Diameter of cylindrical shell given change in length of cylindrical shell Calculator

✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖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.ⓘ Modulus of Elasticity Of Thin Shell [E]			+10% -10%
✖Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal Pressure in thin shell [P_i]			+10% -10%
✖Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.ⓘ Length Of Cylindrical Shell [L_cylinder]			+10% -10%
✖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.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖Diameter of Shell is the maximum width of cylinder in transverse direction.ⓘ Diameter of cylindrical shell given change in length of cylindrical shell [D]

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Diameter of cylindrical shell given change in length of cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio))
D = (ΔL*(2*t*E))/(((P_i*L_cylinder))*((1/2)-𝛎))
This formula uses 7 Variables

Variables Used

Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
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.
Internal Pressure in thin shell - (Measured in Pascal) - Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
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

Change in Length: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (ΔL*(2*t*E))/(((P_i*L_cylinder))*((1/2)-𝛎)) --> (1.1*(2*0.525*10000000))/(((14000000*3))*((1/2)-0.3))

Evaluating ... ...

D = 1.375

STEP 3: Convert Result to Output's Unit

1.375 Meter -->1375 Millimeter (Check conversion here)

FINAL ANSWER

1375 Millimeter <-- Diameter of Shell

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Mechanical » Stress and Strain » Diameter of cylindrical shell given change in length of cylindrical shell

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Stress and Strain Calculators

Internal diameter of thin cylindrical vessel given circumferential strain

LaTeX Go Inner Diameter of Cylinder = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*((1/2)-Poisson's Ratio))

Internal fluid pressure given circumferential strain

LaTeX Go Internal Pressure in thin shell = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Inner Diameter of Cylinder))*((1/2)-Poisson's Ratio))

Longitudinal stress given circumferential strain

LaTeX Go Longitudinal Stress Thick Shell = (Hoop Stress in Thin shell-(Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Poisson's Ratio

Hoop stress given circumferential strain

LaTeX Go Hoop Stress in Thin shell = (Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick Shell)

< Cylinders And Spheres Calculators

Diameter of spherical shell given change in diameter of thin spherical shells

LaTeX 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

LaTeX 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)

Internal fluid pressure given change in diameter of thin spherical shells

LaTeX 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)

Diameter of thin spherical shell given strain in any one direction

LaTeX 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)

Diameter of cylindrical shell given change in length of cylindrical shell Formula

LaTeX Go

What is volumetric stress?

When the deforming force or applied force acts from all dimensions resulting in the change of volume of the object then such stress is called volumetric stress or Bulk stress. In short, when the volume of the body changes due to the deforming force it is termed Volume stress.

How to Calculate Diameter of cylindrical shell given change in length of cylindrical shell?

Diameter of cylindrical shell given change in length of cylindrical shell calculator uses Diameter of Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio)) to calculate the Diameter of Shell, The Diameter of cylindrical shell given change in length of cylindrical shell formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle. Diameter of Shell is denoted by D symbol.

How to calculate Diameter of cylindrical shell given change in length of cylindrical shell using this online calculator? To use this online calculator for Diameter of cylindrical shell given change in length of cylindrical shell, enter Change in Length (ΔL), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i), Length Of Cylindrical Shell (L_cylinder) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Diameter of cylindrical shell given change in length of cylindrical shell calculation can be explained with given input values -> 1.4E+6 = (1.1*(2*0.525*10000000))/(((14000000*3))*((1/2)-0.3)).

FAQ

What is Diameter of cylindrical shell given change in length of cylindrical shell?

The Diameter of cylindrical shell given change in length of cylindrical shell formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle and is represented as D = (ΔL*(2*t*E))/(((P_i*L_cylinder))*((1/2)-𝛎)) or Diameter of Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio)). Change in Length is after the application of force, change in the dimensions of the object, Thickness Of Thin Shell is the distance through an object, 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, Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end & 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 Diameter of cylindrical shell given change in length of cylindrical shell?

The Diameter of cylindrical shell given change in length of cylindrical shell formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle is calculated using Diameter of Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio)). To calculate Diameter of cylindrical shell given change in length of cylindrical shell, you need Change in Length (ΔL), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i), Length Of Cylindrical Shell (L_cylinder) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Change in Length, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell, Internal Pressure in thin shell, Length Of Cylindrical 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 Diameter of Shell?

In this formula, Diameter of Shell uses Change in Length, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell, Internal Pressure in thin shell, Length Of Cylindrical Shell & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Internal Pressure in thin shell)*((5/2)-Poisson's Ratio))
Diameter of Shell = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))
Diameter of Shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Internal Pressure in thin shell)*((5/2)-Poisson's Ratio))

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