Hoop stress Calculator

✖Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.ⓘ Internal Pressure [P_i]			+10% -10%
✖Inner Diameter of Cylinder is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinder [D_i]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%

✖Hoop Stress is the circumferential stress in a cylinder.ⓘ Hoop stress [σ_θ]

⎘ Copy

👎

Formula

✖

Hoop stress

Formula

`"σ"_{"θ"} = ("P"_{"i"}*"D"_{"i"})/(2*"t")`

Example

`"2523.81N/m²"=("0.053MPa"*"50mm")/(2*"525mm")`

Calculator

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Hoop stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hoop Stress = (Internal Pressure*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell)
σ_θ = (P_i*D_i)/(2*t)
This formula uses 4 Variables

Variables Used

Hoop Stress - (Measured in Pascal) - Hoop Stress is the circumferential stress in a cylinder.
Internal Pressure - (Measured in Pascal) - Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.

STEP 1: Convert Input(s) to Base Unit

Internal Pressure: 0.053 Megapascal --> 53000 Pascal (Check conversion here)
Inner Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = (P_i*D_i)/(2*t) --> (53000*0.05)/(2*0.525)

Evaluating ... ...

σ_θ = 2523.80952380952

STEP 3: Convert Result to Output's Unit

2523.80952380952 Pascal -->2523.80952380952 Newton per Square Meter (Check conversion here)

FINAL ANSWER

2523.80952380952 ≈ 2523.81 Newton per Square Meter <-- Hoop Stress

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Hoop Stress » Hoop stress

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 12 Hoop Stress Calculators

Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel

Go Inner Diameter of Cylinder = Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell)

Internal pressure of fluid given Force due to fluid pressure in thin cylindrical vessel

Go Internal Pressure = Force on cylindrical shell/(Inner Diameter of Cylinder*Length Of Cylindrical Shell)

Length of vessel given Force due to fluid pressure in thin cylindrical vessel

Go Length Of Cylindrical Shell = Force on cylindrical shell/(Internal Pressure*Inner Diameter of Cylinder)

Force due to fluid pressure in thin cylindrical vessel

Go Force on cylindrical shell = (Internal Pressure*Inner Diameter of Cylinder*Length Of Cylindrical Shell)

Length of vessel in given force due to circumferential stress in thin cylindrical vessel

Go Length Of Cylindrical Shell = Force on cylindrical shell/(2*Hoop Stress*Thickness Of Thin Shell)

Vessel thickness given force due to circumferential stress in thin cylindrical vessel

Go Thickness Of Thin Shell = Force on cylindrical shell/(2*Hoop Stress*Length Of Cylindrical Shell)

Hoop stress given force due to circumferential stress in thin cylindrical vessel

Go Hoop Stress = Force on cylindrical shell/(2*Length Of Cylindrical Shell*Thickness Of Thin Shell)

Force due to circumferential stress in thin cylindrical vessel

Go Force on cylindrical shell = (2*Hoop Stress*Length Of Cylindrical Shell*Thickness Of Thin Shell)

Internal pressure of fluid in vessel given hoop stress

Go Internal Pressure = (Hoop Stress*(2*Thickness Of Thin Shell))/(Inner Diameter of Cylinder)

Internal diameter of vessel given hoop stress

Go Inner Diameter of Cylinder = (Hoop Stress*(2*Thickness Of Thin Shell))/(Internal Pressure)

Thickness of vessel given hoop stress

Go Thickness Of Thin Shell = (Internal Pressure*Inner Diameter of Cylinder)/(2*Hoop Stress)

Hoop stress

Go Hoop Stress = (Internal Pressure*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell)

Hoop stress Formula

Hoop Stress = (Internal Pressure*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell)
σ_θ = (P_i*D_i)/(2*t)

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Hoop stress?

Hoop stress calculator uses Hoop Stress = (Internal Pressure*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell) to calculate the Hoop Stress, The Hoop stress formula is defined as the stress around the circumference of the pipe due to a pressure gradient. Hoop Stress is denoted by σ_θ symbol.

How to calculate Hoop stress using this online calculator? To use this online calculator for Hoop stress, enter Internal Pressure (P_i), Inner Diameter of Cylinder (D_i) & Thickness Of Thin Shell (t) and hit the calculate button. Here is how the Hoop stress calculation can be explained with given input values -> 1104.167 = (53000*0.05)/(2*0.525).

FAQ

What is Hoop stress?

The Hoop stress formula is defined as the stress around the circumference of the pipe due to a pressure gradient and is represented as σ_θ = (P_i*D_i)/(2*t) or Hoop Stress = (Internal Pressure*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell). Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature, Inner Diameter of Cylinder is the diameter of the inside of the cylinder & Thickness Of Thin Shell is the distance through an object.

How to calculate Hoop stress?

The Hoop stress formula is defined as the stress around the circumference of the pipe due to a pressure gradient is calculated using Hoop Stress = (Internal Pressure*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell). To calculate Hoop stress, you need Internal Pressure (P_i), Inner Diameter of Cylinder (D_i) & Thickness Of Thin Shell (t). With our tool, you need to enter the respective value for Internal Pressure, Inner Diameter of Cylinder & Thickness Of Thin Shell and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hoop Stress?

In this formula, Hoop Stress uses Internal Pressure, Inner Diameter of Cylinder & Thickness Of Thin Shell. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hoop Stress = Force on cylindrical shell/(2*Length Of Cylindrical Shell*Thickness Of Thin Shell)

Home

FREE PDFs

🔍 Search