Modulus of elasticity given tensile circumferential strain for thick spherical shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential strain
F'c = (σθ*((M-1)/M)+(Pv/M))/e1
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.
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.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
Circumferential strain - Circumferential strain represents the change in length.
STEP 1: Convert Input(s) to Base Unit
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
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)
Circumferential strain: 2.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F'c = (σθ*((M-1)/M)+(Pv/M))/e1 --> (2000*((35.45-1)/35.45)+(14000/35.45))/2.5
Evaluating ... ...
F'c = 935.40197461213
STEP 3: Convert Result to Output's Unit
935.40197461213 Pascal -->0.00093540197461213 Megapascal (Check conversion here)
FINAL ANSWER
0.00093540197461213 0.000935 Megapascal <-- Adjusted design value
(Calculation completed in 00.020 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)

Modulus of elasticity given tensile circumferential strain for thick spherical shell Formula

Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential strain
F'c = (σθ*((M-1)/M)+(Pv/M))/e1

Where is bending stress maximum?

The bottom die has a large deflection due to the bending force. The maximum bending stress occurs at the top surface of the die, and its location is corresponding to the inner bumps of the bottom die. The deflection of the beam is proportional to the bending moment, which is also proportional to the bending force.

How to Calculate Modulus of elasticity given tensile circumferential strain for thick spherical shell?

Modulus of elasticity given tensile circumferential strain for thick spherical shell calculator uses Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential strain to calculate the Adjusted design value, Modulus of elasticity given tensile circumferential strain for thick spherical shell 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 tensile circumferential strain for thick spherical shell using this online calculator? To use this online calculator for Modulus of elasticity given tensile circumferential strain for thick spherical shell, enter Hoop Stress on thick shell θ), Mass Of Shell (M), Radial Pressure (Pv) & Circumferential strain (e1) and hit the calculate button. Here is how the Modulus of elasticity given tensile circumferential strain for thick spherical shell calculation can be explained with given input values -> 9.4E-10 = (2000*((35.45-1)/35.45)+(14000/35.45))/2.5.

FAQ

What is Modulus of elasticity given tensile circumferential strain for thick spherical shell?
Modulus of elasticity given tensile circumferential strain for thick spherical shell 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 = (σθ*((M-1)/M)+(Pv/M))/e1 or Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential strain. 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, Radial Pressure is pressure towards or away from the central axis of a component & Circumferential strain represents the change in length.
How to calculate Modulus of elasticity given tensile circumferential strain for thick spherical shell?
Modulus of elasticity given tensile circumferential strain for thick spherical shell 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 = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential strain. To calculate Modulus of elasticity given tensile circumferential strain for thick spherical shell, you need Hoop Stress on thick shell θ), Mass Of Shell (M), Radial Pressure (Pv) & Circumferential strain (e1). With our tool, you need to enter the respective value for Hoop Stress on thick shell, Mass Of Shell, Radial Pressure & Circumferential 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 Hoop Stress on thick shell, Mass Of Shell, Radial Pressure & Circumferential strain. We can use 4 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))/Compressive Strain
  • Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Tensile Strain)
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