Thickness of vessel given 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%
✖Hoop Stress is the circumferential stress in a cylinder.ⓘ Hoop Stress [σ_θ]			+10% -10%

✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness of vessel given hoop stress [t]

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Formula

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Thickness of vessel given hoop stress

Formula

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

Example

`"73611.11mm"=("0.053MPa"*"50mm")/(2*"18N/m²")`

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Thickness of vessel given hoop stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
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.
Hoop Stress - (Measured in Pascal) - Hoop Stress is the circumferential stress in a cylinder.

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)
Hoop Stress: 18 Newton per Square Meter --> 18 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (P_i*D_i)/(2*σ_θ) --> (53000*0.05)/(2*18)

Evaluating ... ...

t = 73.6111111111111

STEP 3: Convert Result to Output's Unit

73.6111111111111 Meter -->73611.1111111111 Millimeter (Check conversion here)

FINAL ANSWER

73611.1111111111 ≈ 73611.11 Millimeter <-- Thickness Of Thin Shell

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 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)

Thickness of vessel given hoop stress Formula

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

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 Thickness of vessel given hoop stress?

Thickness of vessel given hoop stress calculator uses Thickness Of Thin Shell = (Internal Pressure*Inner Diameter of Cylinder)/(2*Hoop Stress) to calculate the Thickness Of Thin Shell, Thickness of vessel given hoop stress is the thickness of a cylindrical vessel, the distance through an object, as distinct from width or height. Thickness Of Thin Shell is denoted by t symbol.

How to calculate Thickness of vessel given hoop stress using this online calculator? To use this online calculator for Thickness of vessel given hoop stress, enter Internal Pressure (P_i), Inner Diameter of Cylinder (D_i) & Hoop Stress (σ_θ) and hit the calculate button. Here is how the Thickness of vessel given hoop stress calculation can be explained with given input values -> 7.4E+7 = (53000*0.05)/(2*18).

FAQ

What is Thickness of vessel given hoop stress?

Thickness of vessel given hoop stress is the thickness of a cylindrical vessel, the distance through an object, as distinct from width or height and is represented as t = (P_i*D_i)/(2*σ_θ) or Thickness Of Thin Shell = (Internal Pressure*Inner Diameter of Cylinder)/(2*Hoop Stress). 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 & Hoop Stress is the circumferential stress in a cylinder.

How to calculate Thickness of vessel given hoop stress?

Thickness of vessel given hoop stress is the thickness of a cylindrical vessel, the distance through an object, as distinct from width or height is calculated using Thickness Of Thin Shell = (Internal Pressure*Inner Diameter of Cylinder)/(2*Hoop Stress). To calculate Thickness of vessel given hoop stress, you need Internal Pressure (P_i), Inner Diameter of Cylinder (D_i) & Hoop Stress (σ_θ). With our tool, you need to enter the respective value for Internal Pressure, Inner Diameter of Cylinder & Hoop Stress 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 Thickness Of Thin Shell?

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

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

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