Longitudinal Hoop Stress Thin-wall Section

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pv longitudinal stress 2

Longitudinal Hoop Stress Thin-wall Section Formula

\(\large{ \sigma_h = \frac{ p \; r }{ 2 \; t } }\) 

Longitudinal Hoop Stress Thin-wall Section - Solve for σh

\(\large{ \sigma_h = \frac{ p \; r }{ 2 \; t } }\) 

pressure, p
radius, r
wall thickness, t

Longitudinal Hoop Stress Thin-wall Section - Solve for p

\(\large{ p = \frac{ \sigma_h \; 2 \; t }{ r } }\) 

spherical hoop stress, σh
wall thickness, t
radius, r

Longitudinal Hoop Stress Thin-wall Section - Solve for r

\(\large{ r = \frac{ \sigma_h \; 2 \; t }{ p } }\) 

spherical hoop stress, σh
wall thickness, t
pressure, p

Longitudinal Hoop Stress Thin-wall Section - Solve for t

\(\large{ t = \frac{ p \; r }{ \sigma_h \; 2 } }\) 

pressure, p
radius, r
spherical hoop stress, σh

 Symbol English Metric
\(\large{ \sigma_h }\)  (Greek symbol sigma) = spherical hoop stress \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ p }\) = pressure under consideration \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ r }\) = radius to point of intrest \(\large{ in }\) \(\large{ mm }\)
\(\large{ t }\) = wall thickness \(\large{ in }\) \(\large{ mm }\)

 

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Tags: Hoop Stress Equations