How to Calculate Box Compression Strength (BCT)
Learn to calculate BCT using the McKee formula. Understand how paper specifications and box dimensions affect compression strength.
Box Compression Test (BCT) measures how much weight a corrugated box can bear before collapsing. Understanding BCT calculations helps you design boxes that protect products during shipping and storage.
What is BCT?
BCT (Box Compression Test) measures the maximum load a box can withstand when force is applied to its top. It's expressed in kilograms (kg) or kilonewtons (kN).
Why BCT Matters:
- Prevents product damage during shipping
- Determines safe stacking height in warehouses
- Helps select appropriate paper grades
- Builds customer confidence
The McKee Formula
The industry-standard formula for estimating BCT:
BCT = k × ECT × √(h × Z)
Where:
- k = Constant (typically 5.87 for kg/cm units)
- ECT = Edge Crush Test value of corrugated board (kg/cm)
- h = Caliper (thickness) of corrugated board (cm)
- Z = Box perimeter = 2 × (Length + Width) in cm
Calculating ECT
ECT depends on the paper combination:
ECT = (Ring Crush of Liner 1 + Ring Crush of Liner 2 + Ring Crush of Fluting) × Take-up Factor
Typical Ring Crush Values (kg/cm)
| Paper Grade | GSM | Ring Crush |
|---|---|---|
| Kraft | 150 | 7.5 |
| Kraft | 180 | 9.0 |
| Kraft | 200 | 10.0 |
| Test Liner | 150 | 6.0 |
| Test Liner | 180 | 7.2 |
| Semi-Chemical | 100 | 5.5 |
| Semi-Chemical | 120 | 6.6 |
| Semi-Chemical | 150 | 8.0 |
Flute Take-up Factors
| Flute Type | Take-up Factor | Caliper (mm) |
|---|---|---|
| A-Flute | 1.56 | 4.8 |
| B-Flute | 1.35 | 2.5 |
| C-Flute | 1.45 | 3.6 |
| E-Flute | 1.24 | 1.5 |
| F-Flute | 1.22 | 0.8 |
| BC-Flute | 1.40 | 6.5 |
| EB-Flute | 1.29 | 4.0 |
Step-by-Step BCT Calculation
Example: 3-Ply Box
Box Dimensions: 40cm × 30cm × 25cm Board Specification:
- Top Liner: Kraft 150 GSM (RC: 7.5)
- Flute: Semi-Chem 120 GSM, B-Flute (RC: 6.6)
- Bottom Liner: Test Liner 150 GSM (RC: 6.0)
Step 1: Calculate ECT
ECT = (7.5 + 6.0 + 6.6 × 1.35)
ECT = 7.5 + 6.0 + 8.91 = 22.41 kg/cm
Step 2: Get Caliper
B-Flute caliper = 0.25 cm
Step 3: Calculate Perimeter
Z = 2 × (40 + 30) = 140 cm
Step 4: Apply McKee Formula
BCT = 5.87 × 22.41 × √(0.25 × 140)
BCT = 5.87 × 22.41 × √35
BCT = 5.87 × 22.41 × 5.92
BCT = 778.8 kg
Result: This box can withstand approximately 779 kg of top load.
Safety Factor
Never use 100% of calculated BCT. Apply safety factors:
| Condition | Safety Factor |
|---|---|
| Dry storage, short term | 3× |
| Normal warehouse, 30 days | 4× |
| Humid conditions, 90 days | 5× |
| Export shipping, unknown conditions | 6× |
Safe Stacking Load for our example:
Safe Load (normal warehouse) = 779 ÷ 4 = 195 kg
Factors Affecting Actual BCT
1. Humidity
- BCT drops 40-60% in humid conditions
- Use moisture-resistant liners for exports
2. Storage Duration
- BCT degrades over time (creep)
- After 90 days, box retains only 55-60% of original BCT
3. Box Style
- RSC boxes have lowest BCT
- Full overlap slotted (FOL) boxes +20% BCT
- Die-cut designs vary significantly
4. Printing
- Heavy printing coverage can reduce BCT by 10-15%
- Water-based inks affect less than solvent inks
5. Hand Holes
- Each pair of hand holes reduces BCT by 15-20%
When to Use 5-Ply vs 3-Ply
Use 3-Ply When:
- Product weight <10 kg
- Short supply chain
- Controlled storage
- BCT requirement <400 kg
Use 5-Ply When:
- Product weight >10 kg
- Long transportation
- Unknown storage conditions
- BCT requirement >500 kg
Quick BCT Reference
3-Ply Boxes (B-Flute, 150 GSM Liners)
| Box Size (cm) | Perimeter | BCT (kg) |
|---|---|---|
| 20×15×10 | 70 | 550 |
| 30×20×15 | 100 | 660 |
| 40×30×25 | 140 | 780 |
| 50×40×30 | 180 | 885 |
| 60×45×35 | 210 | 956 |
5-Ply Boxes (BC-Flute, 180 GSM Liners)
| Box Size (cm) | Perimeter | BCT (kg) |
|---|---|---|
| 40×30×25 | 140 | 1,450 |
| 50×40×30 | 180 | 1,640 |
| 60×45×35 | 210 | 1,772 |
| 70×50×40 | 240 | 1,895 |
Calculate BCT Instantly
Use our free BCT Calculator to get accurate compression strength values for your boxes.
Open BCT Calculator →Key Takeaways
- BCT = k × ECT × √(h × Z) - memorize this formula
- Always apply safety factor (3-6×) based on conditions
- Humidity is the biggest enemy of BCT
- 5-ply for heavy products (>10 kg)
- Test actual BCT when possible, calculations are estimates
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