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Hydrostatic Force on a Vertical Gate

Mediumhydrostaticssubmerged surfaces
A vertical plane gate has submerged area 4 m2 with its centroid 2 m below a water surface. The other side is exposed to atmospheric pressure. What is the net hydrostatic force? Use water specific weight γ = 9.81 kN/m3.
  1. A19.6 kN
  2. B39.2 kN
  3. C78.5 kN
  4. D157 kN
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Answer: C. 78.5 kN

For a submerged plane surface, F = γhc A = 9.81 × 2 × 4 = 78.48 kN, approximately 78.5 kN. Use the centroid depth for the force magnitude, not the center-of-pressure depth.
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