Hoop stress-induced in material of thin spherical shell 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%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%

✖Hoop Stress in Thin shell is the circumferential stress in a cylinder.ⓘ Hoop stress-induced in material of thin spherical shell [σ_θ]

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Formula

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Hoop stress-induced in material of thin spherical shell

Formula

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

Example

`"0.001262MPa"=(("0.053MPa"*"50mm")/(4*"525mm"))`

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Hoop stress-induced in material of thin spherical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Hoop Stress in Thin shell - (Measured in Pascal) - Hoop Stress in Thin shell 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 Cylinderical Vessel - (Measured in Meter) - Inner Diameter of Cylinderical Vessel 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 Cylinderical Vessel: 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)/(4*t)) --> ((53000*0.05)/(4*0.525))

Evaluating ... ...

σ_θ = 1261.90476190476

STEP 3: Convert Result to Output's Unit

1261.90476190476 Pascal -->0.00126190476190476 Megapascal (Check conversion here)

FINAL ANSWER

0.00126190476190476 ≈ 0.001262 Megapascal <-- Hoop Stress in Thin shell

(Calculation completed in 00.020 seconds)

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Created by Anshika Arya

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))

Hoop stress-induced in material of thin spherical shell Formula

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

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 Hoop stress-induced in material of thin spherical shell?

Hoop stress-induced in material of thin spherical shell calculator uses Hoop Stress in Thin shell = ((Internal Pressure*Inner Diameter of Cylinderical Vessel)/(4*Thickness Of Thin Shell)) to calculate the Hoop Stress in Thin shell, The Hoop stress-induced in material of thin spherical shell is the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body. Hoop Stress in Thin shell is denoted by σ_θ symbol.

How to calculate Hoop stress-induced in material of thin spherical shell using this online calculator? To use this online calculator for Hoop stress-induced in material of thin spherical shell, enter Internal Pressure (P_i), Inner Diameter of Cylinderical Vessel (D_i) & Thickness Of Thin Shell (t) and hit the calculate button. Here is how the Hoop stress-induced in material of thin spherical shell calculation can be explained with given input values -> 1.3E-9 = ((53000*0.05)/(4*0.525)).

FAQ

What is Hoop stress-induced in material of thin spherical shell?

The Hoop stress-induced in material of thin spherical shell is the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body and is represented as σ_θ = ((P_i*D_i)/(4*t)) or Hoop Stress in Thin shell = ((Internal Pressure*Inner Diameter of Cylinderical Vessel)/(4*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 Cylinderical Vessel is the diameter of the inside of the cylinder & Thickness Of Thin Shell is the distance through an object.

How to calculate Hoop stress-induced in material of thin spherical shell?

The Hoop stress-induced in material of thin spherical shell is the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body is calculated using Hoop Stress in Thin shell = ((Internal Pressure*Inner Diameter of Cylinderical Vessel)/(4*Thickness Of Thin Shell)). To calculate Hoop stress-induced in material of thin spherical shell, you need Internal Pressure (P_i), Inner Diameter of Cylinderical Vessel (D_i) & Thickness Of Thin Shell (t). With our tool, you need to enter the respective value for Internal Pressure, Inner Diameter of Cylinderical Vessel & 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.

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