# 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)

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

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

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

### Solve for σh

 pressure, p radius, r wall thickness, t

### Solve for p

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

### Solve for r

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

### Solve for t

 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 $$\large{ in }$$ $$\large{ mm }$$

Tags: Hoop Stress