Thickness of thin spherical shell given hoop stress induced 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 Cylinderical Vessel is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinderical Vessel [D_i]			+10% -10%
✖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 spherical shell given hoop stress induced [t]

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Formula

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Thickness of thin spherical shell given hoop stress induced

Formula

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

Example

`"0.026468mm"=(("0.053MPa"*"50mm")/(4*"25.03MPa"))`

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Thickness of thin spherical shell given hoop stress induced Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Internal Pressure: 0.053 Megapascal --> 53000 Pascal (Check conversion here)
Inner Diameter of Cylinderical Vessel: 50 Millimeter --> 0.05 Meter (Check conversion here)
Hoop Stress in Thin shell: 25.03 Megapascal --> 25030000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = ((P_i*D_i)/(4*σ_θ)) --> ((53000*0.05)/(4*25030000))

Evaluating ... ...

t = 2.64682381142629E-05

STEP 3: Convert Result to Output's Unit

2.64682381142629E-05 Meter -->0.0264682381142629 Millimeter (Check conversion here)

FINAL ANSWER

0.0264682381142629 ≈ 0.026468 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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< 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))

Thickness of thin spherical shell given hoop stress induced Formula

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

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 Thickness of thin spherical shell given hoop stress induced?

Thickness of thin spherical shell given hoop stress induced calculator uses Thickness Of Thin Shell = ((Internal Pressure*Inner Diameter of Cylinderical Vessel)/(4*Hoop Stress in Thin shell)) to calculate the Thickness Of Thin Shell, The Thickness of thin spherical shell given hoop stress induced formula is defined as 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 thin spherical shell given hoop stress induced using this online calculator? To use this online calculator for Thickness of thin spherical shell given hoop stress induced, enter Internal Pressure (P_i), Inner Diameter of Cylinderical Vessel (D_i) & Hoop Stress in Thin shell (σ_θ) and hit the calculate button. Here is how the Thickness of thin spherical shell given hoop stress induced calculation can be explained with given input values -> 22.84483 = ((53000*0.05)/(4*25030000)).

FAQ

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

The Thickness of thin spherical shell given hoop stress induced formula is defined as the distance through an object, as distinct from width or height and is represented as t = ((P_i*D_i)/(4*σ_θ)) or Thickness Of Thin Shell = ((Internal Pressure*Inner Diameter of Cylinderical Vessel)/(4*Hoop Stress in 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 Cylinderical Vessel is the diameter of the inside of the cylinder & Hoop Stress in Thin shell is the circumferential stress in a cylinder.

How to calculate Thickness of thin spherical shell given hoop stress induced?

The Thickness of thin spherical shell given hoop stress induced formula is defined as the distance through an object, as distinct from width or height is calculated using Thickness Of Thin Shell = ((Internal Pressure*Inner Diameter of Cylinderical Vessel)/(4*Hoop Stress in Thin shell)). To calculate Thickness of thin spherical shell given hoop stress induced, you need Internal Pressure (P_i), Inner Diameter of Cylinderical Vessel (D_i) & Hoop Stress in Thin shell (σ_θ). With our tool, you need to enter the respective value for Internal Pressure, Inner Diameter of Cylinderical Vessel & Hoop Stress in Thin shell 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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