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

pv spherical hoop stress 2

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

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

 

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