The formula for the typical 2:1 elliptical head is listed in paragraph UG-32(d) of ASME Code Section VIII, Division 1. The general formula for all elliptical heads within the dimensional scope is addressed in Appendix 1-4. Factor K varies depending on the shape of the ellipse. Please note that an elliptical 2:1 head must not be mixed up with the German DIN 28013 torispherical head (Korbbogenboden). Although both types of heads are within each other’s shape tolerances, they shall be calculated using different formulas resulting in different required thicknesses. As a rule the required wall thickness of an elliptical 2:1 head is less than that of a Korbbogenboden. If a nozzle reinforcement calculation in the crown area is needed, however, the Korbbogenboden formula is more advantageous.

P = MAWP + hydrostatic head at operating conditions

Do/D = ouside/inside diameter of the straight flange in corroded condition

S = allowable stress value from Section II, Part D of the material at design temperature

E = efficiency factor 1 for seamless heads if UW-11(a)(5)(b) is met (Cat. B o C adjacent butt welds needs to be spot radiographed as a minimum) otherwiese 0,85.

h = inside height of the head without straight flange in corroded condition (example: typical 2:1 elliptical head with 1000 mm inside diameter => h = 250 mm)

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