KEVOS® MAKEOS · Hydraulics

Hydrostatic Pressure and Tank Wall Force

What pressure and force does this liquid depth put on a tank wall and floor?

Pressure at depth, resultant force on a vertical rectangular wall and its centre of pressure, and the force on the tank floor, for any liquid.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Liquid depthmDepth of liquid at the wall.
Liquid densitykg/m³Liquid density (water 1000, seawater 1025, coolant emulsion about 1000 kg/m³).
Wall widthmWidth of the vertical wall panel.
Floor aream²Area of the tank floor.
Gas pressure above liquid (gauge)kPaGauge pressure of gas above the liquid; 0 for an open tank.

Method and formulas

  1. Bottom pressure p = p_s + ρ g h.
  2. Wall force (open tank) F = ρ g w h² ÷ 2 acting at h ÷ 3 above the bottom; a gas pressure adds p_s × w × h acting at mid-height.
  3. Floor force = p × floor area.
  4. Example: 2 m of water on a 3 m wide wall gives 58.84 kN, acting 0.66667 m above the floor.

Limitations

  • Static liquid only; sloshing, filling surges and wind are not included.
  • Wall design must also consider support conditions and deflection.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size tank walls, doors and bund panels
  • Find bolt loads on an inspection door
  • Check floor loading of a tank

Who it is for

  • Hydraulic and process engineers
  • Maintenance engineers
  • Design engineers

What you get

  • Pressure at the bottom
  • Resultant force on the wall and its height
  • Force on the floor

Interpreting the result

  • Design wall stiffeners for the force distribution, which is greatest at the bottom.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 3024–3027. Topic reference; no source tables or recommended settings are reproduced.

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Open the Hydrostatic Pressure and Tank Wall Force calculator