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Thick Walled Cylinder Stress Calculator

- Summary
- Thick Wall Cylindrical Hoop Stress Calculator
- Thick Wall Cylindrical Radial Stress Calculator
- Thick Wall Cylindrical Axial Stress Calculator

Three of the primary mechanical stresses (not to be confused with ‘principle stresses’) that can be applied to a cylindrically shaped object are:

- Hoop Stress
- Radial Stress
- Axial Stress

If the object/vessel has walls with a thickness greater than one-tenth of the overall diameter, then these objects can be assumed to be ‘thick-walled’. The general equations to calculate the stresses are:

- Hoop Stress,
(1)

- Radial Stress,
(2)

From a thick-walled cylinder, we get the boundary conditions:

at and at

Applying these boundary conditions to the above simultaneous equations gives us the following equations for the constants A & B:

(3)

(4)

Finally, solving the general equations with A & B gives Lamé’s equations:

- Hoop Stress,
(5)

- Radial Stress,
(6)

The axial stress for a closed-ended cylinder is calculated by means of the equilibrium, which reduces to:

- Axial Stress,
(7)

Thick Wall Cylinder Hoop Stress Calculator

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