Modulus of elasticity given compressive radial strain and Poisson's ratio 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%
✖The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.ⓘ Compressive Strain [ε_compressive]			+10% -10%

✖Adjusted design value for compression corrects the design value by using some factor.ⓘ Modulus of elasticity given compressive radial strain and Poisson's ratio [F'_c]

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Modulus of elasticity given compressive radial strain and Poisson's ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Adjusted design value - (Measured in Pascal) - Adjusted design value for compression corrects the design value by using some factor.
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.
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.

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
Compressive Strain: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F'_c = (P_v+(2*σ_θ*𝛎))/ε_compressive --> (14000+(2*2000*0.3))/0.1

Evaluating ... ...

F'_c = 152000

STEP 3: Convert Result to Output's Unit

152000 Pascal -->0.152 Megapascal (Check conversion here)

FINAL ANSWER

0.152 Megapascal <-- Adjusted design value

(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

Modulus of elasticity given compressive radial strain and Poisson's ratio Formula

LaTeX Go

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

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 Modulus of elasticity given compressive radial strain and Poisson's ratio?

Modulus of elasticity given compressive radial strain and Poisson's ratio calculator uses Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Compressive Strain to calculate the Adjusted design value, Modulus of elasticity given compressive radial strain and Poisson's ratio formula is defined as a measure of a material's ability to deform elastically when a compressive load is applied. It relates the stress and strain in thick spherical shells, providing insights into material behavior under pressure. Adjusted design value is denoted by F'_c symbol.

How to calculate Modulus of elasticity given compressive radial strain and Poisson's ratio using this online calculator? To use this online calculator for Modulus of elasticity given compressive radial strain and Poisson's ratio, enter Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎) & Compressive Strain (ε_compressive) and hit the calculate button. Here is how the Modulus of elasticity given compressive radial strain and Poisson's ratio calculation can be explained with given input values -> 1.5E-7 = (14000+(2*2000*0.3))/0.1.

FAQ

What is Modulus of elasticity given compressive radial strain and Poisson's ratio?

Modulus of elasticity given compressive radial strain and Poisson's ratio formula is defined as a measure of a material's ability to deform elastically when a compressive load is applied. It relates the stress and strain in thick spherical shells, providing insights into material behavior under pressure and is represented as F'_c = (P_v+(2*σ_θ*𝛎))/ε_compressive or Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Compressive Strain. 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 & The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.

How to calculate Modulus of elasticity given compressive radial strain and Poisson's ratio?

Modulus of elasticity given compressive radial strain and Poisson's ratio formula is defined as a measure of a material's ability to deform elastically when a compressive load is applied. It relates the stress and strain in thick spherical shells, providing insights into material behavior under pressure is calculated using Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Compressive Strain. To calculate Modulus of elasticity given compressive radial strain and Poisson's ratio, you need Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎) & Compressive Strain (ε_compressive). With our tool, you need to enter the respective value for Radial Pressure, Hoop Stress on thick shell, Poisson's Ratio & Compressive Strain 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 Adjusted design value?

In this formula, Adjusted design value uses Radial Pressure, Hoop Stress on thick shell, Poisson's Ratio & Compressive Strain. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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