Longitudinal strain for vessel given change in length formula Calculator

✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+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%

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal strain for vessel given change in length formula [ε_longitudinal]

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Longitudinal strain for vessel given change in length formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Strain = Change in Length/Original Length
ε_longitudinal = ΔL/L₀
This formula uses 3 Variables

Variables Used

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

Change in Length: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Original Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_longitudinal = ΔL/L₀ --> 1.1/5

Evaluating ... ...

ε_longitudinal = 0.22

STEP 3: Convert Result to Output's Unit

0.22 --> No Conversion Required

FINAL ANSWER

0.22 <-- Longitudinal Strain

(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 » Mechanical » Deformation » Longitudinal strain for vessel given change in length formula

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Longitudinal strain in thin cylindrical vessel given internal fluid pressure

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Circumferential strain given hoop stress

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Longitudinal strain given hoop and longitudinal stress

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

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Circumferential strain given hoop stress

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Strain in any one direction of thin spherical shell

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Circumferential strain given circumference

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Longitudinal strain for vessel given change in length formula Formula

LaTeX Go

Longitudinal Strain = Change in Length/Original Length
ε_longitudinal = ΔL/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 Longitudinal strain for vessel given change in length formula?

Longitudinal strain for vessel given change in length formula calculator uses Longitudinal Strain = Change in Length/Original Length to calculate the Longitudinal Strain, The Longitudinal strain for vessel given change in length formula is defined as the change in the length to the original length of an object. It is caused due to longitudinal stress and is denoted by the Greek letter epsilon 𝜺. Longitudinal Strain is denoted by ε_longitudinal symbol.

How to calculate Longitudinal strain for vessel given change in length formula using this online calculator? To use this online calculator for Longitudinal strain for vessel given change in length formula, enter Change in Length (ΔL) & Original Length (L₀) and hit the calculate button. Here is how the Longitudinal strain for vessel given change in length formula calculation can be explained with given input values -> 0.22 = 1.1/5.

FAQ

What is Longitudinal strain for vessel given change in length formula?

The Longitudinal strain for vessel given change in length formula is defined as the change in the length to the original length of an object. It is caused due to longitudinal stress and is denoted by the Greek letter epsilon 𝜺 and is represented as ε_longitudinal = ΔL/L₀ or Longitudinal Strain = Change in Length/Original Length. Change in Length is after the application of force, change in the dimensions of the object & The Original Length refers to the material refers to its initial size or dimension before any external forces are applied.

How to calculate Longitudinal strain for vessel given change in length formula?

The Longitudinal strain for vessel given change in length formula is defined as the change in the length to the original length of an object. It is caused due to longitudinal stress and is denoted by the Greek letter epsilon 𝜺 is calculated using Longitudinal Strain = Change in Length/Original Length. To calculate Longitudinal strain for vessel given change in length formula, you need Change in Length (ΔL) & Original Length (L₀). With our tool, you need to enter the respective value for Change in Length & 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 Longitudinal Strain?

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

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

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