What is a Torispherical Head Pressure Vessel?
A torispherical head vessel utilizes DIN 28011 or ASME flanged and dished end caps consisting of a spherical crown and a curved toroidal knuckle radius to contain pressurized fluids safely.
How This Calculator Works
Our Torispherical Head Volume Calculator takes your vessel inside diameter (D) and optional straight flange height (sf), converts measurements into standard metric meters, and applies exact ASME / DIN 28011 geometric volume formulas. For alternative pressure vessel head geometries, check our ellipsoidal head volume calculator or combine with our cylindrical tank volume calculator for full vessel sizing.
How to Use the Torispherical Head Volume Calculator
Follow these simple point-by-point steps to calculate dished head volume for pressure vessels and storage tanks:
- Enter Inside Diameter (D): Input the internal diameter of the cylindrical vessel shell in your preferred unit.
- Enter Straight Flange Height (sf): (Optional) Input the straight cylindrical flange length beyond the dish knuckle.
- Select Measurement Units: Choose feet, inches, meters, or centimeters for each input dimension.
- Click "Calculate Volume": Press the calculate button to process ASME / DIN 28011 dished head geometry.
- Review Results: Instantly view total capacity converted into US Gallons, Litres, Cubic Feet, Cubic Meters, and UK Gallons.
Torispherical Head Geometry & Formulas
A torispherical head consists of three distinct geometric zones: a spherical crown, a toroidal knuckle region, and a cylindrical straight flange. For standard ASME Flanged & Dished heads (where crown radius L = Inside Diameter D, and knuckle radius r = 0.06 × D), the internal volume is calculated as:
ASME Torispherical Volume Formula:
Volume = 0.0847 × D³ + (π/4) × D² × sf
Where D is the inside head diameter, and sf is the length of the straight flange section.
Understanding Klöpperhead & Korbbogen Standards
In European standards (DIN 28011 Klöpper heads and DIN 28013 Korbbogen heads), dish dimensions follow specific crown and knuckle ratios to withstand internal pressure while minimizing material thickness requirements. Engineering reference: Pressure Vessel & Dished Head Standards.
Standard Tank Capacity & Volume Sizing Chart
| Tank Sizing / Model | Typical Dimensions | Litres | US Gallons |
|---|---|---|---|
| 500 Litres (132 gal) | 0.86m × 0.95m (2.8ft × 3.1ft) | 500 L | 132 gal |
| 1,000 Litres (264 gal) | 1.10m × 1.15m (3.6ft × 3.8ft) | 1,000 L | 264 gal |
| 2,500 Litres (660 gal) | 1.45m × 1.60m (4.8ft × 5.2ft) | 2,500 L | 660 gal |
| 5,000 Litres (1,320 gal) | 1.85m × 1.95m (6.1ft × 6.4ft) | 5,000 L | 1,320 gal |
| 10,000 Litres (2,640 gal) | 2.35m × 2.40m (7.7ft × 7.9ft) | 10,000 L | 2,640 gal |