

McKee describes a new carton in a dry laboratory. Real cartons lose a large fraction of that strength to humidity, to time under sustained load, and to every hand-hole, print panel and misaligned stack — which is why the safety factor is typically five or more for long sea freight rather than a nominal two. Treat the output as an engineering estimate that narrows the trial window, not as a substitute for the trial.

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