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
εcompressive = (Pv+(2*σθ*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
εcompressive = (Pv+(2*σθ*𝛎))/F'c --> (14000+(2*2000*0.3))/10000000
Evaluating ... ...
εcompressive = 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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24 Thick Spherical Shells Calculators

Hoop stress given tensile circumferential strain for thick spherical shell
Go Hoop Stress on thick shell = ((Circumferential strain*Modulus of Elasticity Of Thick Shell)-(Radial Pressure/Mass Of Shell))/((Mass Of Shell-1)/Mass Of Shell)
Radial pressure given tensile circumferential strain for thick spherical shell
Go Radial Pressure = ((Circumferential strain*Modulus of Elasticity Of Thick Shell)-Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell))*Mass Of Shell
Modulus of elasticity given tensile circumferential strain for thick spherical shell
Go Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential strain
Tensile circumferential strain for thick spherical shell
Go Circumferential strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value
Poisson's ratio for thick spherical shell given compressive radial strain
Go Poisson's Ratio = 1/((2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure))
Poisson's Ratio for Thick Spherical Shell given Tensile Radial Strain
Go Poisson's Ratio = (1/(2*Hoop Stress on thick shell))*((-Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)
Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio
Go Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)/(2*Poisson's Ratio)
Mass of thick spherical shell given compressive radial strain
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 tensile radial strain and Poisson's ratio
Go Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)/(2*Poisson's Ratio)
Hoop stress on thick spherical shell given compressive radial strain
Go Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)*Mass Of Shell/2
Mass of thick spherical shell given tensile radial strain
Go Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)
Hoop stress on thick spherical shell given tensile radial strain
Go Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)*Mass Of Shell/2
Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio
Go Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)
Compressive radial strain given Poisson's ratio for thick spherical shell
Go Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value
Modulus of elasticity given compressive radial strain and Poisson's ratio
Go Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Compressive Strain
Modulus of elasticity for thick spherical shell given compressive radial strain
Go Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Compressive Strain
Radial pressure on thick spherical shell given compressive radial strain
Go Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell)
Tensile radial strain given Poisson's ratio for thick spherical shell
Go Tensile Strain = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value)
Modulus of elasticity given tensile radial strain and Poisson's ratio
Go Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Tensile Strain)
Compressive radial strain for thick spherical shells
Go Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value
Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio
Go Radial Pressure = (Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)
Modulus of elasticity thick spherical shell given tensile radial strain
Go Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Tensile Strain)
Radial pressure on thick spherical shell given tensile radial strain
Go Radial Pressure = ((Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell/Mass Of Shell))
Tensile radial strain for thick spherical shell
Go Tensile 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

Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value
εcompressive = (Pv+(2*σθ*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 the deformation in a solid due to the application of compressive stress. in other words, compressive strain is produced when a body decreases in length when equal and opposite forces try to compress (or squeeze) it. Compressive Strain is denoted by εcompressive 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 (Pv), Hoop Stress on thick shell 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 the deformation in a solid due to the application of compressive stress. in other words, compressive strain is produced when a body decreases in length when equal and opposite forces try to compress (or squeeze) it and is represented as εcompressive = (Pv+(2*σθ*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 the deformation in a solid due to the application of compressive stress. in other words, compressive strain is produced when a body decreases in length when equal and opposite forces try to compress (or squeeze) it 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 (Pv), Hoop Stress on thick shell 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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