Are stress and pressure additive?

  • Context: Undergrad 
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Discussion Overview

The discussion revolves around the concept of stress and pressure, specifically whether they are additive when applied to a square rod. Participants explore how pressure is distributed across different areas of the rod's surface.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • One participant questions whether a square face of a rod experiencing 1 atm of pressure would mean each of its four sub-squares experiences 1 atm or 1/4 atm.
  • Another participant states that pressure and stress are defined as "force per area" and asserts that if the force per area is uniform, the pressure or stress remains the same across the surface.
  • A subsequent reply confirms that if the force per area is the same everywhere, then each face of the rod would indeed experience 1 atm.
  • Another participant adds that each point on the surface will experience the applied pressure.

Areas of Agreement / Disagreement

Participants generally agree that if the pressure is uniform, it is experienced equally across the surface. However, the initial question about the distribution of pressure among sub-squares introduces some uncertainty that remains unresolved.

Contextual Notes

The discussion does not address potential limitations regarding the assumptions of uniformity in pressure distribution or the implications of varying forces across different areas.

pyroknife
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If we have some pressure/stress (say 1 atm) applied to an end of a square rod. Let's say this square face expression this pressure/stress is discretized into 4 squares of equal area. Each each sub-square experience 1 atm or 1/4 atm?
 
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Pressure and stress are "force per area". If the force per area is the same everywhere, you have the same pressure or stress.
 
mfb said:
Pressure and stress are "force per area". If the force per area is the same everywhere, you have the same pressure or stress.
Oh, so each face would be experiencing 1 atm?
 
Each point will experience this pressure.
 

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