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

✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter [∆d]			+10% -10%
✖Diameter of Shell is the maximum width of cylinder in transverse direction.ⓘ Diameter of Shell [D]			+10% -10%
✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+10% -10%
✖Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.ⓘ Length Of Cylindrical Shell [L_cylinder]			+10% -10%

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric strain of thin cylindrical shell given changes in diameter and length [ε_v]

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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)
ε_v = (2*∆d/D)+(ΔL/L_cylinder)
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

ε_v = (2*∆d/D)+(ΔL/L_cylinder) --> (2*0.0505/2.2)+(1.1/3)

Evaluating ... ...

ε_v = 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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National Institute Of Technology (NIT), Hamirpur

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< Deformation Calculators

Circumferential strain given internal fluid pressure

LaTeX 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

LaTeX 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)

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

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

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

LaTeX Go

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

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 ε_v 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 (L_cylinder) 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 ε_v = (2*∆d/D)+(ΔL/L_cylinder) 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 (L_cylinder). 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 = Change in Volume/Original Volume
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)

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