Engineering reference · simplified McKee model

Corrugated box compression calculator

Estimate top-to-bottom compression strength for an empty regular single-wall corrugated box. The calculator shows the exact equation, input units, sensitivity chart, primary research, and limits of the model.

No signup Imperial and metric Visible formula Primary research linked
5.874 × ECT The published short-form McKee coefficient and board edge-crush input.
Empty RSC Intended for a simple empty regular single-wall slotted container.
Estimate only Physical compression testing remains the decision-grade result.

Interactive calculator

Estimate box compression strength

Enter the edge crush test value, board caliper, and outside box dimensions. Length and width are used to calculate the box perimeter. Keep every length input in the unit system selected below.

Do not treat this result as a shipping guarantee. The simplified McKee formula is a screening estimate. Validate the production box, closure, contents, and distribution conditions with an appropriate physical test.
Use the measured ECT for the selected board construction.
Enter the combined corrugated board thickness.
Estimated top-to-bottom BCT 420.6 lbf 1.871 kN

Calculation shown

Perimeter: 44.0 in

5.874 × 32 × 0.125^0.508 × 44^0.492 = 420.6 lbf

The result is not adjusted for humidity, sustained loading, openings, pallet support, closure, manufacturing variation, or contents.

Input sensitivity

How the ECT input changes the estimate

The chart holds the current box perimeter and board caliper constant, then varies ECT from 60% to 140% of the entered value. It is a formula sensitivity view, not a confidence interval and not measured performance data.

Estimated BCT across seven ECT values

Simplified McKee estimates for a 12 by 10 inch box with 0.125 inch board caliper. Values use the current inputs.

Formula sensitivity data matching the chart
ECT factor ECT (lbf/in) Estimated BCT (lbf)
60%19.2252.4
80%25.6336.5
90%28.8378.6
100%32.0420.6
110%35.2462.7
120%38.4504.7
140%44.8588.9

Method

Formula and input definitions

The calculator uses the short-form McKee equation described in published corrugated-box research. The exponents preserve the published form instead of rounding both to a square root.

BCT = 5.874 × ECT × h0.508 × Z0.492
BCT
Estimated top-to-bottom box compression strength, expressed in pounds-force when imperial inputs are used or newtons when metric inputs are used.
ECT
Measured edgewise compression resistance of the corrugated board, in pounds-force per inch or kilonewtons per meter.
h
Combined corrugated board thickness, also called caliper.
Z
Box perimeter, calculated here as 2 × (outside length + outside width).

The dimensional units for ECT, caliper, and perimeter must be consistent. One kilonewton per meter is numerically equal to one newton per millimeter, so metric inputs return force in newtons before the page displays kilonewtons.

Use boundaries

Where the estimate can fail

Published research describes the simplified McKee model as useful for basic corrugated boxes but limited by its assumptions. It should not be stretched into a universal packaging specification.

  • Box style: The model is intended for simple empty regular single-wall slotted containers under top-to-bottom compression.
  • Openings: Hand holes, vents, windows, and large cutouts change the load path and are not represented.
  • Geometry: Unusual length-to-width or height-to-length ratios can reduce predictive accuracy.
  • Environment: Humidity, water exposure, storage time, and sustained load can reduce real stacking strength.
  • Distribution: Pallet gaps, overhang, vibration, impacts, closure method, print, scores, contents, and manufacturing variation are excluded.
Decision rule: Use the calculator to compare early design assumptions. Use a controlled physical compression test for the production decision. ASTM D642 covers compression tests on shipping containers, components, and unit loads.

FAQ

Questions about the estimate

What does this calculator estimate?

It estimates top-to-bottom box compression strength for an empty regular single-wall corrugated box using the simplified McKee formula. It does not predict filled-package performance or replace physical testing.

What is ECT?

Edge crush test, or ECT, measures the edgewise compression resistance of corrugated board. Enter a board value measured in pounds-force per inch for imperial calculations or kilonewtons per meter for metric calculations.

Can I use the result as a shipping specification?

No. The result is an engineering estimate. Box style, openings, humidity, storage time, pallet support, manufacturing variation, closure, and contents can materially change real performance. Validate the final package with an appropriate compression test such as ASTM D642.

Does the formula work for boxes with hand holes or vents?

Not reliably. Published studies show that openings and cutouts alter load paths and can reduce compression strength. A physical test or a model designed for the exact geometry is more appropriate.

Source bibliography

Research and test standards

  1. USDA Forest Service: Box compression analysis of world-wide data spanning 46 years. Urbanik and Frank, 2006. Reviews McKee equation assumptions, constraints, and multi-source box-compression data.
  2. The Role of Buckling in the Estimation of Compressive Strength of Corrugated Cardboard Boxes. Peer-reviewed open-access research deriving the short McKee form and describing its limitations.
  3. Compression Strength Estimation of Corrugated Board Boxes for a Reduction in Sidewall Surface Cutouts. Experimental and numerical study of box geometry and openings.
  4. Journal of Applied Packaging Research: Predicting the Effect of Gaps Between Pallet Deckboards on the Compression Strength of Corrugated Boxes. Experimental study of pallet support gaps and box compression.
  5. ASTM D642-25: Standard Test Method for Determining Compressive Resistance of Shipping Containers, Components, and Unit Loads. Current ASTM test-method page.

About this engineering reference

Sahal Sajid is Founder of Teal Packaging. This page exposes its equation, units, worked calculation, sensitivity data, source links, and limitations so the estimate can be checked rather than accepted as a black box.