Original length of vessel given longitudinal strain Calculator

✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+10% -10%
✖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 of vessel given longitudinal strain [L₀]

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Original length of vessel given longitudinal strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Change in Length: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Longitudinal Strain: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L₀ = ΔL/ε_longitudinal --> 1.1/40

Evaluating ... ...

L₀ = 0.0275

STEP 3: Convert Result to Output's Unit

0.0275 Meter -->27.5 Millimeter (Check conversion here)

FINAL ANSWER

27.5 Millimeter <-- Original Length

(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 » Stress and Strain » Original length of vessel given longitudinal strain

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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)

< Strain Calculators

Strain in thin spherical shell given internal fluid pressure

LaTeX Go Strain in thin shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)

Circumferential strain given hoop stress

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

Strain in any one direction of thin spherical shell

LaTeX Go Strain in thin shell = (Hoop Stress in Thin shell/Modulus of Elasticity Of Thin Shell)*(1-Poisson's Ratio)

Circumferential strain given circumference

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Original length of vessel given longitudinal strain Formula

LaTeX Go

Original Length = Change in Length/Longitudinal Strain
L₀ = ΔL/ε_longitudinal

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 Original length of vessel given longitudinal strain?

Original length of vessel given longitudinal strain calculator uses Original Length = Change in Length/Longitudinal Strain to calculate the Original Length, The Original length of vessel given longitudinal strain formula is defined as the measurement or extent of something from end to end. Original Length is denoted by L₀ symbol.

How to calculate Original length of vessel given longitudinal strain using this online calculator? To use this online calculator for Original length of vessel given longitudinal strain, enter Change in Length (ΔL) & Longitudinal Strain (ε_longitudinal) and hit the calculate button. Here is how the Original length of vessel given longitudinal strain calculation can be explained with given input values -> 27500 = 1.1/40.

FAQ

What is Original length of vessel given longitudinal strain?

The Original length of vessel given longitudinal strain formula is defined as the measurement or extent of something from end to end and is represented as L₀ = ΔL/ε_longitudinal or Original Length = Change in Length/Longitudinal Strain. Change in Length is after the application of force, change in the dimensions of the object & The Longitudinal Strain is ratio of change in length to original length.

How to calculate Original length of vessel given longitudinal strain?

The Original length of vessel given longitudinal strain formula is defined as the measurement or extent of something from end to end is calculated using Original Length = Change in Length/Longitudinal Strain. To calculate Original length of vessel given longitudinal strain, you need Change in Length (ΔL) & Longitudinal Strain (ε_longitudinal). With our tool, you need to enter the respective value for Change in Length & Longitudinal Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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