# Cylinder stress (hoop stress)

## Description

In mechanics, a cylinder stress is a stress distribution with rotational symmetry; that is, which remains unchanged if the stressed object is rotated about some fixed axis. Circumferential stress or hoop stress, a normal stress in the tangential (azimuth) direction, is the force exerted circumferentially (perpendicular both to the axis and to the radius of the object) in both directions on every particle in the cylinder wall.

Related formulas## Variables

σ_θ | Hoop stress (Pa) |

F | Force exerted circumferentially on an area of the cylinder wal (N) |

t | Radial thickness of the cylinder (m) |

l | Axial length of the cylinder (m) |