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 = (Pv+(2*σθ*𝛎))/εcompressive
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 = (Pv+(2*σθ*𝛎))/εcompressive --> (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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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 = (Pv+(2*σθ*𝛎))/εcompressive

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 quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. 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 (Pv), Hoop Stress on thick shell θ), Poisson's Ratio (𝛎) & Compressive Strain 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 quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it and is represented as F'c = (Pv+(2*σθ*𝛎))/εcompressive 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 quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it 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 (Pv), Hoop Stress on thick shell θ), Poisson's Ratio (𝛎) & Compressive Strain 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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