Radial Stress Thick-walled Section (Internal & External Pressure)

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Tags: Hoop Stress    

 

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

\(\large{ \sigma_r = \frac{ p_i \; r_i^2 \;-\; p_e \; r_e^2 \;+\; r_i \; r_e^2 \; \left( \frac{p_e \;-\; p_i}{r^2} \right) }{ r_e^2 \;-\;r_i^2 } }\)
Symbol English Metric
\(\large{ \sigma_r }\)  (Greek symbol sigma) = radius stress \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ p_e }\) = external pressure \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ p_i }\) = internal pressure \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ r }\) = radius to point of intrest \(\large{ in }\) \(\large{ mm }\)
\(\large{ r_e }\) = external radius \(\large{ in }\) \(\large{ mm }\)
\(\large{ r_i }\) = internal radius \(\large{ in }\) \(\large{ mm }\)

 

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Tags: Hoop Stress