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

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Hoop Stress

Hoop stress is the circumferential and perpendicular stress to the axis imposed on a cylinder wall when exposed to an internal pressure load.

 

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

\(\large{ \sigma_h = \frac{ p_i \; r_i^2 \;-\; p_e \; r_e^2 \;-\; r_i \; r_e^2 \; \left( \frac{p_e \;-\; p_i}{r^2} \right) }{ r_e^2 \;-\;r_i^2 } }\)

Where:

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

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

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

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

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

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

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