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- TL;DR Summary
- How to calculate the maximum stress in a rectangular pressure vessel subjected to hydrostatic pressure?

Hi,

it's not easy to find formulas for stress in rectangular pressure vessels. However, I've found some in a Polish book titled "Podstawy konstrukcji aparatury chemicznej" (Fundamentals of the design of chemical process equipment) by J. Pikon. The problem is that the book provides equations for wall thickness and bending moment for the case of uniform pressure and only for wall thickness for the case of hydrostatic pressure. Here's the latter equation: $$g=0,5B \sqrt{\frac{p_{h}}{k}}$$ where: ##B## - width (length of a shorter side), ##p_{h}=\rho g H## - hydrostatic pressure, ##k## - allowable stress. I was thinking about converting this formula so that it solves for the stress: $$\sigma=\frac{p_{h}B^{2}}{4g^{2}}$$ but I'm not sure if this approach is correct. Maybe I should try to modify the equation for bending moment in a vessel subjected to uniform pressure instead. The question is how to do it though.

it's not easy to find formulas for stress in rectangular pressure vessels. However, I've found some in a Polish book titled "Podstawy konstrukcji aparatury chemicznej" (Fundamentals of the design of chemical process equipment) by J. Pikon. The problem is that the book provides equations for wall thickness and bending moment for the case of uniform pressure and only for wall thickness for the case of hydrostatic pressure. Here's the latter equation: $$g=0,5B \sqrt{\frac{p_{h}}{k}}$$ where: ##B## - width (length of a shorter side), ##p_{h}=\rho g H## - hydrostatic pressure, ##k## - allowable stress. I was thinking about converting this formula so that it solves for the stress: $$\sigma=\frac{p_{h}B^{2}}{4g^{2}}$$ but I'm not sure if this approach is correct. Maybe I should try to modify the equation for bending moment in a vessel subjected to uniform pressure instead. The question is how to do it though.