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

Written by Jerry Ratzlaff on . Posted in Pressure Vessel

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

\(\large{ \sigma_s = \frac{ - p_e \; r_e^2 }{ r_e^2 \;-\; r_i^2 }  \; \left( 1 \;+\; \frac{ r_i^2}{r^2} \right) }\)   

pv cylindrical hoop stress 2Where:

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

\(\large{ t }\)  (Greek symbol sigma) = wall thickness

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

\(\large{ r }\) = radius to point of intrest

\(\large{ r_e }\) = external radius

\(\large{ r_i }\) = internal radius

 

Tags: Equations for Strain and Stress Equations for Pressure Vessels