Fluid Statics - Forces on Submerged Surface?

AI Thread Summary
The discussion focuses on calculating the force and center of pressure on a concrete retaining wall due to rainwater and saturated soil. Participants clarify that the "1-m width" refers to the wall's width perpendicular to the pressure force, not just the contact surface. The force calculation involves understanding that pressure varies with height, thus affecting the overall force on the wall. There are questions about applying the force equation for different widths and the relationship between pressure and height. The conversation also touches on formatting mathematical symbols in the forum.
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. dF=P_G ~dA 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 like this 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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