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

STEP 0: Pre-Calculation Summary
Formula Used
Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell)
εv = (2*∆d/D)+(ΔL/Lcylinder)
This formula uses 5 Variables
Variables Used
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
STEP 1: Convert Input(s) to Base Unit
Change in Diameter: 50.5 Millimeter --> 0.0505 Meter (Check conversion here)
Diameter of Shell: 2200 Millimeter --> 2.2 Meter (Check conversion here)
Change in Length: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εv = (2*∆d/D)+(ΔL/Lcylinder) --> (2*0.0505/2.2)+(1.1/3)
Evaluating ... ...
εv = 0.412575757575758
STEP 3: Convert Result to Output's Unit
0.412575757575758 --> No Conversion Required
FINAL ANSWER
0.412575757575758 0.412576 <-- Volumetric Strain
(Calculation completed in 00.004 seconds)

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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

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

Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell)
εv = (2*∆d/D)+(ΔL/Lcylinder)

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). The ratio of lateral strain to that of the longitudinal strain is termed as Poisson's ratio and it is represented by ϻ or 1/m.

How to Calculate Volumetric strain of thin cylindrical shell given changes in diameter and length?

Volumetric strain of thin cylindrical shell given changes in diameter and length calculator uses Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell) to calculate the Volumetric Strain, The Volumetric strain of thin cylindrical shell given changes in diameter and length formula is defined as the ratio of the change in volume of the body to the deformation to its original volume. Volumetric Strain is denoted by εv symbol.

How to calculate Volumetric strain of thin cylindrical shell given changes in diameter and length using this online calculator? To use this online calculator for Volumetric strain of thin cylindrical shell given changes in diameter and length, enter Change in Diameter (∆d), Diameter of Shell (D), Change in Length (ΔL) & Length Of Cylindrical Shell (Lcylinder) and hit the calculate button. Here is how the Volumetric strain of thin cylindrical shell given changes in diameter and length calculation can be explained with given input values -> 0.412576 = (2*0.0505/2.2)+(1.1/3).

FAQ

What is Volumetric strain of thin cylindrical shell given changes in diameter and length?
The Volumetric strain of thin cylindrical shell given changes in diameter and length formula is defined as the ratio of the change in volume of the body to the deformation to its original volume and is represented as εv = (2*∆d/D)+(ΔL/Lcylinder) or Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell). The Change in Diameter is the difference between the initial and final diameter, Diameter of Shell is the maximum width of cylinder in transverse direction, Change in Length is after the application of force, change in the dimensions of the object & Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
How to calculate Volumetric strain of thin cylindrical shell given changes in diameter and length?
The Volumetric strain of thin cylindrical shell given changes in diameter and length formula is defined as the ratio of the change in volume of the body to the deformation to its original volume is calculated using Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell). To calculate Volumetric strain of thin cylindrical shell given changes in diameter and length, you need Change in Diameter (∆d), Diameter of Shell (D), Change in Length (ΔL) & Length Of Cylindrical Shell (Lcylinder). With our tool, you need to enter the respective value for Change in Diameter, Diameter of Shell, Change in Length & Length Of Cylindrical 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 Volumetric Strain?
In this formula, Volumetric Strain uses Change in Diameter, Diameter of Shell, Change in Length & Length Of Cylindrical Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volumetric Strain = 2*Circumferential strain Thin Shell+(Longitudinal Strain)
  • 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)
  • Volumetric Strain = Change in Volume/Original Volume
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