The Mechanical Engineering Handbook



Hoop Stress

Hoop Stress Equation



$$ {\sigma}_h = \frac{P \cdot r}{t} $$ where:

σh   =   Hoop Stress   (N/m² or Pa)

P   =   Internal Pressure   (N/m² or Pa)

r   =   Internal radius of cylinder   (m)

t   =   Wall thickness   (m)

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Equation Assumptions



  • The wall thickness is much smaller than the internal radius (typically t < r/10).
  • The internal pressure is distributed uniformly.
  • The material of the vessel is homogeneous and isotropic.