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### Axial Stress Thick Wall Cylinder Equations and Calculator

Pressure Vessel Design Formula and Calculators Resources

**Axial Stress Thick Wall Cylinder Equations and Calculator**

If the pressure (*p _{i}*) is confined at the ends, an axial (longitudinal) stress (

*σ*) is also developed. It is assumed that the external pressure

_{a}*p*is zero. The geometry and stresses, including the tangential stress (

_{o}*σ*), are shown in Figure 1

_{t}

Figure 1

Geometry of a cylinder

Preview: Thick Walled Cylinder Axial Stress Calculator

Using the geometry of figure 1 axial stress (*σ _{a}*) is given by:

Axial Stress Formula:

*σ _{t} = ( p_{i}r^{2}_{i} ) / ( r^{2}_{o} - r^{2}_{i} ) *

*p _{i}* = internal pressure (psi, MPa),

r

_{i}= inside radius (in, m),

*r*= external radius (in, m)

_{o}Related:

- Thick Walled Cylinder Stress Pressure Vessel Equations and Calculator
- Pressure Vessel External Pressure Calculations
- Pressure Vessel, Thin Wall Longitudinal Stress Calculator
- Pressure Vessel, Thin Wall Hoop and Longitudinal Stresses Equation and Calculator
- Pressure Vessel Design Calculations Handbook
- Identifying and Reducing Stresses in Pressure Vessels

Source:

Marks' Calculations for Machine Design,

Thomas H. Brown, Jr. Ph.D., PE

Faculty Associate

Institute for Transportation Research and Education

NC State University

Raleigh, North Carolina