Modulus of elasticity thick spherical shell given tensile radial strain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Tensile Strain)
F'c = ((Pv+(2*σθ/M))/εtensile)
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.
Mass Of Shell - (Measured in Kilogram) - Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Tensile Strain - Tensile Strain is the ratio of change in length to original length.
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)
Mass Of Shell: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Tensile Strain: 0.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F'c = ((Pv+(2*σθ/M))/εtensile) --> ((14000+(2*2000/35.45))/0.6)
Evaluating ... ...
F'c = 23521.3916314057
STEP 3: Convert Result to Output's Unit
23521.3916314057 Pascal -->0.0235213916314057 Megapascal (Check conversion ​here)
FINAL ANSWER
0.0235213916314057 0.023521 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 thick spherical shell given tensile radial strain Formula

​LaTeX ​Go
Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Tensile Strain)
F'c = ((Pv+(2*σθ/M))/εtensile)

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 thick spherical shell given tensile radial strain?

Modulus of elasticity thick spherical shell given tensile radial strain calculator uses Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Tensile Strain) to calculate the Adjusted design value, Modulus of elasticity thick spherical shell given tensile radial strain formula is defined as a relationship that describes the elastic behavior of thick spherical shells under tensile radial strain, providing insights into their mechanical properties and structural integrity when subjected to internal pressures. Adjusted design value is denoted by F'c symbol.

How to calculate Modulus of elasticity thick spherical shell given tensile radial strain using this online calculator? To use this online calculator for Modulus of elasticity thick spherical shell given tensile radial strain, enter Radial Pressure (Pv), Hoop Stress on thick shell θ), Mass Of Shell (M) & Tensile Strain tensile) and hit the calculate button. Here is how the Modulus of elasticity thick spherical shell given tensile radial strain calculation can be explained with given input values -> 2.4E-8 = ((14000+(2*2000/35.45))/0.6).

FAQ

What is Modulus of elasticity thick spherical shell given tensile radial strain?
Modulus of elasticity thick spherical shell given tensile radial strain formula is defined as a relationship that describes the elastic behavior of thick spherical shells under tensile radial strain, providing insights into their mechanical properties and structural integrity when subjected to internal pressures and is represented as F'c = ((Pv+(2*σθ/M))/εtensile) or Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Tensile 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, Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it & Tensile Strain is the ratio of change in length to original length.
How to calculate Modulus of elasticity thick spherical shell given tensile radial strain?
Modulus of elasticity thick spherical shell given tensile radial strain formula is defined as a relationship that describes the elastic behavior of thick spherical shells under tensile radial strain, providing insights into their mechanical properties and structural integrity when subjected to internal pressures is calculated using Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Tensile Strain). To calculate Modulus of elasticity thick spherical shell given tensile radial strain, you need Radial Pressure (Pv), Hoop Stress on thick shell θ), Mass Of Shell (M) & Tensile Strain tensile). With our tool, you need to enter the respective value for Radial Pressure, Hoop Stress on thick shell, Mass Of Shell & Tensile 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, Mass Of Shell & Tensile 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*Poisson's Ratio))/Compressive Strain
  • Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Tensile Strain)
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