Discussion Overview
The discussion revolves around calculating the collapse pressure of a cylindrical pressure vessel with specific dimensions and material properties. Participants explore the implications of wall thickness on stress calculations and the potential for buckling, considering both theoretical and practical aspects of pressure vessel design.
Discussion Character
- Homework-related
- Technical explanation
- Debate/contested
Main Points Raised
- One participant presents a problem involving a cylindrical pressure vessel with a thickness of 100mm and an inner radius of 254mm, seeking to calculate the pressure that would cause collapse.
- Another participant questions whether collapse buckling should be considered and asks for the formula used.
- A participant suggests using the formula for hoop stress, noting that hoop stress is the maximum stress for thick-walled vessels, but expresses confusion about how to incorporate the thickness of the end caps into the calculations.
- There is a clarification regarding the dimensions, with one participant correcting a typo from meters to millimeters, which significantly affects the applicability of thick-walled pressure vessel equations.
- One participant recommends researching radial compressive buckling of thin-walled cylinders, drawing an analogy to axial compressive buckling of rods, and provides a practical example of observing buckling in a 2-liter bottle.
- Another participant agrees that the vessel is classified as thick-walled but raises uncertainty about whether the same mode of instability applies given the specific thickness-to-diameter ratios and pressure differences.
Areas of Agreement / Disagreement
Participants generally agree that the vessel is classified as thick-walled, but there is no consensus on whether collapse buckling should be considered or how it might affect the calculations. Multiple competing views remain regarding the appropriate approach to the problem.
Contextual Notes
Participants express uncertainty about the applicability of thin-walled versus thick-walled equations, particularly in relation to the dimensions provided. There are unresolved questions about the influence of end cap thickness on stress calculations.