Vertical rectangle hydrostatics
Submerged-plane center of pressure
Inputs
Constant user-entered density; density variation and fluid-property lookup are excluded.
User-entered horizontal width of a fully submerged vertical rectangle.
User-entered vertical height of the fully submerged rectangular plane.
Vertical depth of the rectangle centroid below the free surface; orientation is fixed to vertical.
Results
Rectangle areaA
0.96
Hydrostatic resultant force
23.536
Rectangle centroidal second moment
0.0512
Center-of-pressure offset below centroid
0.021333
Center-of-pressure depth below free surface
2.5213
F = ρgycA; Ix = bh³/12; yCP = yc + Ix/(Ayc)
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Hydrostatic pressure · Flow continuity · Pipe mean velocity · Bernoulli equation
Method
Formula, when it applies, and when it does not
Calculate hydrostatic resultant force and center-of-pressure depth for a fully submerged vertical rectangular plane from geometry and centroid depth.
F = ρgycA; Ix = bh³/12; yCP = yc + Ix/(Ayc)
When
- Fully submerged vertical rectangle
- Standard gravitational acceleration
Don’t
- This is a fully submerged vertical rectangular-plane, constant-density hydrostatic arithmetic screen only. It does not analyze inclined or curved surfaces, variable density, free-surface motion, vessel or support structure, plate stress, fasteners, pressure rating, installation, safety, or approval.