Diameter of thin spherical shell given hoop stress induced Calculator

✖Hoop Stress in Thin shell is the circumferential stress in a cylinder.ⓘ Hoop Stress in Thin shell [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 Cylinderical Vessel is the diameter of the inside of the cylinder.ⓘ Diameter of thin spherical shell given hoop stress induced [D_i]

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Formula

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Diameter of thin spherical shell given hoop stress induced

Formula

`"D"_{"i"} = ("σ"_{"θ"}*(4*"t"))/("P"_{"i"})`

Example

`"991754.7mm"=("25.03MPa"*(4*"525mm"))/("0.053MPa")`

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Diameter of thin spherical shell given hoop stress induced Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Inner Diameter of Cylinderical Vessel - (Measured in Meter) - Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder.
Hoop Stress in Thin shell - (Measured in Pascal) - Hoop Stress in Thin shell 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 in Thin shell: 25.03 Megapascal --> 25030000 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*(4*t))/(P_i) --> (25030000*(4*0.525))/(53000)

Evaluating ... ...

D_i = 991.754716981132

STEP 3: Convert Result to Output's Unit

991.754716981132 Meter -->991754.716981132 Millimeter (Check conversion here)

FINAL ANSWER

991754.716981132 ≈ 991754.7 Millimeter <-- Inner Diameter of Cylinderical Vessel

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 4 Thin Spherical Shells Calculators

Internal fluid pressure on thin spherical shell given Hoop stress induced

Go Internal Pressure = (Hoop Stress in Thin shell*(4*Thickness Of Thin Shell))/(Inner Diameter of Cylinderical Vessel)

Thickness of thin spherical shell given hoop stress induced

Go Thickness Of Thin Shell = ((Internal Pressure*Inner Diameter of Cylinderical Vessel)/(4*Hoop Stress in Thin shell))

Diameter of thin spherical shell given hoop stress induced

Go Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*(4*Thickness Of Thin Shell))/(Internal Pressure)

Hoop stress-induced in material of thin spherical shell

Go Hoop Stress in Thin shell = ((Internal Pressure*Inner Diameter of Cylinderical Vessel)/(4*Thickness Of Thin Shell))

Diameter of thin spherical shell given hoop stress induced Formula

Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*(4*Thickness Of Thin Shell))/(Internal Pressure)
D_i = (σ_θ*(4*t))/(P_i)

What causes internal pressure?

When the volume of a fluid increases, the average distance between molecules increases, and the potential energy due to intermolecular forces changes. At constant temperature, the thermal energy is constant so that the internal pressure is the rate at which just the potential energy changes with volume.

How to Calculate Diameter of thin spherical shell given hoop stress induced?

Diameter of thin spherical shell given hoop stress induced calculator uses Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*(4*Thickness Of Thin Shell))/(Internal Pressure) to calculate the Inner Diameter of Cylinderical Vessel, Diameter of thin spherical shell given hoop stress induced is a chord that runs through the circle's center point. It is the longest possible chord of any circle. Inner Diameter of Cylinderical Vessel is denoted by D_i symbol.

How to calculate Diameter of thin spherical shell given hoop stress induced using this online calculator? To use this online calculator for Diameter of thin spherical shell given hoop stress induced, enter Hoop Stress in Thin shell (σ_θ), Thickness Of Thin Shell (t) & Internal Pressure (P_i) and hit the calculate button. Here is how the Diameter of thin spherical shell given hoop stress induced calculation can be explained with given input values -> 1.1E+9 = (25030000*(4*0.525))/(53000).

FAQ

What is Diameter of thin spherical shell given hoop stress induced?

Diameter of thin spherical shell given hoop stress induced is a chord that runs through the circle's center point. It is the longest possible chord of any circle and is represented as D_i = (σ_θ*(4*t))/(P_i) or Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*(4*Thickness Of Thin Shell))/(Internal Pressure). Hoop Stress in Thin shell 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 Diameter of thin spherical shell given hoop stress induced?

Diameter of thin spherical shell given hoop stress induced is a chord that runs through the circle's center point. It is the longest possible chord of any circle is calculated using Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*(4*Thickness Of Thin Shell))/(Internal Pressure). To calculate Diameter of thin spherical shell given hoop stress induced, you need Hoop Stress in Thin shell (σ_θ), Thickness Of Thin Shell (t) & Internal Pressure (P_i). With our tool, you need to enter the respective value for Hoop Stress in Thin shell, 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.

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