Tensile 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%

✖Tensile Strain is the ratio of change in length to original length.ⓘ Tensile radial strain given Poisson's ratio for thick spherical shell [ε_tensile]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Tensile Strain - Tensile Strain is the ratio of change in length to original length.
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_tensile = ((P_v+(2*σ_θ*𝛎))/F'_c) --> ((14000+(2*2000*0.3))/10000000)

Evaluating ... ...

ε_tensile = 0.00152

STEP 3: Convert Result to Output's Unit

0.00152 --> No Conversion Required

FINAL ANSWER

0.00152 <-- Tensile Strain

(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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< 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

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

LaTeX Go

Tensile Strain = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value)
ε_tensile = ((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 Tensile radial strain given Poisson's ratio for thick spherical shell?

Tensile radial strain given Poisson's ratio for thick spherical shell calculator uses Tensile Strain = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value) to calculate the Tensile Strain, Tensile 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 internal pressure, incorporating the effects of radial and circumferential stresses along with Poisson's ratio to understand material behavior under load. Tensile Strain is denoted by ε_tensile symbol.

How to calculate Tensile radial strain given Poisson's ratio for thick spherical shell using this online calculator? To use this online calculator for Tensile 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 Tensile 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 Tensile radial strain given Poisson's ratio for thick spherical shell?

Tensile 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 internal pressure, incorporating the effects of radial and circumferential stresses along with Poisson's ratio to understand material behavior under load and is represented as ε_tensile = ((P_v+(2*σ_θ*𝛎))/F'_c) or Tensile 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 Tensile radial strain given Poisson's ratio for thick spherical shell?

Tensile 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 internal pressure, incorporating the effects of radial and circumferential stresses along with Poisson's ratio to understand material behavior under load is calculated using Tensile Strain = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value). To calculate Tensile 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 Tensile Strain?

In this formula, Tensile 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 -

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

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