Cylinder Hoop Stress

on . Posted in Classical Mechanics

Cylinder hoop stress, abbreviated as \(\sigma\) (Greek symbol sigma), is the circumference stress in a cylinder of pipe having both ends closed due to internal pressure.

 

Cylinder Hoop Stress formulas

\( \sigma_h \;=\;  ( D \;/\; 2 \; t ) \; ( p_i - p_e )  \)     (Thin Wall Pipe)

\( \sigma \;=\;  p_i \; d \;/\; 2 \; t   \)

 Symbol English Metric
\(\large{ \sigma_h }\)  (Greek symbol sigma) = Hoop Stress \(lbf\;/\;in^2\) \(Pa\)
\(\large{ d }\) = Cylinder Inside Diameter \( in \) \( mm \)
\(\large{ D }\) = Cylinder Outside Diameter \( in \) \( mm \)
\(\large{ p_e }\) = External Pressure \(lbf\;/\;in^2\) \(Pa\)
\(\large{ p_i }\) = Internal Pressure \(lbf\;/\;in^2\) \(Pa\)
\(\large{ t }\) = Wall Thickness \( in \) \( mm \)

 

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Tags: Hoop Stress