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# Hydrostatic Force acting on Submerged Surface

## Calculate the thrust force acting on a submerged surface.

The thrust force acting on a surface submerged in a liquid can be calculated as

F = p a A

= ρ g h a A                           (1)

where

F = thrust force (N)

p a = ρ g h a = average pressure on the surface (Pa)

A = area of submerged surface (m2)

h a = average depth (m)

ρ = density (kg/m3 )  (water 1000 kg/m3 )

g = acceleration of gravity (9.81 m/s2)

### Example - The thrust force acting on the side of a container

The trust force acting on the submerged vertical side of a container can be calculated as

F = p a A

= ( (p t + p b ) / 2) A

= ( ρ g (h t + h b ) / 2) A (2)

where

p t = pressure at the top of the submerged surface (Pa)

p b = pressure at the bottom of the submerged surface (Pa)

h t = depth at the top of the submerged surface (m)

h b = depth at the bottom of the submerged surface (m)

The thrust on a surface with width 1 m and height from 0 m to 2 m - in a water-filled container can be calculated as

F = ( ρ g (h t + h b ) / 2) A

= (1000 kg/m3 ) (9.81 m/s2) ((0 m) + (2 m)) / 2) ( (1 m) (2 m) )

= 19620 N

= 19.6 kN

### Example - The thrust force acting on the bottom of a container

The trust force acting on the horizontal bottom of a submerged container can be calculated as

F = p b A

= ρ g h b A (2b)

The thrust on a bottom with width 1 m and length 2 m - on depth 1 m - in a water filled container can be calculated as

F = ρ g h b A

= (1000 kg/m3 ) (9.81 m/s2) (1 m) ( (1 m) (2 m))

= 19620 N

= 19.6 kN

## Related Topics

• ### Fluid Mechanics

The study of fluids - liquids and gases. Involving velocity, pressure, density and temperature as functions of space and time.

## Related Documents

• ### Archimedes' Law

Forces acting on bodies submerged in fluids.
• ### Buoyancy

Buoyancy is the resultant force acting on a submerged body.
• ### Center of Gravity

A body and the center of gravity.
• ### Center of Gravity and Buoyancy

Stability - the center of gravity vs. the center of buoyancy.
• ### Hydrostatic Pressure vs. Depth

Depth and hydrostatic pressure.
• ### Underground Pipes - Earth Pressure

Pressure acting on underground pipes due to weight of soil and transport.

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## Citation

• The Engineering ToolBox (2011). Hydrostatic Force acting on Submerged Surface. [online] Available at: https://www.engineeringtoolbox.com/thrust-submerged-surface-d_1767.html [Accessed Day Month Year].

Modify the access date according your visit.

4.10.13

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