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Volumetric Capacity of Cylindrical Grain Bins (Hopper Bottom) Calculator












Volumetric Capacity Formula

Volumetric Capacity (\( V \)):

\[ V = \frac{\pi D^2}{4} \times EH + \frac{\pi D^2}{4} \times \frac{(D/2) \tan \phi}{3} + \frac{\pi D^2}{4} \times \frac{(D/2) \tan \delta}{3} \]

Where:

  • \( V \) is the bin capacity, in cubic meters (m³).
  • \( D \) is the bin diameter, in meters (m).
  • \( EH \) is the eave height of the bin, in meters (m).
  • \( \phi \) is the maximum angle of fill, in degrees.
  • \( \delta \) is the slope of the hopper, in degrees from horizontal.

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