What is the Process for Determining Hydrostatic Forces in a Swimming Pool?

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SUMMARY

The discussion focuses on calculating hydrostatic forces acting on the walls of a 4 m x 4 m x 1.5 m swimming pool filled with water. The key equations used include Hc = yc sin(theta), Yf = 1xxc/yc*A, and FR = ϱghc * A. The correct hydrostatic force calculated is 44.1 kN, but the user struggles with determining the centroid (Yc) for the pool's walls. Clarification on centroid formulas is essential for accurate calculations.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with centroid calculations for geometric shapes
  • Knowledge of fluid mechanics equations
  • Basic algebra and trigonometry skills
NEXT STEPS
  • Research centroid formulas for rectangles and other shapes
  • Learn about hydrostatic pressure distribution in fluids
  • Study the derivation and application of the hydrostatic force equation FR = ϱghc * A
  • Explore examples of hydrostatic force calculations in engineering contexts
USEFUL FOR

This discussion is beneficial for students studying fluid mechanics, civil engineers involved in pool design, and anyone interested in understanding hydrostatic forces in practical applications.

MisterOL
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Homework Statement


Concider a 4 m long, 4 m wide and 1.5 m high aboveground swimming pool that is filled with water to the rim (completely). Determinate hydrostatic forces on each wall and distance of the line of actions of this force from the ground


Homework Equations


Hc = yc sin (theta)
Yf = 1xxc/yc*A
FR = ϱghc * A

The Attempt at a Solution



Sorry if I sound a bit "noob", this is all new to me but what I do not understand here is how to determinate Yc, areal center or centroid in english. Our teacher states that we should look at the centroid formulas for a givven shape but I don't find those online.

The answer is 44.1 kN and if someone could toutor me trough this easy example I might solve some more difficult ones on my own by understanding it properly... The books exapmle only shows a process from hc to Yc sin thetta and not how YC is determinated...

If hc = yc then yc is 1.5 then
FR = ϱghc * A gives 1000 * 9.81 * 1.5 * 16 which is 235,440 kN and not right :(
Assuming Po doesn't play a role here...
 
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anyone familiar with this ?
 
:( thanks for help