Longitudinal strain given volumetric strain for thin cylindrical shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Longitudinal Strain = (Volumetric Strain-(2*Circumferential strain Thin Shell))
εlongitudinal = (εv-(2*e1))
This formula uses 3 Variables
Variables Used
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Circumferential strain Thin Shell - Circumferential strain Thin Shell represents the change in length.
STEP 1: Convert Input(s) to Base Unit
Volumetric Strain: 46 --> No Conversion Required
Circumferential strain Thin Shell: 2.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εlongitudinal = (εv-(2*e1)) --> (46-(2*2.5))
Evaluating ... ...
εlongitudinal = 41
STEP 3: Convert Result to Output's Unit
41 --> No Conversion Required
FINAL ANSWER
41 <-- Longitudinal Strain
(Calculation completed in 00.004 seconds)

Credits

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 volumetric strain for thin cylindrical shell Formula

Longitudinal Strain = (Volumetric Strain-(2*Circumferential strain Thin Shell))
εlongitudinal = (εv-(2*e1))

What is the relation between lateral strain and longitudinal strain?

Lateral strain is defined as the ratio of decrease in the length of the bar in the perpendicular direction of applied load to that of the original length (gauge length). Poisson's ratio is the ratio of lateral strain to that of the longitudinal strain is termed Poisson's ratio and it is represented by ϻ or 1/m.

How to Calculate Longitudinal strain given volumetric strain for thin cylindrical shell?

Longitudinal strain given volumetric strain for thin cylindrical shell calculator uses Longitudinal Strain = (Volumetric Strain-(2*Circumferential strain Thin Shell)) to calculate the Longitudinal Strain, The Longitudinal strain given volumetric strain for thin cylindrical shell 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 εlongitudinal symbol.

How to calculate Longitudinal strain given volumetric strain for thin cylindrical shell using this online calculator? To use this online calculator for Longitudinal strain given volumetric strain for thin cylindrical shell, enter Volumetric Strain v) & Circumferential strain Thin Shell (e1) and hit the calculate button. Here is how the Longitudinal strain given volumetric strain for thin cylindrical shell calculation can be explained with given input values -> 25 = (46-(2*2.5)).

FAQ

What is Longitudinal strain given volumetric strain for thin cylindrical shell?
The Longitudinal strain given volumetric strain for thin cylindrical shell 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 εlongitudinal = (εv-(2*e1)) or Longitudinal Strain = (Volumetric Strain-(2*Circumferential strain Thin Shell)). The Volumetric Strain is the ratio of change in volume to original volume & Circumferential strain Thin Shell represents the change in length.
How to calculate Longitudinal strain given volumetric strain for thin cylindrical shell?
The Longitudinal strain given volumetric strain for thin cylindrical shell 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 = (Volumetric Strain-(2*Circumferential strain Thin Shell)). To calculate Longitudinal strain given volumetric strain for thin cylindrical shell, you need Volumetric Strain v) & Circumferential strain Thin Shell (e1). With our tool, you need to enter the respective value for Volumetric Strain & 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 Volumetric Strain & 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 = (Change in Volume/Volume of Thin Cylindrical Shell)-(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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