Compressive radial strain given Poisson's ratio for thick spherical shell Calculator

✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+10% -10%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+10% -10%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%
✖Adjusted design value for compression corrects the design value by using some factor.ⓘ Adjusted design value [F'_c]			+10% -10%

✖The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.ⓘ Compressive radial strain given Poisson's ratio for thick spherical shell [ε_compressive]

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Compressive radial strain given Poisson's ratio for thick spherical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value
ε_compressive = (P_v+(2*σ_θ*𝛎))/F'_c
This formula uses 5 Variables

Variables Used

Compressive Strain - The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
Adjusted design value - (Measured in Pascal) - Adjusted design value for compression corrects the design value by using some factor.

STEP 1: Convert Input(s) to Base Unit

Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Adjusted design value: 10 Megapascal --> 10000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_compressive = (P_v+(2*σ_θ*𝛎))/F'_c --> (14000+(2*2000*0.3))/10000000

Evaluating ... ...

ε_compressive = 0.00152

STEP 3: Convert Result to Output's Unit

0.00152 --> No Conversion Required

FINAL ANSWER

0.00152 <-- Compressive Strain

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Thick Spherical Shells Calculators

Mass of thick spherical shell given compressive radial strain

LaTeX Go Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)

Hoop stress on thick spherical shell given compressive radial strain

LaTeX Go Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)*Mass Of Shell/2

Radial pressure on thick spherical shell given compressive radial strain

LaTeX Go Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell)

Compressive radial strain for thick spherical shells

LaTeX Go Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value

Compressive radial strain given Poisson's ratio for thick spherical shell Formula

LaTeX Go

Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value
ε_compressive = (P_v+(2*σ_θ*𝛎))/F'_c

What is meant by hoop stress?

The hoop stress is the force over the area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall.

How to Calculate Compressive radial strain given Poisson's ratio for thick spherical shell?

Compressive radial strain given Poisson's ratio for thick spherical shell calculator uses Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value to calculate the Compressive Strain, Compressive radial strain given Poisson's ratio for thick spherical shell formula is defined as a relationship that describes how a thick spherical shell deforms under pressure, taking into account the material's Poisson's ratio and the stresses acting on the shell. It is essential for understanding structural integrity. Compressive Strain is denoted by ε_compressive symbol.

How to calculate Compressive radial strain given Poisson's ratio for thick spherical shell using this online calculator? To use this online calculator for Compressive radial strain given Poisson's ratio for thick spherical shell, enter Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎) & Adjusted design value (F'_c) and hit the calculate button. Here is how the Compressive radial strain given Poisson's ratio for thick spherical shell calculation can be explained with given input values -> 0.00152 = (14000+(2*2000*0.3))/10000000.

FAQ

What is Compressive radial strain given Poisson's ratio for thick spherical shell?

Compressive radial strain given Poisson's ratio for thick spherical shell formula is defined as a relationship that describes how a thick spherical shell deforms under pressure, taking into account the material's Poisson's ratio and the stresses acting on the shell. It is essential for understanding structural integrity and is represented as ε_compressive = (P_v+(2*σ_θ*𝛎))/F'_c or Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value. Radial Pressure is pressure towards or away from the central axis of a component, Hoop Stress on thick shell is the circumferential stress in a cylinder, Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5 & Adjusted design value for compression corrects the design value by using some factor.

How to calculate Compressive radial strain given Poisson's ratio for thick spherical shell?

Compressive radial strain given Poisson's ratio for thick spherical shell formula is defined as a relationship that describes how a thick spherical shell deforms under pressure, taking into account the material's Poisson's ratio and the stresses acting on the shell. It is essential for understanding structural integrity is calculated using Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value. To calculate Compressive radial strain given Poisson's ratio for thick spherical shell, you need Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎) & Adjusted design value (F'_c). With our tool, you need to enter the respective value for Radial Pressure, Hoop Stress on thick shell, Poisson's Ratio & Adjusted design value 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 Compressive Strain?

In this formula, Compressive Strain uses Radial Pressure, Hoop Stress on thick shell, Poisson's Ratio & Adjusted design value. We can use 1 other way(s) to calculate the same, which is/are as follows -

Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value

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