Hoop stress given tensile circumferential strain for thick spherical shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
σθ = ((e1*E)-(Pv/M))/((M-1)/M)
This formula uses 5 Variables
Variables Used
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Circumferential strain - Circumferential strain represents the change in length.
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.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
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.
STEP 1: Convert Input(s) to Base Unit
Circumferential strain: 2.5 --> No Conversion Required
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion ​here)
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion ​here)
Mass Of Shell: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σθ = ((e1*E)-(Pv/M))/((M-1)/M) --> ((2.5*2600000)-(14000/35.45))/((35.45-1)/35.45)
Evaluating ... ...
σθ = 6688272.85921626
STEP 3: Convert Result to Output's Unit
6688272.85921626 Pascal -->6.68827285921626 Megapascal (Check conversion ​here)
FINAL ANSWER
6.68827285921626 6.688273 Megapascal <-- Hoop Stress on thick shell
(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

Hoop stress given tensile circumferential strain for thick spherical shell Formula

​LaTeX ​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)
σθ = ((e1*E)-(Pv/M))/((M-1)/M)

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 Hoop stress given tensile circumferential strain for thick spherical shell?

Hoop stress given tensile circumferential strain for thick spherical shell calculator uses 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) to calculate the Hoop Stress on thick shell, Hoop stress given tensile circumferential strain for thick spherical shell formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall. Hoop Stress on thick shell is denoted by σθ symbol.

How to calculate Hoop stress given tensile circumferential strain for thick spherical shell using this online calculator? To use this online calculator for Hoop stress given tensile circumferential strain for thick spherical shell, enter Circumferential strain (e1), Modulus of Elasticity Of Thick Shell (E), Radial Pressure (Pv) & Mass Of Shell (M) and hit the calculate button. Here is how the Hoop stress given tensile circumferential strain for thick spherical shell calculation can be explained with given input values -> 6.7E-6 = ((2.5*2600000)-(14000/35.45))/((35.45-1)/35.45).

FAQ

What is Hoop stress given tensile circumferential strain for thick spherical shell?
Hoop stress given tensile circumferential strain for thick spherical shell formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall and is represented as σθ = ((e1*E)-(Pv/M))/((M-1)/M) or 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). Circumferential strain represents the change in length, 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, Radial Pressure is pressure towards or away from the central axis of a component & Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.
How to calculate Hoop stress given tensile circumferential strain for thick spherical shell?
Hoop stress given tensile circumferential strain for thick spherical shell formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall is calculated using 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). To calculate Hoop stress given tensile circumferential strain for thick spherical shell, you need Circumferential strain (e1), Modulus of Elasticity Of Thick Shell (E), Radial Pressure (Pv) & Mass Of Shell (M). With our tool, you need to enter the respective value for Circumferential strain, Modulus of Elasticity Of Thick Shell, Radial Pressure & Mass Of Shell 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 Hoop Stress on thick shell?
In this formula, Hoop Stress on thick shell uses Circumferential strain, Modulus of Elasticity Of Thick Shell, Radial Pressure & Mass Of Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)*Mass Of Shell/2
  • Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)/(2*Poisson's Ratio)
  • Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)*Mass Of Shell/2
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