Stress in Circumferential Direction - Hoop Stress
`theta_c = (( p_i * r_i ^2)-( p_o * r_o ^2))/(( r_o ^2)-( r_i ^2))-(( r_i ^2)*( r_o ^2)*( p_o - p_i ))/(( r ^2)*( r_o ^2- r_i ^2))`
`"internal pressure in the tube or cylinder (MPa, psi)"` | ||
`"internal radius of tube or cylinder (mm, in)"` | ||
`"external pressure in the tube or cylinder (MPa, psi)"` | ||
`"external radius of tube or cylinder (mm, in)"` | ||
`"radius to point in tube or cylinder wall (mm, in)"` | ||
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UUID | 69d2cf4b-0f47-11e4-b7aa-bc764e2038f2 |
The stress in circumferential direction - hoop stress - at a point in the tube or cylinder wall can be expressed as:
σc = [(pi ri2 - po ro2) / (ro2 - ri2)] - [ri2 ro2 (po - pi) / (r2 (ro2 - ri2))]
where
- σc = stress in circumferential direction (MPa, psi)
- r = radius to point in tube or cylinder wall (mm, in) (ri < r < ro) maximum stress when r = ri (inside pipe or cylinder)
- pi = internal pressure in the tube or cylinder (MPa, psi)
- ri = internal radius of tube or cylinder (mm, in)
- po = external pressure in the tube or cylinder (MPa, psi)
- ro=external radius of tube or cylinder (mm, in)
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