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%
✖Adjusted design value for compression corrects the design value by using some factor.ⓘ Adjusted design value [F'_c]			+10% -10%

✖Circumferential strain represents the change in length.ⓘ Tensile circumferential strain for thick spherical shell [e₁]

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Tensile circumferential strain for thick spherical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value
e₁ = (σ_θ*((M-1)/M)+(P_v/M))/F'_c
This formula uses 5 Variables

Variables Used

Circumferential Strain - Circumferential strain represents the change in length.
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.
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

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)
Adjusted design value: 10 Megapascal --> 10000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = (σ_θ*((M-1)/M)+(P_v/M))/F'_c --> (2000*((35.45-1)/35.45)+(14000/35.45))/10000000

Evaluating ... ...

e₁ = 0.000233850493653032

STEP 3: Convert Result to Output's Unit

0.000233850493653032 --> No Conversion Required

FINAL ANSWER

0.000233850493653032 ≈ 0.000234 <-- Circumferential Strain

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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

Tensile circumferential strain for thick spherical shell Formula

LaTeX Go

Circumferential Strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value
e₁ = (σ_θ*((M-1)/M)+(P_v/M))/F'_c

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 Tensile circumferential strain for thick spherical shell?

Tensile circumferential strain for thick spherical shell calculator uses Circumferential Strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value to calculate the Circumferential Strain, Tensile circumferential strain for thick spherical shell formula is defined as a measure of the deformation experienced by a thick spherical shell under internal pressure. It quantifies how much the material stretches in the circumferential direction, which is crucial for assessing structural integrity and performance. Circumferential Strain is denoted by e₁ symbol.

How to calculate Tensile circumferential strain for thick spherical shell using this online calculator? To use this online calculator for Tensile circumferential strain for thick spherical shell, enter Hoop Stress on thick shell (σ_θ), Mass Of Shell (M), Radial Pressure (P_v) & Adjusted design value (F'_c) and hit the calculate button. Here is how the Tensile circumferential strain for thick spherical shell calculation can be explained with given input values -> 0.000234 = (2000*((35.45-1)/35.45)+(14000/35.45))/10000000.

FAQ

What is Tensile circumferential strain for thick spherical shell?

Tensile circumferential strain for thick spherical shell formula is defined as a measure of the deformation experienced by a thick spherical shell under internal pressure. It quantifies how much the material stretches in the circumferential direction, which is crucial for assessing structural integrity and performance and is represented as e₁ = (σ_θ*((M-1)/M)+(P_v/M))/F'_c or Circumferential Strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value. 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 & Adjusted design value for compression corrects the design value by using some factor.

How to calculate Tensile circumferential strain for thick spherical shell?

Tensile circumferential strain for thick spherical shell formula is defined as a measure of the deformation experienced by a thick spherical shell under internal pressure. It quantifies how much the material stretches in the circumferential direction, which is crucial for assessing structural integrity and performance is calculated using Circumferential Strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value. To calculate Tensile circumferential strain for thick spherical shell, you need Hoop Stress on thick shell (σ_θ), Mass Of Shell (M), Radial Pressure (P_v) & Adjusted design value (F'_c). With our tool, you need to enter the respective value for Hoop Stress on thick shell, Mass Of Shell, Radial Pressure & Adjusted design value and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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