Pressure carrying capacity of a hose

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Discussion Overview

The discussion revolves around the pressure carrying capacity of pipes with different diameters but identical materials and wall thicknesses. Participants explore the underlying mechanics of hoop stress and its implications for internal pressure resistance.

Discussion Character

  • Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant questions why smaller diameter pipes can withstand greater internal pressures compared to larger diameter pipes made from the same material and wall thickness.
  • Another participant introduces the concept of hoop stress, suggesting that a larger diameter pipe has more internal area for pressure to act upon, leading to a greater total pressure force that is distributed over the same wall material, resulting in higher stress.
  • A third participant prompts for calculations related to tangential stresses, indicating the relationship between internal pressure and the forces acting on the pipe walls.

Areas of Agreement / Disagreement

Participants present differing viewpoints on the mechanics of pressure resistance in pipes, with no consensus reached on the implications of hoop stress or the calculations involved.

Contextual Notes

Discussion includes assumptions about material properties and wall thickness uniformity, as well as the need for specific calculations to fully understand the relationships discussed.

Marts12
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Hi There,

Why is a pipe with a smaller diameter able to withstand a greater internal pressure than a pipe made from the exact same material and wall thickness but larger diameter?

Thank you
 
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Are you familiar with the concept of hoop stress? Basically, there is more internal area upon which the pressure acts, which means a larger total pressure force. If the wall thickness is the same, that larger force is distributed over the same amount of tubing material, so it experiences higher stress.
 
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Calculate it! Let's do the tangential stresses:

##d## ... inner diameter of the pipe
##l## ... length of the pipe
##t## ... wall thickness
##\Delta p## ... pressure above ambient pressure in the pipe

The force taken by the pipe walls equal the force due to the (over)pressure in the pipe.
 
Thank you both this is exactly what I needed.
 

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