`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_o) Outer Radius of Cylinder
• (r_i) Inner Radius of Cylinder

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 Math / Science

The formula for the Axial Stress on a Cylinder is:

     σ_a = P • (r_i²) / (r_o²  -  r_i²)

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

Cylinder Stress Calculators

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

1. ^ 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

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Cylinder Calculators

1. Cylinder Side Area: Computes the surface area of the sides of a cylinder based on height and radius.
2. Cylinder Surface Area: Computes the total surface area of a cylinder including sides, top and bottom.
3. Cylinder Volume: Computes the volume of a cylinder based on cylinder height and radius.
4. Cylinder Volume from Height and Circumference: Computes the volume of a cylinder based on the height and circumference.  It also returns the diameter of the cylinder. 
5. Cylinder Height: Computes the height of a cylinder based on the volume and radius. 
6. Cylinder Radius: Computes the radius and diameter of a cylinder based on the volume and height.
7. Cylinder Weight: Computes the weight, mass and volume of a cylinder based on the height, radius and density.
8. Cylinder Mass  Computes the mass of a cylinder based on the radius and height and mean density of the cylinder.  
9. Volume in Horizontal Cylinder: Computes partial volume of a horizontal circular cylinder based on the radius and length of the cylinder and the vertical height of the contents in the cylinder (see diagram).
10. Cylinder Density: Computes the mean density of a cylinder based on the mass and computed volume from the radius and height.
11. Slanted Cylinder Surface Area: Computes the surface area of a slanted cylinder based on the radius and side length (L).
12. Slanted Cylinder Area from Angle: Computes the lateral area (surface area of the sides) of a slanted cylinder based on its radius, height and slant angle (θ).
13. Slanted Cylinder Volume: Computes the volume of a slanted cylinder based on the radius of the base, side length and slant angle.
14. Slanted Cylinder Weight: Computes the weight or mass of a slanted cylinder based on the radius, side length, slant angle and density.
15. Cylinder MoI about Central Axis: Computes the moment of inertia of a cylinder about its central axis based on the mass and radius.
16. Cylinder MoI about the End: Computes the moment of inertia of a solid circular cylinder of uniform density about an axis along the diameter of the cylinder at one end.
17. Cylinder MoI Perpendicular to Axis: Computes the moment of inertia of a solid circular cylinder of uniform density about an axis perpendicular to the axis of the cylinder and through the center of mass.