Water Tank Design: Pressure Calculation

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Discussion Overview

The discussion revolves around calculating the pressure acting on the vertical wall of a cylindrical water tank, specifically examining whether the same principles apply when replacing water with dry sand. The scope includes theoretical considerations and practical implications of pressure calculations in fluid and granular materials.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that the pressure on the wall can be calculated using the formula: Pressure = Density * gravity * height, where height is measured from the water surface to the point of calculation.
  • One participant expresses uncertainty about whether the same formula applies to dry sand, suggesting that while sand particles are small, they may not behave like a fluid.
  • Another participant notes that sand is not a true fluid and raises concerns about surface tension and other variables that may affect pressure calculations.
  • It is mentioned that the equations for dry sand will likely differ from those for water, with factors such as moisture content and grain size being significant.
  • A participant introduces the idea that the nature of the pressure vessel (static vs. dynamic) could influence the design and pressure calculations, indicating that dynamic conditions would require different considerations.
  • A reference to a paper is provided, suggesting that flow conditions alter the pressure dynamics, indicating a need for further exploration of the topic.

Areas of Agreement / Disagreement

Participants express differing views on whether the pressure calculations for water can be directly applied to dry sand, with no consensus reached on the applicability of the fluid pressure formula to granular materials.

Contextual Notes

Participants highlight the importance of factors such as moisture content, grain size, and the dynamic nature of the material in determining pressure calculations, indicating that assumptions about fluid behavior may not hold for granular materials.

Su Solberg
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Hello, everyone.

I am trying to calculate the pressure acting at the vertical wall of a cylinder water tank.

I am wondering whether the presure acting on the wall is as follow:

Pressure = Density * gravity * height

where height is from the water surface to the calculation point.


Also, I am wondering whether the situation is the same when i replace the water with dry sand.

Thank you very much for your help.
 
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Su Solberg said:
Hello, everyone.

I am trying to calculate the pressure acting at the vertical wall of a cylinder water tank.

I am wondering whether the presure acting on the wall is as follow:

Pressure = Density * gravity * height

where height is from the water surface to the calculation point.

Yes.

Su Solberg said:
Also, I am wondering whether the situation is the same when i replace the water with dry sand.

I'm not 100% sure, but I believe it would essentially be the same given that the sand particles are very small and would probably give a pressure field equivalent to that of a liquid.

CS
 
the math is right for a fluid, but...
since sand is not actual fluid,
I don't know it the math for a fluid would work
(if I pour a bucket of sand on the floor, it won't disperse flat)
so that seems to tell me surface tension may be a factor, not sure
there may be other variables to consider, too

I am intrigued how to figure that

dr
 
Su Solberg said:
Also, I am wondering whether the situation is the same when i replace the water with dry sand.

I would bet that the equations for dry sand will be different, but I'm not a civil engineer. I know that it will depend heavily on moisture content, and probably grain size (or some measure of it's flow-ability).
 
Su Solberg said:
Hello, everyone.

I am trying to calculate the pressure acting at the vertical wall of a cylinder water tank.

I am wondering whether the presure acting on the wall is as follow:

Pressure = Density * gravity * height

where height is from the water surface to the calculation point.


Also, I am wondering whether the situation is the same when i replace the water with dry sand.

Thank you very much for your help.

depend on weather the pressure vessel has the fluid inside in it has static or dynamic in nature...

cause if the sand is continuesly coming in and going out of the vessel; then in that case the design will b different and very critical...in that case stress concentration will come in picture ... consider notch sensitivity factor and dynamic factor for fatigue strength...

if it is static .. then it will not affect a lot...design can b same as that of water...

i think...
 
The analogies are similar - see equation 8 w/9:

http://www.mec.utt.ro/~tm/SIPA_05/Part1/Ola2_G.pdf

If you have "flow" then things change as per that paper.
 
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