Fluid Statics - Forces on Submerged Surface?

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SUMMARY

The discussion focuses on calculating the force and center of pressure on a concrete retaining wall subjected to rainwater and saturated soil. The wall's width is specified as 1 meter, which is critical for determining the force acting on it. The pressure exerted by the fluid increases with height, thus affecting the force calculation. Participants emphasize the importance of understanding the dimensions involved in the problem, particularly how the width relates to the height of the water and soil pressure.

PREREQUISITES
  • Fluid statics principles
  • Understanding of pressure calculations in fluids
  • Basic knowledge of concrete retaining wall design
  • Familiarity with force and center of pressure concepts
NEXT STEPS
  • Study the derivation of hydrostatic pressure equations
  • Learn about the calculation of center of pressure for submerged surfaces
  • Explore the effects of soil saturation on fluid dynamics
  • Review examples of retaining wall design under fluid pressure conditions
USEFUL FOR

Civil engineers, structural engineers, students studying fluid mechanics, and professionals involved in retaining wall design and analysis.

e.pramudita
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QUESTION
Rainwater collects behind the concrete retaining wall shown in the figure. If the water saturated soil (specific gravity 2.2) acts as a fluid, determine the force and center of pressure on a 1-m width of the wall.

attachment.php?attachmentid=187909&d=1356276372.png


PROBLEM
1. What does it mean by 1-m width of the wall? Is it 1-m from contact surface with water and soil? Isn't the value of force depends on the height (since pressure does)?

2. [tex]dF=P_G ~dA[/tex] is the definition of force. How can I apply this for 1-m, 2-m, 3-m, or x-m width of the wall?
It is essentially asking for the force value inside the wall vertically. But shouldn't this value depends on the height (y) since pressure does?

P.S. How do you make mathematics symbols in the same line with usual word. If I were to write latex here [tex]like this[/tex] it makes a new line.
 
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This is homework.

Please follow the homework procedure.

https://www.physicsforums.com/showthread.php?t=93682

Here is a hint : The wall is a 3 dimensional object. Which dimension do you think the 1m is measured in?
 

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