Internal diameter of vessel given hoop stress Calculator

✖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 Thin Shell [t]			+10% -10%
✖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.ⓘ Internal diameter of vessel given hoop stress [D_i]

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Formula

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Internal diameter of vessel given hoop stress

Formula

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

Example

`"0.356604mm"=("18N/m²"*(2*"525mm"))/("0.053MPa")`

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Internal diameter of vessel given hoop stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress: 18 Newton per Square Meter --> 18 Pascal (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Internal Pressure: 0.053 Megapascal --> 53000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_i = (σ_θ*(2*t))/(P_i) --> (18*(2*0.525))/(53000)

Evaluating ... ...

D_i = 0.000356603773584906

STEP 3: Convert Result to Output's Unit

0.000356603773584906 Meter -->0.356603773584906 Millimeter (Check conversion here)

FINAL ANSWER

0.356603773584906 ≈ 0.356604 Millimeter <-- Inner Diameter of Cylinder

(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)

Internal diameter of vessel given hoop stress Formula

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

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 Internal diameter of vessel given hoop stress?

Internal diameter of vessel given hoop stress calculator uses Inner Diameter of Cylinder = (Hoop Stress*(2*Thickness Of Thin Shell))/(Internal Pressure) to calculate the Inner Diameter of Cylinder, Internal diameter of vessel given hoop stress is a chord that runs through the center point of the circle. Inner Diameter of Cylinder is denoted by D_i symbol.

How to calculate Internal diameter of vessel given hoop stress using this online calculator? To use this online calculator for Internal diameter of vessel given hoop stress, enter Hoop Stress (σ_θ), Thickness Of Thin Shell (t) & Internal Pressure (P_i) and hit the calculate button. Here is how the Internal diameter of vessel given hoop stress calculation can be explained with given input values -> 815.0943 = (18*(2*0.525))/(53000).

FAQ

What is Internal diameter of vessel given hoop stress?

Internal diameter of vessel given hoop stress is a chord that runs through the center point of the circle and is represented as D_i = (σ_θ*(2*t))/(P_i) or Inner Diameter of Cylinder = (Hoop Stress*(2*Thickness Of Thin Shell))/(Internal Pressure). Hoop Stress is the circumferential stress in a cylinder, Thickness Of Thin Shell is the distance through an object & Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.

How to calculate Internal diameter of vessel given hoop stress?

Internal diameter of vessel given hoop stress is a chord that runs through the center point of the circle is calculated using Inner Diameter of Cylinder = (Hoop Stress*(2*Thickness Of Thin Shell))/(Internal Pressure). To calculate Internal diameter of vessel given hoop stress, you need Hoop Stress (σ_θ), Thickness Of Thin Shell (t) & Internal Pressure (P_i). With our tool, you need to enter the respective value for Hoop Stress, Thickness Of Thin Shell & Internal Pressure 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 Inner Diameter of Cylinder?

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

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

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