Change in length in thin cylindrical strain given volumetric strain Calculator

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%
✖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%
✖Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.ⓘ Length Of Cylindrical Shell [L_cylinder]			+10% -10%

✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in length in thin cylindrical strain given volumetric strain [ΔL]

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Change in length in thin cylindrical strain given volumetric strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Length = (Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell
ΔL = (ε_v-(2*∆d/D))*L_cylinder
This formula uses 5 Variables

Variables Used

Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
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.
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

Volumetric Strain: 30 --> No Conversion Required
Change in Diameter: 50.5 Millimeter --> 0.0505 Meter (Check conversion here)
Diameter of Shell: 2200 Millimeter --> 2.2 Meter (Check conversion here)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔL = (ε_v-(2*∆d/D))*L_cylinder --> (30-(2*0.0505/2.2))*3

Evaluating ... ...

ΔL = 89.8622727272727

STEP 3: Convert Result to Output's Unit

89.8622727272727 Meter -->89862.2727272727 Millimeter (Check conversion here)

FINAL ANSWER

89862.2727272727 ≈ 89862.27 Millimeter <-- Change in Length

(Calculation completed in 00.004 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 » Change in Dimensions » Change in length in thin cylindrical strain given volumetric strain

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National Institute Of Technology (NIT), Hamirpur

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< Change in Dimensions Calculators

Change in diameter of vessel given internal fluid pressure

LaTeX Go Change in Diameter = ((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*(1-(Poisson's Ratio/2))

Change in diameter of cylindrical shell given change in volume of cylindrical shell

LaTeX Go Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)

Change in diameter in thin cylindrical strain given volumetric strain

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

Change in circumference of vessel due to pressure given circumferential strain

Go Change in Circumference = Original Circumference*Circumferential Strain Thin Shell

< Change in Dimension Calculators

Change in diameter of vessel given internal fluid pressure

LaTeX Go Change in Diameter = ((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*(1-(Poisson's Ratio/2))

Change in diameter of cylindrical shell given change in volume of cylindrical shell

LaTeX Go Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)

Change in diameter in thin cylindrical strain given volumetric strain

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

Change in circumference of vessel due to pressure given circumferential strain

Go Change in Circumference = Original Circumference*Circumferential Strain Thin Shell

Change in length in thin cylindrical strain given volumetric strain Formula

LaTeX Go

Change in Length = (Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell
ΔL = (ε_v-(2*∆d/D))*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). Poisson's ratio: 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 Change in length in thin cylindrical strain given volumetric strain?

Change in length in thin cylindrical strain given volumetric strain calculator uses Change in Length = (Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell to calculate the Change in Length, The Change in length in thin cylindrical strain given volumetric strain formula is defined as the measurement or extent of something from end to end. Change in Length is denoted by ΔL symbol.

How to calculate Change in length in thin cylindrical strain given volumetric strain using this online calculator? To use this online calculator for Change in length in thin cylindrical strain given volumetric strain, enter Volumetric Strain (ε_v), Change in Diameter (∆d), Diameter of Shell (D) & Length Of Cylindrical Shell (L_cylinder) and hit the calculate button. Here is how the Change in length in thin cylindrical strain given volumetric strain calculation can be explained with given input values -> 9E+7 = (30-(2*0.0505/2.2))*3.

FAQ

What is Change in length in thin cylindrical strain given volumetric strain?

The Change in length in thin cylindrical strain given volumetric strain formula is defined as the measurement or extent of something from end to end and is represented as ΔL = (ε_v-(2*∆d/D))*L_cylinder or Change in Length = (Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell. The Volumetric Strain is the ratio of change in volume to original volume, 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 & Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.

How to calculate Change in length in thin cylindrical strain given volumetric strain?

The Change in length in thin cylindrical strain given volumetric strain formula is defined as the measurement or extent of something from end to end is calculated using Change in Length = (Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell. To calculate Change in length in thin cylindrical strain given volumetric strain, you need Volumetric Strain (ε_v), Change in Diameter (∆d), Diameter of Shell (D) & Length Of Cylindrical Shell (L_cylinder). With our tool, you need to enter the respective value for Volumetric Strain, Change in Diameter, Diameter of Shell & 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 Change in Length?

In this formula, Change in Length uses Volumetric Strain, Change in Diameter, Diameter of Shell & Length Of Cylindrical Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

Change in Length = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)
Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2))
Change in Length = Longitudinal Strain*Original Length

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