Effects of External Pressure on a Cone

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Discussion Overview

The discussion centers on the calculation of stresses, particularly hoop stress, in a conical structure subjected to external pressure. Participants explore the theoretical framework and seek analogous derivations related to hollow cylindrical geometries.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant notes familiarity with calculating stresses in hollow cylinders and seeks guidance on analogous methods for a conical shape under external pressure.
  • Another participant provides a link to a Google search for calculating hoop stress on a cone, suggesting that relevant information may be available online.
  • A subsequent reply expresses disappointment with the response, indicating a desire for more detailed insights rather than a general search link.
  • A later reply asserts that the search results include the derivation requested by the original poster.

Areas of Agreement / Disagreement

Participants do not appear to reach consensus on the adequacy of the provided resources, with some expressing dissatisfaction with the responses and others suggesting that useful information is available through external links.

Contextual Notes

The discussion reflects varying expectations regarding the depth of insight and specificity in responses, with some participants seeking detailed derivations while others point to existing resources.

Shain3
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In my study I deal with tubulars frequently, and it is well known how to calculate stresses due to external pressure on a (hollow) uniformly-thick cylinder (i.e. a pipe).

Suppose now that I have a cone, tapering downward like a V, with a hollow cylindrical interior (like the inside of a pipe) to which I apply external pressure. Given that the pressure will act perpendicularly to the tapered exterior of the cone, is there a well-known way to compute stresses (specifically hoop stress) on the interior of this body? Or perhaps someone could point me in the direction of some analogous derivation that could get me started?
 
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To be honest I was hoping for something more insightful than a non-specific google search I'd already done.
 
The search results include the derivation you were asking about.
 

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