Diameter of thin cylindrical strain given volumetric strain Calculator

✖Change in Distance is the difference between consecutive points between adjacent fluid layers.ⓘ Change in Distance [dy]			+10% -10%
✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%
✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+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%

✖Diameter of Shell is the maximum width of cylinder in transverse direction.ⓘ Diameter of thin cylindrical strain given volumetric strain [D]

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Formula

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Diameter of thin cylindrical strain given volumetric strain

Formula

`"D" = 2*"dy"/("ε"_{"v"}-("ΔL"/"L"_{"cylinder"}))`

Example

`"67.49156mm"=2*"1000mm"/("30"-("1100mm"/"3000mm"))`

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Diameter of thin cylindrical strain given volumetric strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shell = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))
D = 2*dy/(ε_v-(ΔL/L_cylinder))
This formula uses 5 Variables

Variables Used

Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
Change in Distance - (Measured in Meter) - Change in Distance is the difference between consecutive points between adjacent fluid layers.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.

STEP 1: Convert Input(s) to Base Unit

Change in Distance: 1000 Millimeter --> 1 Meter (Check conversion here)
Volumetric Strain: 30 --> No Conversion Required
Change in Length: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = 2*dy/(ε_v-(ΔL/L_cylinder)) --> 2*1/(30-(1.1/3))

Evaluating ... ...

D = 0.0674915635545557

STEP 3: Convert Result to Output's Unit

0.0674915635545557 Meter -->67.4915635545557 Millimeter (Check conversion here)

FINAL ANSWER

67.4915635545557 ≈ 67.49156 Millimeter <-- Diameter of Shell

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Diameter of thin cylindrical strain given volumetric strain

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National Institute Of Technology (NIT), Hamirpur

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< 23 Effect of Internal Pressure on Dimension of Thin Cylindrical Shell Calculators

Diameter of cylindrical shell given change in length of cylindrical shell

Go 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))

Length of cylindrical shell given change in length of cylindrical shell

Go Length Of Cylindrical Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Diameter of Shell))*((1/2)-Poisson's Ratio))

Internal fluid pressure given change in length of cylindrical shell

Go Internal Pressure in thin shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Diameter of Shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio))

Internal diameter of thin cylindrical vessel given circumferential strain

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

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))

Internal fluid pressure in thin cylindrical vessel given change in diameter

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

Internal fluid pressure in thin cylindrical vessel given longitudinal strain

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

Internal diameter of thin cylindrical vessel given longitudinal strain

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

Original diameter of vessel given change in diameter

Go Original Diameter = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*(1-(Poisson's Ratio/2)))^(1/2)

Length of cylindrical shell given change in volume of cylindrical shell

Go Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter)

Diameter of thin cylindrical shell given volumetric strain

Go 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))

Internal fluid pressure in shell given volumetric strain

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

Longitudinal stress given circumferential strain

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

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

Hoop stress in thin cylindrical vessel given Longitudinal strain

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

Longitudinal stress in thin cylindrical vessel given Longitudinal strain

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

Diameter of thin cylindrical strain given volumetric strain

Go Diameter of Shell = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))

Length of thin cylindrical strain given volumetric strain

Go Length Of Cylindrical Shell = Change in Length/(Volumetric Strain-(2*Change in Diameter/Diameter of Shell))

Volume of thin cylindrical shell given circumferential and longitudinal strain

Go Volume of Thin Cylindrical Shell = Change in Volume/((2*Circumferential strain Thin Shell)+Longitudinal Strain)

Original circumference of thin cylindrical vessel given circumferential strain

Go Original Circumference = Change in circumference/Circumferential strain Thin Shell

Original diameter of thin cylindrical vessel given circumferential strain

Go Original Diameter = Change in Diameter/Circumferential strain Thin Shell

Original length of vessel given longitudinal strain

Go Initial Length = Change in Length/Longitudinal Strain

Original volume of cylindrical shell given volumetric strain

Go Original Volume = Change in Volume/Volumetric Strain

Diameter of thin cylindrical strain given volumetric strain Formula

Diameter of Shell = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))
D = 2*dy/(ε_v-(ΔL/L_cylinder))

What is the relation between lateral strain and longitudinal strain?

Lateral strain is defined as the ratio of decrease in the length of the bar in the perpendicular direction of applied load to that of the original length (gauge length). Poisson's ratio is the ratio of lateral strain to that of the longitudinal strain is termed Poisson's ratio and it is represented by ϻ or 1/m.

How to Calculate Diameter of thin cylindrical strain given volumetric strain?

Diameter of thin cylindrical strain given volumetric strain calculator uses Diameter of Shell = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell)) to calculate the Diameter of Shell, The Diameter of thin cylindrical strain given volumetric strain 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 thin cylindrical strain given volumetric strain using this online calculator? To use this online calculator for Diameter of thin cylindrical strain given volumetric strain, enter Change in Distance (dy), Volumetric Strain (ε_v), Change in Length (ΔL) & Length Of Cylindrical Shell (L_cylinder) and hit the calculate button. Here is how the Diameter of thin cylindrical strain given volumetric strain calculation can be explained with given input values -> 67491.56 = 2*1/(30-(1.1/3)).

FAQ

What is Diameter of thin cylindrical strain given volumetric strain?

The Diameter of thin cylindrical strain given volumetric strain 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 = 2*dy/(ε_v-(ΔL/L_cylinder)) or Diameter of Shell = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell)). Change in Distance is the difference between consecutive points between adjacent fluid layers, The Volumetric Strain is the ratio of change in volume to original volume, Change in Length is after the application of force, change in the dimensions of the object & Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.

How to calculate Diameter of thin cylindrical strain given volumetric strain?

The Diameter of thin cylindrical strain given volumetric strain 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 = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell)). To calculate Diameter of thin cylindrical strain given volumetric strain, you need Change in Distance (dy), Volumetric Strain (ε_v), Change in Length (ΔL) & Length Of Cylindrical Shell (L_cylinder). With our tool, you need to enter the respective value for Change in Distance, Volumetric Strain, Change in Length & Length Of Cylindrical 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 Diameter of Shell?

In this formula, Diameter of Shell uses Change in Distance, Volumetric Strain, Change in Length & Length Of Cylindrical Shell. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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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