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`sigma_"a" = "P" * r_i ^2 / ( r_o ^2 - r_i ^2)`

Enter a value for all fields

The **Axial Stress on a Cylinder **calculator compute the axial stress (σ_{a}) on the outer wall end caps of a closed cylindrical pressure vessel.^{1} This equation assumes the inside pressure P_{o} = 0.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**P**) Pressure Outside of Closed Cylinder - (
**r**) Outer Radius of Cylinder_{o} - (
**r**) Inner Radius of Cylinder_{i}

**Axial Stress on a Cylinder (σ _{a}):** The calculator returns the stress in newtons per square centimeter. However, this can be automatically converted to compatible units via the pull-down menu.

The formula for the Axial Stress on a Cylinder is:

σ_{a} = P • (r_{i}²) / (r_{o}² - r_{i}²)

where:

- σ
_{a}is the axial stress on a cylinder - r
_{i}is the inner radius of the cylinder - r
_{o}is the outer radius of the cylinder

- Stress (Radial) in Cylinder
- Stress (Tangential) in Cylinder
- Stress (Radial) out Cylinder
- Stress (Tangential) out Cylinder
- Stress

- ^ Fundamentals of Engineering. 8th edition, 2nd Revision. National Council of Examiners for Engineering and Surveying (NCEES) - 2001. ISBN 978-1-932613-59-9. pg 33

**Lateral Surface Area (sides) of a Cylinder**based on height and radius.**Total Surface Area of a Cylinder**including the sides, top and bottom.**Volume of a Cylinder**based on cylinder height and radius**Cylinder Volume from Height and Circumference****Height of a Cylinder**based on the volume and radius.**Radius of a Cylinder**based on the volume and height.**Mass or Weight of a Cylinder**based on the volume and mean density of the cylinder.**Density of a cylinder**.**Lateral Surface Area of a Slanted Cylinder**.**Volume of a Slanted Cylinder**.**Weight or Mass of a Slanted Cylinder**.- Moment of Inertia of a cylinder shaped object based around the central axis
- Moment of Inertia of a cylinder shaped object around the end of the cylinder
- Moment of Inertia of a cylinder shaped object perpendicular to the central axis.
- Mean Density of Common substances (useful in calculating the mass/weight and the moments of inertia)
- Axial Stress on a Cylinder
- Tangential Stress in a Cylinder
- Tangential Stress outside a Cylinder