Precision tests of QED

Steel Pressure Vessel

The end caps on a cylindrically shaped pressure vessel are commonly known as heads.

Shapes

The shape of the heads used can vary. The most common head shapes are:

Hemispherical head

A sphere is the ideal shape for a head, because the pressure in the vessel is divided equally across the surface of the head. The radius (r) of the head equals the radius of the cylindrical part of the vessel.

Ellipsoidal head

This is also called a 2:1 elliptical head. The shape of this head is more economical, because the height of the head is just a quarter of the diameter. Its radius varies between the major and minor axis.

Torispherical head

These heads have a dish with a fixed radius (r1), the size of which depends on the type of torispherical head. The transition between the cylinder and the dish is called the knuckle. The knuckle has a toroidal shape. The most common types of torispherical heads are:

Schematic of a torispherical head

Klöpper head

This is a torispherical head. The dish has a radius that equals the diameter of the cylinder it is attached to ($r_{1}=Do$). The knuckle has a radius that equals a tenth of the diameter of the cylinder ($r_{2}=0.1\times Do$), hence its alternative designation "Decimal head".

Also other sizes are: $h\geq 3.5\times t$ ,(page13) rest of height (lets say $h_{2}$) $h_{2}=0.1935\times Do-0.455\times t$ .

Korbbogen head

This is a torispherical head also named Semi ellipsoidal head (According to DIN 28013). The radius of the dish is 80% of the diameter of the cylinder ($r_{1}=0.8\times Do$). The radius of the knuckle is ($r_{2}=0.154\times Do$).

Also other sizes are: $h\geq 3\times t$ , rest of height (lets say $h_{2}$) $h_{2}=0.255\times Do-0.635\times t$ . This shape finds its origin in architecture.

Flat head

This is a head consisting of a toroidal knuckle connecting to a flat plate. This type of head is typically used for the bottom of cookware.

Pans typically have a bottom in the shape of a flat head

Diffuser head

This type of head is often found on the bottom of aerosol spray cans. It is an inverted torispherical head.

Typical application of a diffuser head: the bottom of an aerosol spray can

Conical head

This is a cone-shaped head.

Heat treatment

Heat treatment is usually required after cold forming, but not for heads formed by hot forming.Ref. ASME Section VIII Div.1 for further detail.

References

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