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Spherical Hoop Stress Thick-walled Section (External Pressure Only)

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

\( \sigma_h \;=\;   \dfrac{  - p_e \cdot r_e^2 }{ r_e^2 - r_i^2 }  \cdot  \left( 1 + \dfrac{ r_i^2 }{  r^2 } \right) \)
Symbol English Metric
\( \sigma_h \)  (Greek symbol sigma) = Spherical Hoop Stress \(lbf\;/\;in^2\) \(Pa\)
\( p_e \) = External pressure \(lbf\;/\;in^2\) \(Pa\)
\( r_e \) = External Radius \(in\) \(mm\)
\( r_i \) = Internal Radius \(in\) \(mm\)
\( r \) = Radius to Point of Intrest \(in\) \(mm\)

 

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