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Box compression calculator

Enter your box’s ECT rating, dimensions and storage conditions to calculate theoretical BCT strength, and the safe stack load for warehouse, shipping or display use. Uses the McKee formula, the most widely cited model for corrugated box compression.

Height is the vertical dimension of the box as stacked.

Adjust any value above to see results.

How the calculation works

This tool uses the McKee formula, the most widely cited empirical model for corrugated box compression strength:

BCT = 5.874 × ECT × √(2(L+W)) × H0.25

ECT is the edge crush test rating of the board in lb/in. L, W and H are box dimensions in inches. BCT is the theoretical box compression test result in pounds. The result assumes a perfect, well-made box at standard temperature and humidity. Real-world BCT measurements typically land at 80–100% of the McKee result.

ECT grades

ECT (lb/in)Board gradeTypical use
23Light single wallSmall parcels, lightweight mailers
32Standard single wallMost e-commerce shipping boxes
44Heavy single wallHeavier products, longer routes
48–51Heavy single wallIndustrial and heavy retail
61–71Double wallHeavy, fragile or pallet-stacked products
82Heavy double wallIndustrial goods, exports, long-term storage

Safety factors

Raw BCT is the theoretical failure point. Industry-standard safety margins:

Use caseFactorRationale
Warehouse stacking4×Static load, controlled environment
Dynamic shipping10×Vehicle vibration, drops, off-center stacking in transit
Retail display2.5×Stable, low-turnover, climate-controlled

Humidity and age degradation

Corrugated board loses strength as it absorbs moisture. Condition factors from McKee, Gander & Wachuta (1963) and TAPPI TM 804:

ConditionFactorReduction
New, dry (~50% RH)1.00None
30-day storage (~50% RH)0.8515%
Humid / extended (>65% RH)0.6040%

Worked examples

ScenarioECTL×W×H (in)ConditionBCT (adj.)Safe warehouseSafe shipping
Standard e-commerce mailer3212×9×6New~703 lb176 lb70 lb
Heavy retail, warehouse4418×14×1230-day~1,410 lb353 lb141 lb
Pallet-stacked double wall7124×20×18Humid~2,390 lb598 lb239 lb

Limitations

The McKee formula is calibrated for regular slotted containers (RSC). Die-cut trays, self-locking bottoms and irregular shapes need additional correction factors. Off-center loading or point loads can reduce effective strength by 20–40%. For regulatory compliance, carrier certification or insurance, use laboratory BCT testing.

Cite this tool

Tria Packaging. Box compression calculator (McKee formula). Retrieved from triapackaging.com/tools/compression-calculator/. Formula source: McKee, R.C., Gander, J.W. & Wachuta, J.R. (1963). Compression strength formula for corrugated boxes. Paperboard Packaging, 48(8), 149–159.

Related: Paper and board thickness chart · Box size calculator · ECT and flute types explained · Corrugated shipping boxes

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