Example question on pressure of liquids

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Discussion Overview

The discussion revolves around the considerations involved in dam design, specifically whether to prioritize the horizontal extent of water behind the dam or the vertical depth of the water. The scope includes conceptual understanding and technical reasoning related to fluid pressure and structural design.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants suggest that the length and thickness of the dam wall are important because the total force on the wall is proportional to the area, which depends on both the wall length and water depth.
  • One participant emphasizes that depth determines pressure, arguing that pressure is the same at a given depth regardless of the volume of water surrounding it.
  • Another participant raises the question of what affects pressure more significantly: depth or the amount of surrounding water.

Areas of Agreement / Disagreement

Participants express differing views on the importance of horizontal extent versus vertical depth in determining pressure and design considerations for dams. No consensus is reached on which factor is more critical.

Contextual Notes

Participants reference concepts of stress and strain in dam design but do not provide detailed mathematical formulations or definitions, leaving some assumptions and dependencies on definitions unresolved.

jayadds
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This question seemed a bit abstract to me, maybe some of you could come up with an answer with explanation?

When designing a dam should one consider the horizontal extent of the water behind the dam or the vertical depth of the water? Justify your answer.

Thanks.
 
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Hi Jayadds,

Do you mean the length of the dam wall?
 
Hassan2 said:
Hi Jayadds,

Do you mean the length of the dam wall?

Yes, I mean the length of the dam wall as well as the thickness.
 
jayadds said:
Yes, I mean the length of the dam wall as well as the thickness.

I'm not an expert in this field but according to my limited knowledge, the length of the wall does matter because the total force on the wall is proportional to area and the area is proportional to the wall length as well as to the water depth ( thickness). But a more detailed explanation is about stress and strain of the wall under the forces. Long dams are build oval-shaped or in other curved surfaces to resist the forces.
 
hi jayadds! :smile:
jayadds said:
When designing a dam should one consider the horizontal extent of the water behind the dam …

i think that means, how far away the water extends from the dam :wink:
 
Depth determines pressure, not volume. This means that whether you're at the bottom of the ocean or at the bottom of a narrow well, as long as the water depth is the same, the pressure and force on you will also be the same.
 
tiny-tim said:
hi jayadds! :smile:


i think that means, how far away the water extends from the dam :wink:

This.

And to answer the original question with another, just think about it a bit. What affects the pressure, how deep you are or how much water you have around you?
 

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