Cylinder Hoop Stress

Written by Jerry Ratzlaff 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

\(\large{ \sigma = \frac{ D }{ 2 \; t } \; \left( p_i \;-\; p_e  \right)  }\) (thin wall pipe)
\(\large{ \sigma = \frac{ p_i \; d }{ 2 \; t }  }\)  

Where:

\(\large{ \sigma }\) (Greek symbol sigma) = hoop stress

\(\large{ p_o }\) = external pressure

\(\large{ p_i }\) = internal pressure

\(\large{ d }\) = cylinder inside diameter

\(\large{ D }\) = cylinder outside diameter

\(\large{ t }\) = wall thickness

 

Tags: Equations for Strain and Stress