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`sigma_"t_ext" = - "P" *( r_"(outer)" ^2 + r_"(inner)" ^2) / ( r_"(outer)" ^2 - r_"(inner)" ^2)`

Enter a value for all fields

The **Stress (Tangential) out Cylinder** calculator computes the tangential stress on the outer wall of a closed cylindrical vessel.

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

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

**Stress (Tangential) out Cylinder (σ _{ext}): **The results are returned in units of Newtons per meter squared.. However, these can be automatically converted to compatible units via the pull-down menu.

This equation for stress computes the tangential stress (`sigma_t`) on the outer wall of a closed cylindrical pressure vessel.^{1} The tangential stress is also sometimes called the "hoop stress" as it is the surface wall stress all the way around the circumference of the cylinder. The pressure inside the vessel for this equation is assumed to **P _{i} = 0**.

The Tangential Stress outside a Cylinder calculator computes the tangential stress on the inner wall of a closed cylindrical pressure vessel.^{1} The tangential stress is also sometimes called the "hoop stress" as it is the surface wall stress all the way around the cylinder. The formula for the Tangential Stress in a Cylinder is:

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

where:

- σ
_{ext}= Tangential Stress in a Cylinder **P**= the pressure outside the closed cylinder- r
_{o} - r
_{i}= inner radius of the cylinder

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

**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

- ^ 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