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# Thick Walled Tube Hoop Stress Calculator

Hoop stress is the force exerted circumferentially in both directions on every particle in the cylinder wall. A cylinder is considered to be Thin walled if its radius is larger than 5 times its wall thickness. Thick Wall pipe Hoop Stress is calculated using internal pressure, external pressure, internal radius, external radius, radius to point in tube. Here is an online Thick Walled Tube Hoop Stress Calculator which helps to calculate hoop stress for Thick wall cylinder, pipe or pressure vessel.

## Thick Wall Cylinder, Pipe, Pressure Vessel Hoop Stress

MPa
MPa
mm
mm
mm
MPa

Hoop stress is the force exerted circumferentially in both directions on every particle in the cylinder wall. A cylinder is considered to be Thin walled if its radius is larger than 5 times its wall thickness. Thick Wall pipe Hoop Stress is calculated using internal pressure, external pressure, internal radius, external radius, radius to point in tube. Here is an online Thick Walled Tube Hoop Stress Calculator which helps to calculate hoop stress for Thick wall cylinder, pipe or pressure vessel.

#### Formula:

Hoop Stress = [((ip x ir2) - (ep x er2)/ (er2) - (ir2)) ]-[ (ir2 x er2 x (ep - ip)) / (r2 x (er2 - ir2))] Where, ip = Internal Pressure ep = External Pressure ir = Internal Radius er = External Radius r = Radius to Point in Tube

### Example

A thick walled cylindrical tube/pipe has an internal pressure of 2 Mpa, internal radius of 7 mm, external pressure of 5 Mpa, external radius of 3 mm and radius to point in tube is 2 mm.

#### Thick Walled Tube Hoop Stress

= [(2 x 72) - (5 x 32) / ((32 - 72)] - [(72 x 32 x (5 - 2)) / (22 x (32 - 72))]
= [(2 x 49) - (5 x 9)]/ ((9 - 49) ]- [(49 x 9 x 3)/ (4 x (9-49))]
= [(98 - 45) / (-40)] - [(1323) / (4 x (-40))]
= [53/(-40)] - [1363/ (-160)]
= (-1.325)-(-8.26875)
= 6.9438Mpa