# Longitudinal Hoop Stress Thin-wall Section

on . Posted in Pressure Vessel ## 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 $$\large{ in }$$ $$\large{ mm }$$ 