Change in length of thin cylindrical vessel given longitudinal strain Calculator

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+10% -10%
✖Initial Length before the application of load.ⓘ Initial Length [l₀]			+10% -10%

✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in length of thin cylindrical vessel given longitudinal strain [ΔL]

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Formula

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Change in length of thin cylindrical vessel given longitudinal strain

Formula

`"ΔL" = "ε"_{"longitudinal"}*"l"_{"0"}`

Example

`"200000mm"="40"*"5000mm"`

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Change in length of thin cylindrical vessel given longitudinal strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Length = Longitudinal Strain*Initial Length
ΔL = ε_longitudinal*l₀
This formula uses 3 Variables

Variables Used

Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
Initial Length - (Measured in Meter) - Initial Length before the application of load.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Strain: 40 --> No Conversion Required
Initial Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔL = ε_longitudinal*l₀ --> 40*5

Evaluating ... ...

ΔL = 200

STEP 3: Convert Result to Output's Unit

200 Meter -->200000 Millimeter (Check conversion here)

FINAL ANSWER

200000 Millimeter <-- Change in Length

(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 » Change in Dimensions » Change in length of thin cylindrical vessel given longitudinal strain

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 12 Change in Dimensions Calculators

Change in length of thin cylindrical shell given internal fluid pressure

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

Change in diameter of vessel given internal fluid pressure

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

Change in diameter of cylindrical shell given change in volume of cylindrical shell

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

Change in length of cylindrical shell given change in volume of cylindrical shell

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

Change in volume of thin cylindrical shell

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

Change in diameter in thin cylindrical strain given volumetric strain

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

Change in length in thin cylindrical strain given volumetric strain

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

Change in volume given circumferential strain and longitudinal strain

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

Change in circumference of vessel due to pressure given circumferential strain

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

Change in diameter of thin cylindrical vessel (Circumferential strain)

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

Change in length of thin cylindrical vessel given longitudinal strain

Go Change in Length = Longitudinal Strain*Initial Length

Change in volume of cylindrical shell given volumetric strain

Go Change in Volume = Volumetric Strain*Original Volume

Change in length of thin cylindrical vessel given longitudinal strain Formula

Change in Length = Longitudinal Strain*Initial Length
ΔL = ε_longitudinal*l₀

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Change in length of thin cylindrical vessel given longitudinal strain?

Change in length of thin cylindrical vessel given longitudinal strain calculator uses Change in Length = Longitudinal Strain*Initial Length to calculate the Change in Length, Change in length of thin cylindrical vessel given longitudinal strain is the change in length of the vessel when pressure is applied to it. Change in Length is denoted by ΔL symbol.

How to calculate Change in length of thin cylindrical vessel given longitudinal strain using this online calculator? To use this online calculator for Change in length of thin cylindrical vessel given longitudinal strain, enter Longitudinal Strain (ε_longitudinal) & Initial Length (l₀) and hit the calculate button. Here is how the Change in length of thin cylindrical vessel given longitudinal strain calculation can be explained with given input values -> 2E+8 = 40*5.

FAQ

What is Change in length of thin cylindrical vessel given longitudinal strain?

Change in length of thin cylindrical vessel given longitudinal strain is the change in length of the vessel when pressure is applied to it and is represented as ΔL = ε_longitudinal*l₀ or Change in Length = Longitudinal Strain*Initial Length. The Longitudinal Strain is ratio of change in length to original length & Initial Length before the application of load.

How to calculate Change in length of thin cylindrical vessel given longitudinal strain?

Change in length of thin cylindrical vessel given longitudinal strain is the change in length of the vessel when pressure is applied to it is calculated using Change in Length = Longitudinal Strain*Initial Length. To calculate Change in length of thin cylindrical vessel given longitudinal strain, you need Longitudinal Strain (ε_longitudinal) & Initial Length (l₀). With our tool, you need to enter the respective value for Longitudinal Strain & Initial Length 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 Change in Length?

In this formula, Change in Length uses Longitudinal Strain & Initial Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

Change in Length = (Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell
Change in Length = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)
Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2))

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