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

✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+10% -10%
✖Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass Of Shell [M]			+10% -10%
✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+10% -10%
✖Circumferential strain represents the change in length.ⓘ Circumferential Strain [e₁]			+10% -10%

✖Adjusted design value for compression corrects the design value by using some factor.ⓘ Modulus of elasticity given tensile circumferential strain for thick spherical shell [F'_c]

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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 = (σ_θ*((M-1)/M)+(P_v/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 = (σ_θ*((M-1)/M)+(P_v/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 00.004 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 tensile circumferential strain for thick spherical shell Formula

LaTeX Go

Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential Strain
F'_c = (σ_θ*((M-1)/M)+(P_v/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 measure of the material's ability to deform elastically when subjected to tensile stress. It reflects the relationship between stress and strain in thick spherical shells under load conditions. 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 (σ_θ), Mass Of Shell (M), Radial Pressure (P_v) & 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 measure of the material's ability to deform elastically when subjected to tensile stress. It reflects the relationship between stress and strain in thick spherical shells under load conditions and is represented as F'_c = (σ_θ*((M-1)/M)+(P_v/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 measure of the material's ability to deform elastically when subjected to tensile stress. It reflects the relationship between stress and strain in thick spherical shells under load conditions 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 (σ_θ), Mass Of Shell (M), Radial Pressure (P_v) & 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 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))/Compressive Strain

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