spherical gas tank

[logistic_guy]

A spherical gas tank has an inner radius of \(\displaystyle r = 1.5 \ \text{m}\). If it is subjected to an internal pressure of \(\displaystyle p = 300 \ \text{kPa}\), determine its required thickness if the maximum normal stress is not to exceed \(\displaystyle 12 \ \text{MPa}\).

 

[khansaheb]

A spherical gas tank has an inner radius of \(\displaystyle r = 1.5 \ \text{m}\). If it is subjected to an internal pressure of \(\displaystyle p = 300 \ \text{kPa}\), determine its required thickness if the maximum normal stress is not to exceed \(\displaystyle 12 \ \text{MPa}\).

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[khansaheb]

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem

Evaluate:
Stress = [(pressure) X ( radius)] \[2 X (shell thickness)]

 

[logistic_guy]

Evaluate:
Stress = [(pressure) X ( radius)] \[2 X (shell thickness)]

\(\displaystyle \sigma = \frac{pr}{2t}\)

determine its required thickness

\(\displaystyle t = \frac{pr}{2\sigma} = \frac{300 \times 10^3 \times 1.5}{2(12 \times 10^6)} = 0.01875 \ \text{m} = \textcolor{blue}{18.75 \ \text{mm}}\)