Mass of thick spherical shell given tensile 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*Tensile Strain)-Radial Pressure)
M = (2*σθ)/((E*εtensile)-Pv)
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.
Tensile Strain - Tensile Strain is the ratio of change in length to original length.
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)
Tensile Strain: 0.6 --> 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*σθ)/((E*εtensile)-Pv) --> (2*2000)/((2600000*0.6)-14000)
Evaluating ... ...
M = 0.00258732212160414
STEP 3: Convert Result to Output's Unit
0.00258732212160414 Kilogram --> No Conversion Required
FINAL ANSWER
0.00258732212160414 0.002587 Kilogram <-- Mass Of Shell
(Calculation completed in 00.020 seconds)

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!

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)

Mass of thick spherical shell given tensile radial strain Formula

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

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 tensile radial strain?

Mass of thick spherical shell given tensile radial strain calculator uses Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure) to calculate the Mass Of Shell, Mass of thick spherical shell given tensile radial strain is 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 tensile radial strain using this online calculator? To use this online calculator for Mass of thick spherical shell given tensile radial strain, enter Hoop Stress on thick shell θ), Modulus of Elasticity Of Thick Shell (E), Tensile Strain tensile) & Radial Pressure (Pv) and hit the calculate button. Here is how the Mass of thick spherical shell given tensile radial strain calculation can be explained with given input values -> 0.002587 = (2*2000)/((2600000*0.6)-14000).

FAQ

What is Mass of thick spherical shell given tensile radial strain?
Mass of thick spherical shell given tensile radial strain is 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*σθ)/((E*εtensile)-Pv) or Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Tensile 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, Tensile Strain is the ratio of change in length to original length & Radial Pressure is pressure towards or away from the central axis of a component.
How to calculate Mass of thick spherical shell given tensile radial strain?
Mass of thick spherical shell given tensile radial strain is 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*Tensile Strain)-Radial Pressure). To calculate Mass of thick spherical shell given tensile radial strain, you need Hoop Stress on thick shell θ), Modulus of Elasticity Of Thick Shell (E), Tensile Strain tensile) & Radial Pressure (Pv). With our tool, you need to enter the respective value for Hoop Stress on thick shell, Modulus of Elasticity Of Thick Shell, Tensile 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, Tensile 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*Compressive Strain)-Radial Pressure)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!