Spherical Hoop Stress Thick-walled Section (Internal & External Pressure)

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Spherical Hoop Stress Thick-walled Section (Internal & External Pressure) Formula

\( \sigma_h  \;=\;  [\;  (p_i \; r_i^2) -  (p_e \; r_e^2)  - (r_i^2 \; r_e^2) \; (p_e - p_i \;/\; r^2)  \;]          \;/\;        [\; r_e^2 - r_i^2 \;] \) 
Symbol English Metric
\( \sigma_h \)  (Greek symbol sigma) = Spherical Hoop Stress \(lbf\;/\;in^2\) \(Pa\)
\( p_i \) = Internal Pressure \(lbf\;/\;in^2\) \(Pa\)
\( r_i \) = Internal Radius \(in\) \(mm\)
\( p_e \) = External Pressure \(lbf\;/\;in^2\) \(Pa\)
\( r_e \) = External Radius \(in\) \(mm\)
\( r \) = Radius to Point of Intrest \(in\) \(mm\)

 

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Tags: Hoop Stress