Longitudinal strain given volume of thin cylindrical shell Calculator

✖The Change in volume is difference of initial and final volume.ⓘ Change in Volume [∆V]			+10% -10%
✖Volume of Thin Cylindrical Shell is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume of Thin Cylindrical Shell [V_T]			+10% -10%
✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential strain Thin Shell [e₁]			+10% -10%

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal strain given volume of thin cylindrical shell [ε_longitudinal]

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Formula

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Longitudinal strain given volume of thin cylindrical shell

Formula

`"ε"_{"longitudinal"} = ("∆V"/"V"_{"T"})-(2*"e"_{"1"})`

Example

`"50"=("3465m³"/"63m³")-(2*"2.5")`

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Longitudinal strain given volume of thin cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential strain Thin Shell)
ε_longitudinal = (∆V/V_T)-(2*e₁)
This formula uses 4 Variables

Variables Used

Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
Change in Volume - (Measured in Cubic Meter) - The Change in volume is difference of initial and final volume.
Volume of Thin Cylindrical Shell - (Measured in Cubic Meter) - Volume of Thin Cylindrical Shell is the amount of space that a substance or object occupies or that is enclosed within a container.
Circumferential strain Thin Shell - Circumferential strain Thin Shell represents the change in length.

STEP 1: Convert Input(s) to Base Unit

Change in Volume: 3465 Cubic Meter --> 3465 Cubic Meter No Conversion Required
Volume of Thin Cylindrical Shell: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Circumferential strain Thin Shell: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_longitudinal = (∆V/V_T)-(2*e₁) --> (3465/63)-(2*2.5)

Evaluating ... ...

ε_longitudinal = 50

STEP 3: Convert Result to Output's Unit

50 --> No Conversion Required

FINAL ANSWER

50 <-- Longitudinal Strain

(Calculation completed in 00.004 seconds)

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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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< 15 Strain Calculators

Circumferential strain given internal fluid pressure

Go Circumferential strain Thin Shell = ((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 in thin cylindrical vessel given internal fluid pressure

Go 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)

Volumetric strain given internal fluid pressure

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

Circumferential strain given hoop stress

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

Longitudinal strain given hoop and longitudinal stress

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

Volumetric strain of thin cylindrical shell given changes in diameter and length

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

Circumferential strain given volume of thin cylindrical shell

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

Longitudinal strain given volume of thin cylindrical shell

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

Circumferential strain given circumference

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

Longitudinal strain given volumetric strain for thin cylindrical shell

Go Longitudinal Strain = (Volumetric Strain-(2*Circumferential strain Thin Shell))

Circumferential strain given volumetric strain for thin cylindrical shell

Go Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2

Volumetric strain given circumferential strain and longitudinal strain

Go Volumetric Strain = 2*Circumferential strain Thin Shell+(Longitudinal Strain)

Circumferential strain of vessel given diameter

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

Longitudinal strain for vessel given change in length formula

Go Longitudinal Strain = Change in Length/Initial Length

Volumetric strain of thin cylindrical shell

Go Volumetric Strain = Change in Volume/Original Volume

Longitudinal strain given volume of thin cylindrical shell Formula

Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential strain Thin Shell)
ε_longitudinal = (∆V/V_T)-(2*e₁)

What is tensile strength with example?

Tensile strength is a measurement of the force required to pull something such as rope, wire, or a structural beam to the point where it breaks. The tensile strength of a material is the maximum amount of tensile stress that it can take before failure, for example, breaking.

How to Calculate Longitudinal strain given volume of thin cylindrical shell?

Longitudinal strain given volume of thin cylindrical shell calculator uses Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential strain Thin Shell) to calculate the Longitudinal Strain, The Longitudinal strain given volume of thin cylindrical shell formula is defined as change in the length to the original length of an object. Longitudinal Strain is denoted by ε_longitudinal symbol.

How to calculate Longitudinal strain given volume of thin cylindrical shell using this online calculator? To use this online calculator for Longitudinal strain given volume of thin cylindrical shell, enter Change in Volume (∆V), Volume of Thin Cylindrical Shell (V_T) & Circumferential strain Thin Shell (e₁) and hit the calculate button. Here is how the Longitudinal strain given volume of thin cylindrical shell calculation can be explained with given input values -> -4.111111 = (3465/63)-(2*2.5).

FAQ

What is Longitudinal strain given volume of thin cylindrical shell?

The Longitudinal strain given volume of thin cylindrical shell formula is defined as change in the length to the original length of an object and is represented as ε_longitudinal = (∆V/V_T)-(2*e₁) or Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential strain Thin Shell). The Change in volume is difference of initial and final volume, Volume of Thin Cylindrical Shell is the amount of space that a substance or object occupies or that is enclosed within a container & Circumferential strain Thin Shell represents the change in length.

How to calculate Longitudinal strain given volume of thin cylindrical shell?

The Longitudinal strain given volume of thin cylindrical shell formula is defined as change in the length to the original length of an object is calculated using Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential strain Thin Shell). To calculate Longitudinal strain given volume of thin cylindrical shell, you need Change in Volume (∆V), Volume of Thin Cylindrical Shell (V_T) & Circumferential strain Thin Shell (e₁). With our tool, you need to enter the respective value for Change in Volume, Volume of Thin Cylindrical Shell & Circumferential strain Thin 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 Longitudinal Strain?

In this formula, Longitudinal Strain uses Change in Volume, Volume of Thin Cylindrical Shell & Circumferential strain Thin Shell. We can use 4 other way(s) to calculate the same, which is/are as follows -

Longitudinal Strain = Change in Length/Initial Length
Longitudinal Strain = (Longitudinal Stress Thick Shell-(Poisson's Ratio*Hoop Stress in Thin shell))/Modulus of Elasticity Of Thin Shell
Longitudinal Strain = (Volumetric Strain-(2*Circumferential strain 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)

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