Formulas for the geometric dimensions and mass calculation of standard elliptical head shapes

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Formulas for the geometric dimensions and mass of standard elliptical head shapes:
Material diameter D0: D0 = 1.211(Di + δp) + 2h0
Mass G0: G0 = 6.165 × [1.211(Di + δp) + 2h0]² × δp × 10³
Internal surface area Fi: Fi = 1.048Di² + √Di × h0
Head mass G: G = 8.51 × [（Di + δp)² + 24.7 × (Di + δp) × h0] × δp × 10³
Volume V: V = 0.1309Di² + 0.785Di × h0
D0 – Diameter of the circle obtained after unfolding the head, in mm
Di – Diameter of the neutral layer of the head, in mm (inner diameter of the head + wall thickness, or outer diameter of the head – wall thickness)
h0 – Height of the straight edges of the head, in mm
δp – Thickness of the head, in mm
Note: The information is taken from the first volume of the Handbook on the Use of Pressure Vessels and Chemical Equipment, compiled by Dong Daqin and Yuan Fengyin, published by the Chemical Industry Press