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%
✖The Original Length refers to the material refers to its initial size or dimension before any external forces are applied.ⓘ Original 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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Change in length of thin cylindrical vessel given longitudinal strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Length = Longitudinal Strain*Original 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.
Original Length - (Measured in Meter) - The Original Length refers to the material refers to its initial size or dimension before any external forces are applied.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Strain: 40 --> No Conversion Required
Original 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 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Mechanical » Change in Dimensions » Change in length of thin cylindrical vessel given longitudinal strain

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!

< Change in Dimensions Calculators

Change in diameter of vessel given internal fluid pressure

LaTeX 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

LaTeX 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 diameter in thin cylindrical strain given volumetric strain

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

Change in circumference of vessel due to pressure given circumferential strain

LaTeX Go Change in Circumference = Original Circumference*Circumferential Strain Thin Shell

< Change in Dimension Calculators

Change in diameter of vessel given internal fluid pressure

LaTeX 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

LaTeX 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 diameter in thin cylindrical strain given volumetric strain

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

Change in circumference of vessel due to pressure given circumferential strain

LaTeX Go Change in Circumference = Original Circumference*Circumferential Strain Thin Shell

Change in length of thin cylindrical vessel given longitudinal strain Formula

LaTeX Go

Change in Length = Longitudinal Strain*Original 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*Original 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) & Original 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*Original Length. The Longitudinal Strain is ratio of change in length to original length & The Original Length refers to the material refers to its initial size or dimension before any external forces are applied.

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*Original Length. To calculate Change in length of thin cylindrical vessel given longitudinal strain, you need Longitudinal Strain (ε_longitudinal) & Original Length (L₀). With our tool, you need to enter the respective value for Longitudinal Strain & Original 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 & Original 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))

Home

FREE PDFs

🔍 Search