Mass of thick spherical shell given compressive radial strain Calculator

✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+10% -10%
✖Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity Of Thick Shell [E]			+10% -10%
✖The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.ⓘ Compressive Strain [ε_compressive]			+10% -10%
✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+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 thick spherical shell given compressive radial strain [M]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Mass of thick spherical shell given compressive radial strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)
M = (2*σ_θ)/((E*ε_compressive)-P_v)
This formula uses 5 Variables

Variables Used

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.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Modulus of Elasticity Of Thick Shell - (Measured in Pascal) - Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
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.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion here)
Compressive Strain: 0.1 --> No Conversion Required
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (2*σ_θ)/((E*ε_compressive)-P_v) --> (2*2000)/((2600000*0.1)-14000)

Evaluating ... ...

M = 0.016260162601626

STEP 3: Convert Result to Output's Unit

0.016260162601626 Kilogram --> No Conversion Required

FINAL ANSWER

0.016260162601626 ≈ 0.01626 Kilogram <-- Mass Of Shell

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Thick Spherical Shells » Mass of thick spherical shell given compressive radial strain

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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

Mass of thick spherical shell given compressive radial strain Formula

LaTeX Go

Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)
M = (2*σ_θ)/((E*ε_compressive)-P_v)

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 Mass of thick spherical shell given compressive radial strain?

Mass of thick spherical shell given compressive radial strain calculator uses Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure) to calculate the Mass Of Shell, The Mass of thick spherical shell given compressive radial strain formula is defined as a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity with respect to time) when a net force is applied. Mass Of Shell is denoted by M symbol.

How to calculate Mass of thick spherical shell given compressive radial strain using this online calculator? To use this online calculator for Mass of thick spherical shell given compressive radial strain, enter Hoop Stress on thick shell (σ_θ), Modulus of Elasticity Of Thick Shell (E), Compressive Strain (ε_compressive) & Radial Pressure (P_v) and hit the calculate button. Here is how the Mass of thick spherical shell given compressive radial strain calculation can be explained with given input values -> 0.01626 = (2*2000)/((2600000*0.1)-14000).

FAQ

What is Mass of thick spherical shell given compressive radial strain?

The Mass of thick spherical shell given compressive radial strain formula is defined as a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity with respect to time) when a net force is applied and is represented as M = (2*σ_θ)/((E*ε_compressive)-P_v) or Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure). Hoop Stress on thick shell is the circumferential stress in a cylinder, Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, 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 is pressure towards or away from the central axis of a component.

How to calculate Mass of thick spherical shell given compressive radial strain?

The Mass of thick spherical shell given compressive radial strain formula is defined as a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity with respect to time) when a net force is applied is calculated using Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure). To calculate Mass of thick spherical shell given compressive radial strain, you need Hoop Stress on thick shell (σ_θ), Modulus of Elasticity Of Thick Shell (E), Compressive Strain (ε_compressive) & Radial Pressure (P_v). With our tool, you need to enter the respective value for Hoop Stress on thick shell, Modulus of Elasticity Of Thick Shell, Compressive Strain & Radial Pressure 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 Mass Of Shell?

In this formula, Mass Of Shell uses Hoop Stress on thick shell, Modulus of Elasticity Of Thick Shell, Compressive Strain & Radial Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)

Home

FREE PDFs

🔍 Search