Longitudinal Stress Thin-wall Section

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pv cylindrical hoop stress 2

Longitudinal Stress Thin-wall Section Formula

\( \sigma_l \;=\;   \dfrac{ p \cdot r }{ 2 \cdot t }\)     (Longitudinal Stress Thin-wall Section)

\( p \;=\;  \dfrac{ \sigma_l \cdot 2 \cdot t }{ r }\)

\( t \;=\;  \dfrac{ p \cdot r }{ \sigma_l \cdot 2 }\)

\( r \;=\;  \dfrac{ \sigma_l \cdot 2 \cdot t }{ p }\)

Symbol English Metric
\( \sigma_l \)  (Greek symbol sigma) = longitudinal stress \(lbf\;/\;in^2\)  \( Pa \)
\( p \) = internal pressure \(lbf\;/\;in^2\)  \( Pa \)
\( r \) = radius to point of intrest \( in \) \( mm \)
\( t \)  (Greek symbol sigma) = wall thickness \( in \) \( mm \)

 

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Tags: Strain and Stress Pressure Vessel