EngiRef / Mechanical Engineering Formula
Longitudinal Stress (Thin-Wall Cylinder)
Longitudinal Stress (Thin-Wall Cylinder): Axial stress in thin-walled pressure vessel. A Statics formula in mechanical engineering. Variables σₗ, p, r and t…
Statics
Specification
- Name
- Longitudinal Stress (Thin-Wall Cylinder)
- Discipline
- mechanical
- Category
- Statics
- LaTeX
- \sigma_l = \frac{pr}{2t}
- Description
- Axial stress in thin-walled pressure vessel
- Conditions
- Thin wall assumption (t << r)
- Can solve for
- σₗ, p, r, t
- Tags
- longitudinal, stress, pressure, vessel, cylinder
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| σₗ | Longitudinal Stress | Pa | Pa | psi |
| p | Internal Pressure | Pa | Pa | psi |
| r | Radius | m | m | in |
| t | Wall Thickness | m | m | in |
Common questions
- What is the Longitudinal Stress (Thin-Wall Cylinder) formula?
- Axial stress in thin-walled pressure vessel. It sits under Statics, Mechanical engineering in the EngiRef reference.
- What do the symbols in the Longitudinal Stress (Thin-Wall Cylinder) formula mean?
- In Longitudinal Stress (Thin-Wall Cylinder), σₗ is longitudinal stress in Pa; p is internal pressure in Pa; r is radius in m; t is wall thickness in m.
- When does the Longitudinal Stress (Thin-Wall Cylinder) formula apply?
- Longitudinal Stress (Thin-Wall Cylinder) holds under this condition: Thin wall assumption (t << r).