Thickness of spherical shell given change in diameter of thin spherical shells Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness Of Thin Spherical Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)
t = ((Pi*(D^2))/(4*βˆ†d*E))*(1-π›Ž)
This formula uses 6 Variables
Variables Used
Thickness Of Thin Spherical Shell - (Measured in Meter) - Thickness Of Thin Spherical Shell is the distance through an object.
Internal Pressure - (Measured in Pascal) - Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.
Diameter of Sphere - (Measured in Meter) - Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter.
Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
Modulus of Elasticity Of Thin Shell - (Measured in Pascal) - Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
STEP 1: Convert Input(s) to Base Unit
Internal Pressure: 0.053 Megapascal --> 53000 Pascal (Check conversion here)
Diameter of Sphere: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Change in Diameter: 50.5 Millimeter --> 0.0505 Meter (Check conversion here)
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = ((Pi*(D^2))/(4*βˆ†d*E))*(1-π›Ž) --> ((53000*(1.5^2))/(4*0.0505*10000000))*(1-0.3)
Evaluating ... ...
t = 0.0413242574257426
STEP 3: Convert Result to Output's Unit
0.0413242574257426 Meter -->41.3242574257426 Millimeter (Check conversion here)
FINAL ANSWER
41.3242574257426 β‰ˆ 41.32426 Millimeter <-- Thickness Of Thin Spherical Shell
(Calculation completed in 00.004 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!

17 Change in Dimension of Thin Spherical Shell due to Internal Pressure Calculators

Diameter of spherical shell given change in diameter of thin spherical shells
Go Diameter of Sphere = sqrt((Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure))
Thickness of spherical shell given change in diameter of thin spherical shells
Go Thickness Of Thin Spherical Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)
Modulus of elasticity given change in diameter of thin spherical shells
Go Modulus of Elasticity Of Thin Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Change in Diameter))*(1-Poisson's Ratio)
Change in diameter of thin spherical shell
Go Change in Diameter = ((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)
Modulus of elasticity for thin spherical shell given strain and internal fluid pressure
Go Modulus of Elasticity Of Thin Shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Strain in thin shell))*(1-Poisson's Ratio)
Internal fluid pressure in thin spherical shell given strain in any one direction
Go Internal Pressure = (Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere)
Internal fluid pressure given change in diameter of thin spherical shells
Go Internal Pressure = (Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere^2)
Thickness of thin spherical shell given strain in any one direction
Go Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)
Diameter of thin spherical shell given strain in any one direction
Go Diameter of Sphere = (Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure)
Poisson's ratio given change in diameter of thin spherical shells
Go Poisson's Ratio = 1-(Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(Internal Pressure*(Diameter of Sphere^2)))
Strain in thin spherical shell given internal fluid pressure
Go Strain in thin shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)
Poisson's ratio for thin spherical shell given strain and internal fluid pressure
Go Poisson's Ratio = 1-(Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(Internal Pressure*Diameter of Sphere))
Hoop stress in thin spherical shell given strain in any one direction and Poisson's ratio
Go Hoop Stress in Thin shell = (Strain in thin shell/(1-Poisson's Ratio))*Modulus of Elasticity Of Thin Shell
Modulus of elasticity of thin spherical shell given strain in any one direction
Go Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio)
Hoop stress induced in thin spherical shell given strain in any one direction
Go Hoop Stress in Thin shell = (Strain in thin shell/(1-Poisson's Ratio))*Modulus of Elasticity Of Thin Shell
Strain in any one direction of thin spherical shell
Go Strain in thin shell = (Hoop Stress in Thin shell/Modulus of Elasticity Of Thin Shell)*(1-Poisson's Ratio)
Poisson's ratio for thin spherical shell given strain in any one direction
Go Poisson's Ratio = 1-(Modulus of Elasticity Of Thin Shell*Strain in thin shell/Hoop Stress in Thin shell)

Thickness of spherical shell given change in diameter of thin spherical shells Formula

Thickness Of Thin Spherical Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)
t = ((Pi*(D^2))/(4*βˆ†d*E))*(1-π›Ž)

How do you reduce stress hoop?

We can suggest that the most efficient method is to apply double cold expansion with high interferences along with axial compression with strain equal to 0.5%. This technique helps to reduce the absolute value of hoop residual stresses by 58%, and decrease radial stresses by 75%.

How to Calculate Thickness of spherical shell given change in diameter of thin spherical shells?

Thickness of spherical shell given change in diameter of thin spherical shells calculator uses Thickness Of Thin Spherical Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio) to calculate the Thickness Of Thin Spherical Shell, The Thickness of spherical shell given change in diameter of thin spherical shells formula is defined as the distance through an object, as distinct from width or height. Thickness Of Thin Spherical Shell is denoted by t symbol.

How to calculate Thickness of spherical shell given change in diameter of thin spherical shells using this online calculator? To use this online calculator for Thickness of spherical shell given change in diameter of thin spherical shells, enter Internal Pressure (Pi), Diameter of Sphere (D), Change in Diameter (βˆ†d), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (π›Ž) and hit the calculate button. Here is how the Thickness of spherical shell given change in diameter of thin spherical shells calculation can be explained with given input values -> 41324.26 = ((53000*(1.5^2))/(4*0.0505*10000000))*(1-0.3).

FAQ

What is Thickness of spherical shell given change in diameter of thin spherical shells?
The Thickness of spherical shell given change in diameter of thin spherical shells formula is defined as the distance through an object, as distinct from width or height and is represented as t = ((Pi*(D^2))/(4*βˆ†d*E))*(1-π›Ž) or Thickness Of Thin Spherical Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio). Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature, Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter, The Change in Diameter is the difference between the initial and final diameter, Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it & Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
How to calculate Thickness of spherical shell given change in diameter of thin spherical shells?
The Thickness of spherical shell given change in diameter of thin spherical shells formula is defined as the distance through an object, as distinct from width or height is calculated using Thickness Of Thin Spherical Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio). To calculate Thickness of spherical shell given change in diameter of thin spherical shells, you need Internal Pressure (Pi), Diameter of Sphere (D), Change in Diameter (βˆ†d), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (π›Ž). With our tool, you need to enter the respective value for Internal Pressure, Diameter of Sphere, Change in Diameter, Modulus of Elasticity Of Thin Shell & Poisson's Ratio 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 Thickness Of Thin Spherical Shell?
In this formula, Thickness Of Thin Spherical Shell uses Internal Pressure, Diameter of Sphere, Change in Diameter, Modulus of Elasticity Of Thin Shell & Poisson's Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)
Let Others Know
βœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!