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Morse - O - Tool

Concave Round Compression Force Calculator

Instant tablet area, shape factor, and compression force (kN & U.S. tons)

This Concave Round Tablet Calculator helps pharmaceutical engineers instantly calculate plan area, shape factor, and compression force for round tablets with concave surfaces to support accurate press setup and tooling design.

Diameter of the round tablet.
Concavity depth of the punch face.
Auto calculates pressure based on Shape Factor lookup table.

Shape Factor to Allowable Pressure Table

Shape Factor (S/F)Allowable Pressure (kN/mm²)Concavity Level
0.000 - 0.0502.172 - 1.460Flat to Shallow
0.050 - 0.1001.460 - 0.893Shallow to Standard
0.100 - 0.2000.893 - 0.334Standard to Deep
0.200 - 0.3500.334 - 0.077Deep to Very Deep

Higher shape factors (deeper concavity) require lower pressures to prevent tooling damage.

Formula uses circular plan area calculation (π × r²). Concavity affects tablet volume but not compression area. Always validate with your SOPs and press vendor limits.

Disclaimer: Results are approximate, we assume no liability for their accuracy

FAQ

How is concave round tablet area calculated?

Plan area A = 0.785 × W², where W is the diameter. The concavity affects tablet volume and appearance but not the compression plan area.

How is pressure automatically calculated?

Pressure is determined using a Shape Factor (S/F) lookup table. Higher shape factors (deeper concavity) require lower pressures to prevent tooling damage and ensure proper tablet formation.

What is the shape factor for concave tablets?

Shape Factor (S/F) = D ÷ W, where D is cup depth and W is diameter. Higher values indicate deeper concavity.

Why is concavity important in tablet design?

Concavity affects tablet strength, disintegration, coating uniformity, and patient acceptance. It also influences tooling wear and compression forces.

Which units does the calculator output?

Force in kN and U.S. short tons (1 kN ≈ 0.112404 short tons).

What's the difference between S7 and O1/D2 steel?

S7 steel offers 100% force capacity with high toughness. O1/D2 steels provide 90% of S7 capacity but offer different wear characteristics and may be more cost-effective.